%PDF-1.3
1 0 obj
<< /Type /Catalog
/Outlines 2 0 R
/Pages 3 0 R >>
endobj
2 0 obj
<< /Type /Outlines /Count 0 >>
endobj
3 0 obj
<< /Type /Pages
/Kids [6 0 R
9 0 R
11 0 R
13 0 R
15 0 R
17 0 R
19 0 R
21 0 R
23 0 R
25 0 R
27 0 R
29 0 R
31 0 R
]
/Count 13
/Resources <<
/ProcSet 4 0 R
/Font <<
/F1 8 0 R
>>
>>
/MediaBox [0.000 0.000 595.280 841.890]
>>
endobj
4 0 obj
[/PDF /Text ]
endobj
5 0 obj
<<
/Producer (XeTeX Version: 3.1.0)
/CreationDate (D:20220929182830+00'00')
/ModDate (D:20220929182830+00'00')
/Title (File Type PDF Complex Analysis Solutions Lars Ahlfors Copy - equityoffice.com)
/Subject (equityoffice.com)
/Author (Cornell University Press)
/Keywords (Bookmark File PDF File Type PDF Complex Analysis Solutions Lars Ahlfors Copy - equityoffice.com)
>>
endobj
6 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 595.280 841.890]
/Parent 3 0 R
/Contents 7 0 R
>>
endobj
7 0 obj
<<
/Length 4531 >>
stream
0.000 0.000 0.000 rg
BT 34.016 760.940 Td /F1 28.5 Tf [(Complex Analysis Solutions Lars Ahlfors)] TJ ET
BT 34.016 706.716 Td /F1 14.2 Tf [(As recognized, adventure as capably as experience practically lesson, )] TJ ET
BT 34.016 689.317 Td /F1 14.2 Tf [(amusement, as with ease as deal can be gotten by just checking out a books )] TJ ET
BT 34.016 671.918 Td /F1 14.2 Tf [(Complex Analysis Solutions Lars Ahlfors)] TJ ET
BT 289.803 671.918 Td /F1 14.2 Tf [( as well as it is not directly done, you )] TJ ET
BT 34.016 654.519 Td /F1 14.2 Tf [(could tolerate even more all but this life, in the region of the world. )] TJ ET
BT 34.016 620.019 Td /F1 14.2 Tf [(We provide you this proper as competently as easy mannerism to get those all. )] TJ ET
BT 34.016 602.620 Td /F1 14.2 Tf [(We pay for Complex Analysis Solutions Lars Ahlfors and numerous books )] TJ ET
BT 34.016 585.221 Td /F1 14.2 Tf [(collections from fictions to scientific research in any way. accompanied by them is )] TJ ET
BT 34.016 567.822 Td /F1 14.2 Tf [(this Complex Analysis Solutions Lars Ahlfors that can be your partner.)] TJ ET
BT 34.016 504.822 Td /F1 14.2 Tf [(Mathematical Methods Of Theoretical Physics)] TJ ET
BT 323.861 504.822 Td /F1 14.2 Tf [( Karl Svozil 2020-02-24 This book )] TJ ET
BT 34.016 487.423 Td /F1 14.2 Tf [(contains very explicit proofs and demonstrations through examples for a )] TJ ET
BT 34.016 470.024 Td /F1 14.2 Tf [(comprehensive introduction to the mathematical methods of theoretical physics. It )] TJ ET
BT 34.016 452.625 Td /F1 14.2 Tf [(also combines and unifies many expositions of this subject, suitable for readers )] TJ ET
BT 34.016 435.225 Td /F1 14.2 Tf [(with interest in experimental and applied physics.)] TJ ET
BT 34.016 417.826 Td /F1 14.2 Tf [(Functions of a Complex Variable)] TJ ET
BT 239.928 417.826 Td /F1 14.2 Tf [( George F. Carrier 2005-01-01 Functions of a )] TJ ET
BT 34.016 400.427 Td /F1 14.2 Tf [(complex variable are used to solve applications in various branches of )] TJ ET
BT 34.016 383.028 Td /F1 14.2 Tf [(mathematics, science, and engineering. Functions of a Complex Variable: Theory )] TJ ET
BT 34.016 365.628 Td /F1 14.2 Tf [(and Technique is a book in a special category of influential classics because it is )] TJ ET
BT 34.016 348.229 Td /F1 14.2 Tf [(based on the authors' extensive experience in modeling complicated situations and )] TJ ET
BT 34.016 330.830 Td /F1 14.2 Tf [(providing analytic solutions. The book makes available to readers a )] TJ ET
BT 34.016 313.431 Td /F1 14.2 Tf [(comprehensive range of these analytical techniques based upon complex variable )] TJ ET
BT 34.016 296.031 Td /F1 14.2 Tf [(theory. Advanced topics covered include asymptotics, transforms, the Wiener-Hopf )] TJ ET
BT 34.016 278.632 Td /F1 14.2 Tf [(method, and dual and singular integral equations. The authors provide many )] TJ ET
BT 34.016 261.233 Td /F1 14.2 Tf [(exercises, incorporating them into the body of the text. Audience: intended for )] TJ ET
BT 34.016 243.834 Td /F1 14.2 Tf [(applied mathematicians, scientists, engineers, and senior or graduate-level )] TJ ET
BT 34.016 226.434 Td /F1 14.2 Tf [(students who have advanced knowledge in calculus and are interested in such )] TJ ET
BT 34.016 209.035 Td /F1 14.2 Tf [(subjects as complex variable theory, function theory, mathematical methods, )] TJ ET
BT 34.016 191.636 Td /F1 14.2 Tf [(advanced engineering mathematics, and mathematical physics.)] TJ ET
BT 34.016 174.237 Td /F1 14.2 Tf [(Complex Analysis)] TJ ET
BT 147.246 174.237 Td /F1 14.2 Tf [( Serge Lang 2013-06-29 The present book is meant as a text for )] TJ ET
BT 34.016 156.837 Td /F1 14.2 Tf [(a course on complex analysis at the advanced undergraduate level, or first-year )] TJ ET
BT 34.016 139.438 Td /F1 14.2 Tf [(graduate level. Somewhat more material has been included than can be covered )] TJ ET
BT 34.016 122.039 Td /F1 14.2 Tf [(at leisure in one term, to give opportunities for the instructor to exercise his taste, )] TJ ET
BT 34.016 104.640 Td /F1 14.2 Tf [(and lead the course in whatever direction strikes his fancy at the time. A large )] TJ ET
BT 34.016 87.240 Td /F1 14.2 Tf [(number of routine exercises are included for the more standard portions, and a few )] TJ ET
BT 34.016 69.841 Td /F1 14.2 Tf [(harder exercises of striking theoretical interest are also included, but may be )] TJ ET
BT 34.016 52.442 Td /F1 14.2 Tf [(omitted in courses addressed to less advanced students. In some sense, I think )] TJ ET
endstream
endobj
8 0 obj
<< /Type /Font
/Subtype /Type1
/Name /F1
/BaseFont /Helvetica
/Encoding /WinAnsiEncoding
>>
endobj
9 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 595.280 841.890]
/Parent 3 0 R
/Contents 10 0 R
>>
endobj
10 0 obj
<<
/Length 5455 >>
stream
0.000 0.000 0.000 rg
BT 34.016 793.955 Td /F1 14.2 Tf [(the classical German prewar texts were the best \(Hurwitz-Courant, Knopp, )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(Bieberbach, etc. \) and I would recom mend to anyone to look through them. More )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(recent texts have empha sized connections with real analysis, which is important, )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(but at the cost of exhibiting succinctly and clearly what is peculiar about complex )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(anal ysis: the power series expansion, the uniqueness of analytic continuation, and )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(the calculus of residues. The systematic elementary development of formal and )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(convergent power series was standard fare in the German texts, but only Cartan, )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(in the more recent books, includes this material, which I think is quite essential, e. )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(g. , for differential equations. I have written a short text, exhibiting these features, )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(making it applicable to a wide variety of tastes. The book essentially decomposes )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(into two parts.)] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(My Life and Functions)] TJ ET
BT 173.409 602.563 Td /F1 14.2 Tf [( Walter K. Hayman 2014 Walter Hayman was born in )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(Cologne, Germany in 1926, and was sent to Britain in 1938 to escape the Nazis. )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(Educated at Gordonstoun School in Scotland and at St John's College, )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(Cambridge, he was influenced by M. L. Cartwright and J. E. Littlewood. After a )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(period at various universities he was elected to the Royal Society in 1956 and )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(appointed Professor of Pure Mathematics at Imperial College, London. For over 30 )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(years he ran a famous school in Complex Analysis, attracting mathematicians from )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(all over the world. After retiring, he then spent 10 years at York before returning to )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(Imperial College, where he is a Senior Research Fellow. He has received many )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(prizes, awards and honorary degrees. Twice widowed, he now lives in )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(Gloucestershire with his third wife, Marie. He gives a frank account of a life )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(dominated by mathematics, music, friendship, family and service. There are 15 )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(photographs, a complete list of his 218 publications to date, and a comprehensive )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(index. A paperback edition is also available.)] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(Hermitian Analysis)] TJ ET
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
34.016 356.622 m 151.991 356.622 l S
BT 151.991 358.974 Td /F1 14.2 Tf [( John P. D'Angelo 2013-09-24 ??Hermitian Analysis: From )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(Fourier Series to Cauchy-Riemann Geometry provides a coherent, integrated look )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(at various topics from undergraduate analysis. It begins with Fourier series, )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(continues with Hilbert spaces, discusses the Fourier transform on the real line, and )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(then turns to the heart of the book, geometric considerations. This chapter includes )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(complex differential forms, geometric inequalities from one and several complex )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(variables, and includes some of the author's results. The concept of orthogonality )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(weaves the material into a coherent whole. This textbook will be a useful resource )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(for upper-undergraduate students who intend to continue with mathematics, )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(graduate students interested in analysis, and researchers interested in some basic )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(aspects of CR Geometry. The inclusion of several hundred exercises makes this )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(book suitable for a capstone undergraduate Honors class.?)] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(Quantum Mechanics for Mathematicians)] TJ ET
BT 289.019 150.183 Td /F1 14.2 Tf [( Leon Armenovich Takhtadzhi?an 2008 )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(This book provides a comprehensive treatment of quantum mechanics from a )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(mathematics perspective and is accessible to mathematicians starting with second-)] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(year graduate students. It addition to traditional topics, like classical mechanics, )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(mathematical foundations of quantum mechanics, quantization, and the )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(Schrodinger equation, this book gives a mathematical treatment of systems of )] TJ ET
endstream
endobj
11 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 595.280 841.890]
/Parent 3 0 R
/Contents 12 0 R
>>
endobj
12 0 obj
<<
/Length 5416 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 793.955 Td /F1 14.2 Tf [(identical particles with spin, and it introduces the reader to functional methods in )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(quantum mechanics. This includes the Feynman path integral approach to )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(quantum mechanics, integration in functional spaces, the relation between )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(Feynman and Wiener integrals, Gaussian integration and regularized determinants )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(of differential operators, fermion systems and integration over anticommuting )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(\(Grassmann\) variables, supersymmetry and localization in loop spaces, and )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(supersymmetric derivation of the Atiyah-Singer formula for the index of the Dirac )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(operator. Prior to this book, mathematicians could find these topics only in physics )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(textbooks and in specialized literature. This book is written in a concise style with )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(careful attention to precise mathematics formulation of methods and )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(results.Numerous problems, from routine to advanced, help the reader to master )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(the subject. In addition to providing a fundamental knowledge of quantum )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(mechanics, this book could also serve as a bridge for studying more advanced )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(topics in quantum physics, among them quantum field theory. Prerequisites )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(include standard first-year graduate courses covering linear and abstract algebra, )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(topology and geometry, and real and complex analysis.)] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(Basic Complex Analysis)] TJ ET
BT 186.049 515.567 Td /F1 14.2 Tf [( Jerrold E. Marsden 1999 Basic Complex Analysis skillfully )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(combines a clear exposition of core theory with a rich variety of applications. )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(Designed for undergraduates in mathematics, the physical sciences, and )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(engineering who have completed two years of calculus and are taking complex )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(analysis for the first time..)] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(Complex Analysis)] TJ ET
BT 147.246 428.571 Td /F1 14.2 Tf [( Elias M. Stein 2010-04-22 With this second volume, we enter )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(the intriguing world of complex analysis. From the first theorems on, the elegance )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(and sweep of the results is evident. The starting point is the simple idea of )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(extending a function initially given for real values of the argument to one that is )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(defined when the argument is complex. From there, one proceeds to the main )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(properties of holomorphic functions, whose proofs are generally short and quite )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(illuminating: the Cauchy theorems, residues, analytic continuation, the argument )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(principle. With this background, the reader is ready to learn a wealth of additional )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(material connecting the subject with other areas of mathematics: the Fourier )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(transform treated by contour integration, the zeta function and the prime number )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(theorem, and an introduction to elliptic functions culminating in their application to )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(combinatorics and number theory. Thoroughly developing a subject with many )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(ramifications, while striking a careful balance between conceptual insights and the )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(technical underpinnings of rigorous analysis, Complex Analysis will be welcomed )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(by students of mathematics, physics, engineering and other sciences. The )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(Princeton Lectures in Analysis represents a sustained effort to introduce the core )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(areas of mathematical analysis while also illustrating the organic unity between )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(them. Numerous examples and applications throughout its four planned volumes, )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(of which Complex Analysis is the second, highlight the far-reaching consequences )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(of certain ideas in analysis to other fields of mathematics and a variety of sciences. )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(Stein and Shakarchi move from an introduction addressing Fourier series and )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(integrals to in-depth considerations of complex analysis; measure and integration )] TJ ET
endstream
endobj
13 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 595.280 841.890]
/Parent 3 0 R
/Contents 14 0 R
>>
endobj
14 0 obj
<<
/Length 5596 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 793.955 Td /F1 14.2 Tf [(theory, and Hilbert spaces; and, finally, further topics such as functional analysis, )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(distributions and elements of probability theory.)] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(Elementary Theory of Analytic Functions of One or Several Complex Variables)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 756.805 m 528.989 756.805 l S
BT 34.016 741.757 Td /F1 14.2 Tf [(Henri Cartan 2013-04-22 Basic treatment includes existence theorem for solutions )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(of differential systems where data is analytic, holomorphic functions, Cauchy's )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.)] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(Dynamics in One Complex Variable. \(AM-160\))] TJ ET
BT 326.212 689.559 Td /F1 14.2 Tf [( John Milnor 2011-02-11 This )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(volume studies the dynamics of iterated holomorphic mappings from a Riemann )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(surface to itself, concentrating on the classical case of rational maps of the )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(Riemann sphere. This subject is large and rapidly growing. These lectures are )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(intended to introduce some key ideas in the field, and to form a basis for further )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(study. The reader is assumed to be familiar with the rudiments of complex variable )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(theory and of two-dimensional differential geometry, as well as some basic topics )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(from topology. This third edition contains a number of minor additions and )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(improvements: A historical survey has been added, the definition of Lattés map )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(has been made more inclusive, and the écalle-Voronin theory of parabolic points is )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(described. The résidu itératif is studied, and the material on two complex variables )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(has been expanded. Recent results on effective computability have been added, )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(and the references have been expanded and updated. Written in his usual brilliant )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(style, the author makes difficult mathematics look easy. This book is a very )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(accessible source for much of what has been accomplished in the field.)] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(An Introduction to Complex Function Theory)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 426.219 m 312.803 426.219 l S
BT 312.803 428.571 Td /F1 14.2 Tf [( Bruce P. Palka 1991 This book )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(provides a rigorous yet elementary introduction to the theory of analytic functions )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(of a single complex variable. While presupposing in its readership a degree of )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(mathematical maturity, it insists on no formal prerequisites beyond a sound )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(knowledge of calculus. Starting from basic definitions, the text slowly and carefully )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(develops the ideas of complex analysis to the point where such landmarks of the )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(subject as Cauchy's theorem, the Riemann mapping theorem, and the theorem of )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(Mittag-Leffler can be treated without sidestepping any issues of rigor. The )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(emphasis throughout is a geometric one, most pronounced in the extensive )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(chapter dealing with conformal mapping, which amounts essentially to a "short )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(course" in that important area of complex function theory. Each chapter concludes )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(with a wide selection of exercises, ranging from straightforward computations to )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(problems of a more conceptual and thought-provoking nature.)] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(The Bieberbach Conjecture)] TJ ET
BT 207.467 202.380 Td /F1 14.2 Tf [( Albert Baernstein 1986 For over 70 years, the )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(Bieberbach conjecture has intrigued the mathematical world. Many students of )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(mathematics, who have had a first course in function theory, have tried their hand )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(at a proof. But many have invested fruitless years of carefully manipulating )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(inequalities in an attempt to establish the correct bound. In 1977, Louis de Branges )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(of Purdue University took up the challenge of this famous unsolved problem, but in )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(his case the outcome was different. He will be recognized as the mathematician )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(who proved Bieberbach's conjecture. And more importantly, his method came from )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(totally unexpected sources: operator theory and special functions.This book, based )] TJ ET
endstream
endobj
15 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 595.280 841.890]
/Parent 3 0 R
/Contents 16 0 R
>>
endobj
16 0 obj
<<
/Length 5516 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 793.955 Td /F1 14.2 Tf [(on the Symposium on the Occasion of the Proof, tells the story behind this )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(fascinating proof and offers insight into the nature of the conjecture, its history and )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(its proof. A special and unusual feature of the book is the enlightened personal )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(accounts of the people involved in the exciting events surrounding the proof. )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(Especially attractive are the photographs of mathematicians who have made )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(significant contributions to univalent functions, the area of complex analysis which )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(provides the setting for the Bieberbach conjecture.Research mathematicians, )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(especially analysts, are sure to enjoy the articles in this volume. Most articles )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(require only a basic knowledge of real and complex analysis. The survey articles )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(are accessible to non-specialists, and the personal accounts of all who have )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(played a part in this important discovery will fascinate any reader. 'The remarks by )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(de Branges himself about the discovery of his proof should be read by all young )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(mathematicians. He describes the difficulty he had in convincing the experts in the )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(field that a mathematician, whose work was considered to lie in an entirely different )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(area, had actually proved a problem of such long standing. When a mathematician )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(is sure that he has the solution of a problem, he must persist until he convinces )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(others or is actually proved wrong' - Prepublication comments by James A. )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(Hummel, The University of Maryland, College Park.)] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(Geometry V)] TJ ET
BT 110.039 480.768 Td /F1 14.2 Tf [( Robert Osserman 2013-03-14 Few people outside of mathematics are )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(aware of the varieties of mathemat ical experience - the degree to which different )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(mathematical subjects have different and distinctive flavors, often attractive to )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(some mathematicians and repellant to others. The particular flavor of the subject of )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(minimal surfaces seems to lie in a combination of the concreteness of the objects )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(being studied, their origin and relation to the physical world, and the way they lie at )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(the intersection of so many different parts of mathematics. In the past fifteen years )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(a new component has been added: the availability of computer graphics to provide )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(illustrations that are both mathematically instructive and esthetically pleas ing. )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(During the course of the twentieth century, two major thrusts have played a )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(seminal role in the evolution of minimal surface theory. The first is the work on the )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(Plateau Problem, whose initial phase culminated in the solution for which Jesse )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(Douglas was awarded one of the first two Fields Medals in 1936. \(The other Fields )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(Medal that year went to Lars V. Ahlfors for his contributions to complex analysis, )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(including his important new insights in Nevanlinna Theory.\) The second was the )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(innovative approach to partial differential equations by Serge Bernstein, which led )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(to the celebrated Bernstein's Theorem, stating that the only solution to the minimal )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(surface equation over the whole plane is the trivial solution: a linear function.)] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(An Introduction to Complex Analysis and Geometry)] TJ ET
BT 357.149 167.582 Td /F1 14.2 Tf [( John P. D'Angelo 2010 An )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(Introduction to Complex Analysis and Geometry provides the reader with a deep )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(appreciation of complex analysis and how this subject fits into mathematics. The )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(book developed from courses given in the Campus Honors Program at the )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(University of Illinois Urbana-Champaign. These courses aimed to share with )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(students the way many mathematics and physics problems magically simplify )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(when viewed from the perspective of complex analysis. The book begins at an )] TJ ET
endstream
endobj
17 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 595.280 841.890]
/Parent 3 0 R
/Contents 18 0 R
>>
endobj
18 0 obj
<<
/Length 5481 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 793.955 Td /F1 14.2 Tf [(elementary level but also contains advanced material. The first four chapters )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(provide an introduction to complex analysis with many elementary and unusual )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(applications. Chapters 5 through 7 develop the Cauchy theory and include some )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(striking applications to calculus. Chapter 8 glimpses several appealing topics, )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(simultaneously unifying the book and opening the door to further study. The 280 )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(exercises range from simple computations to difficult problems. Their variety )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(makes the book especially attractive. A reader of the first four chapters will be able )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(to apply complex numbers in many elementary contexts. A reader of the full book )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(will know basic one complex variable theory and will have seen it integrated into )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(mathematics as a whole. Research mathematicians will discover several novel )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(perspectives.)] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(Complex Analysis)] TJ ET
BT 147.246 602.563 Td /F1 14.2 Tf [( Eberhard Freitag 2006-01-17 All needed notions are developed )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(within the book: with the exception of fundamentals which are presented in )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(introductory lectures, no other knowledge is assumed Provides a more in-depth )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(introduction to the subject than other existing books in this area Over 400 )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(exercises including hints for solutions are included)] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(Dirichlet's Problem)] TJ ET
BT 152.333 515.567 Td /F1 14.2 Tf [( George Emil Raynor 1923 )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(Complex Analysis)] TJ ET
BT 147.246 498.168 Td /F1 14.2 Tf [( Joseph Bak 2010-08-02 This unusual and lively textbook offers )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(a clear and intuitive approach to the classical and beautiful theory of complex )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(variables. With very little dependence on advanced concepts from several-variable )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(calculus and topology, the text focuses on the authentic complex-variable ideas )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(and techniques. Accessible to students at their early stages of mathematical study, )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(this full first year course in complex analysis offers new and interesting motivations )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(for classical results and introduces related topics stressing motivation and )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(technique. Numerous illustrations, examples, and now 300 exercises, enrich the )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(text. Students who master this textbook will emerge with an excellent grounding in )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(complex analysis, and a solid understanding of its wide applicability.)] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(Complex Analysis in one Variable)] TJ ET
BT 246.255 324.175 Td /F1 14.2 Tf [( NARASIMHAN 2012-12-06 This book is based )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(on a first-year graduate course I gave three times at the University of Chicago. As )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(it was addressed to graduate students who intended to specialize in mathematics, )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(I tried to put the classical theory of functions of a complex variable in context, )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(presenting proofs and points of view which relate the subject to other branches of )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(mathematics. Complex analysis in one variable is ideally suited to this attempt. Of )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(course, the branches of mathema tics one chooses, and the connections one )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(makes, must depend on personal taste and knowledge. My own leaning towards )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(several complex variables will be apparent, especially in the notes at the end of the )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(different chapters. The first three chapters deal largely with classical material )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(which is avai lable in the many books on the subject. I have tried to present this )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(material as efficiently as I could, and, even here, to show the relationship with )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(other branches of mathematics. Chapter 4 contains a proof of Picard's theorem; )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(the method of proof I have chosen has far-reaching generalizations in several )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(complex variables and in differential geometry. The next two chapters deal with the )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(Runge approximation theorem and its many applications. The presentation here )] TJ ET
endstream
endobj
19 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 595.280 841.890]
/Parent 3 0 R
/Contents 20 0 R
>>
endobj
20 0 obj
<<
/Length 5594 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 793.955 Td /F1 14.2 Tf [(has been strongly influenced by work on several complex variables.)] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(Complex Analysis)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 774.204 m 147.246 774.204 l S
BT 147.246 776.556 Td /F1 14.2 Tf [( Lars Valerian Ahlfors \(Mathématicien\) 1979 A standard source )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(of information of functions of one complex variable, this text has retained its wide )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(popularity in this field by being consistently rigorous without becoming needlessly )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(concerned with advanced or overspecialized material. Difficult points have been )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(clarified, the book has been reviewed for accuracy, and notations and terminology )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(have been modernized. Chapter 2, Complex Functions, features a brief section on )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(the change of length and area under conformal mapping, and much of Chapter 8, )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(Global-Analytic Functions, has been rewritten in order to introduce readers to the )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(terminology of germs and sheaves while still emphasizing that classical concepts )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(are the backbone of the theory. Chapter 4, Complex Integration, now includes a )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(new and simpler proof of the general form of Cauchy's theorem. There is a short )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(section on the Riemann zeta function, showing the use of residues in a more )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(exciting situation than in the computation of definite integrals.)] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(Linear and Complex Analysis for Applications)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 548.014 m 319.913 548.014 l S
BT 319.913 550.365 Td /F1 14.2 Tf [( John P. D'Angelo 2017-08-02 Linear )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(and Complex Analysis for Applications aims to unify various parts of mathematical )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(analysis in an engaging manner and to provide a diverse and unusual collection of )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(applications, both to other fields of mathematics and to physics and engineering. )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(The book evolved from several of the author’s teaching experiences, his research )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(in complex analysis in several variables, and many conversations with friends and )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(colleagues. It has three primary goals: to develop enough linear analysis and )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(complex variable theory to prepare students in engineering or applied mathematics )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(for advanced work, to unify many distinct and seemingly isolated topics, to show )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(mathematics as both interesting and useful, especially via the juxtaposition of )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(examples and theorems. The book realizes these goals by beginning with reviews )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(of Linear Algebra, Complex Numbers, and topics from Calculus III. As the topics )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(are being reviewed, new material is inserted to help the student develop skill in )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(both computation and theory. The material on linear algebra includes infinite-)] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(dimensional examples arising from elementary calculus and differential equations. )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(Line and surface integrals are computed both in the language of classical vector )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(analysis and by using differential forms. Connections among the topics and )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(applications appear throughout the book. The text weaves abstract mathematics, )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(routine computational problems, and applications into a coherent whole, whose )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(unifying theme is linear systems. It includes many unusual examples and contains )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(more than 450 exercises.)] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(Complex Analysis)] TJ ET
BT 147.246 184.981 Td /F1 14.2 Tf [( Theodore W. Gamelin 2013-11-01 An introduction to complex )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(analysis for students with some knowledge of complex numbers from high school. )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(It contains sixteen chapters, the first eleven of which are aimed at an upper )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(division undergraduate audience. The remaining five chapters are designed to )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(complete the coverage of all background necessary for passing PhD qualifying )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(exams in complex analysis. Topics studied include Julia sets and the Mandelbrot )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(set, Dirichlet series and the prime number theorem, and the uniformization )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(theorem for Riemann surfaces, with emphasis placed on the three geometries: )] TJ ET
endstream
endobj
21 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 595.280 841.890]
/Parent 3 0 R
/Contents 22 0 R
>>
endobj
22 0 obj
<<
/Length 5324 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 793.955 Td /F1 14.2 Tf [(spherical, euclidean, and hyperbolic. Throughout, exercises range from the very )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(simple to the challenging. The book is based on lectures given by the author at )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(several universities, including UCLA, Brown University, La Plata, Buenos Aires, )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(and the Universidad Autonomo de Valencia, Spain.)] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(Contributions to Analysis)] TJ ET
BT 190.823 724.358 Td /F1 14.2 Tf [( Lars V. Ahlfors 2014-05-10 Contributions to Analysis: A )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(Collection of Papers Dedicated to Lipman Bers is a compendium of papers )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(provided by Bers, friends, students, colleagues, and professors. These papers )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(deal with Teichmuller spaces, Kleinian groups, theta functions, algebraic geometry. )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(Other papers discuss quasiconformal mappings, function theory, differential )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(equations, and differential topology. One paper discusses the results of the rigidity )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(theorem of Mostow and its generalization by Marden in relation to geometric )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(properties of Kleinian groups of the first kind. These results, obtained by planar )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(methods, are presented in terms of the hyperbolic 3-space language, which is a )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(natural pedestal in approaching the action of the Kleinian groups. Another paper )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(reviews Riemann's vanishing theorem which solves the Jacobi inversion problem, )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(by relating the vanishing properties of the theta function \(particularly at half )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(periods\) to properties of certain linear series on the Riemann surface. One paper )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(examines the problem of obtaining relations among the periods of the differentials )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(of first kind on a compact Riemann surface. An application of a computer program )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(involves supersonic transport. The program is based on the hodograph )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(transformation and a method of complex characteristics to calculate profiles that )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(are shock-less at a specified angle of attack, or at a specified subsonic free-stream )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(Mach number. The collection can prove useful for engineers, statisticians, )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(students, and professors in advance mathematics or courses related to )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(aeronautics.)] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(Function Theory of One Complex Variable)] TJ ET
BT 300.120 358.974 Td /F1 14.2 Tf [( Robert Everist Greene 2006 Complex )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(analysis is one of the most central subjects in mathematics. It is compelling and )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(rich in its own right, but it is also remarkably useful in a wide variety of other )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(mathematical subjects, both pure and applied. This book is different from others in )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(that it treats complex variables as a direct development from multivariable real )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(calculus. As each new idea is introduced, it is related to the corresponding idea )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(from real analysis and calculus. The text is rich with examples and exercises that )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(illustrate this point. The authors have systematically separated the analysis from )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(the topology, as can be seen in their proof of the Cauchy theorem. The book )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(concludes with several chapters on special topics, including full treatments of )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(special functions, the prime number theorem, and the Bergman kernel. The )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(authors also treat $H^p$ spaces and Painleve's theorem on smoothness to the )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(boundary for conformal maps. This book is a text for a first-year graduate course in )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(complex analysis. It is an engaging and modern introduction to the subject, )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(reflecting the authors' expertise both as mathematicians and as expositors.)] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(Complex Analysis)] TJ ET
BT 147.246 97.985 Td /F1 14.2 Tf [( Donald E. Marshall 2019-03-07 This user-friendly textbook )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(follows Weierstrass' approach to offer a self-contained introduction to complex )] TJ ET
endstream
endobj
23 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 595.280 841.890]
/Parent 3 0 R
/Contents 24 0 R
>>
endobj
24 0 obj
<<
/Length 5594 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 793.955 Td /F1 14.2 Tf [(analysis.)] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(Fascinating Mathematical People)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 774.204 m 243.890 774.204 l S
BT 243.890 776.556 Td /F1 14.2 Tf [( Donald J. Albers 2011-09-06 Top )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(mathematicians talk about their work and lives Fascinating Mathematical People is )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(a collection of informal interviews and memoirs of sixteen prominent members of )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(the mathematical community of the twentieth century, many still active. The candid )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(portraits collected here demonstrate that while these men and women vary widely )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(in terms of their backgrounds, life stories, and worldviews, they all share a deep )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(and abiding sense of wonder about mathematics. Featured here—in their own )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(words—are major research mathematicians whose cutting-edge discoveries have )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(advanced the frontiers of the field, such as Lars Ahlfors, Mary Cartwright, Dusa )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(McDuff, and Atle Selberg. Others are leading mathematicians who have also been )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(highly influential as teachers and mentors, like Tom Apostol and Jean Taylor. Fern )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(Hunt describes what it was like to be among the first black women to earn a PhD in )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(mathematics. Harold Bacon made trips to Alcatraz to help a prisoner learn )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(calculus. Thomas Banchoff, who first became interested in the fourth dimension )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(while reading a Captain Marvel comic, relates his fascinating friendship with )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(Salvador Dalí and their shared passion for art, mathematics, and the profound )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(connection between the two. Other mathematical people found here are Leon )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(Bankoff, who was also a Beverly Hills dentist; Arthur Benjamin, a part-time )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(professional magician; and Joseph Gallian, a legendary mentor of future )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(mathematicians, but also a world-renowned expert on the Beatles. This beautifully )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(illustrated collection includes many photographs never before published, concise )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(introductions by the editors to each person, and a foreword by Philip J. Davis.)] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(COMPLEX ANALYSIS)] TJ ET
BT 177.356 393.772 Td /F1 14.2 Tf [( Lars V. Ahlfors 1966 )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(Complex Analysis)] TJ ET
BT 147.246 376.373 Td /F1 14.2 Tf [( Lars Valerian Ahlfors 1966 )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(Theory of Functions of a Complex Variable)] TJ ET
BT 304.082 358.974 Td /F1 14.2 Tf [( C. Caratheodory 2001 This book is a )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(translation by F. Steinhardt of the last of Caratheodory's celebrated text books, )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(Funktiontheorie, Volume 1.)] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(Real Analysis)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 304.425 m 120.328 304.425 l S
BT 34.016 289.377 Td /F1 14.2 Tf [(Functions of One Complex Variable)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 287.025 m 258.938 287.025 l S
BT 258.938 289.377 Td /F1 14.2 Tf [( J. B. Conway 1973-10-16 )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(Complex Analysis)] TJ ET
0.285 w 0 J [ ] 0 d
34.016 269.626 m 147.246 269.626 l S
BT 147.246 271.977 Td /F1 14.2 Tf [( John M. Howie 2003 Complex analysis can be a difficult subject )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(and many introductory texts are just too ambitious for today’s students. This book )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(takes a lower starting point than is traditional and concentrates on explaining the )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(key ideas through worked examples and informal explanations, rather than through )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [("dry" theory.)] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(Complex Analysis with Applications)] TJ ET
BT 257.327 184.981 Td /F1 14.2 Tf [( Nakhlé H. Asmar 2018-10-12 This textbook is )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(intended for a one semester course in complex analysis for upper level )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(undergraduates in mathematics. Applications, primary motivations for this text, are )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(presented hand-in-hand with theory enabling this text to serve well in courses for )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(students in engineering or applied sciences. The overall aim in designing this text )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(is to accommodate students of different mathematical backgrounds and to achieve )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(a balance between presentations of rigorous mathematical proofs and )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(applications. The text is adapted to enable maximum flexibility to instructors and to )] TJ ET
endstream
endobj
25 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 595.280 841.890]
/Parent 3 0 R
/Contents 26 0 R
>>
endobj
26 0 obj
<<
/Length 5448 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 793.955 Td /F1 14.2 Tf [(students who may also choose to progress through the material outside of )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(coursework. Detailed examples may be covered in one course, giving the )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(instructor the option to choose those that are best suited for discussion. Examples )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(showcase a variety of problems with completely worked out solutions, assisting )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(students in working through the exercises. The numerous exercises vary in )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(difficulty from simple applications of formulas to more advanced project-type )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(problems. Detailed hints accompany the more challenging problems. Multi-part )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(exercises may be assigned to individual students, to groups as projects, or serve )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(as further illustrations for the instructor. Widely used graphics clarify both concrete )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(and abstract concepts, helping students visualize the proofs of many results. )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(Freely accessible solutions to every-other-odd exercise are posted to the book’s )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(Springer website. Additional solutions for instructors’ use may be obtained by )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(contacting the authors directly.)] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(Lars Ahlfors -- At the Summit of Mathematics)] TJ ET
BT 317.519 567.765 Td /F1 14.2 Tf [( Olli Lehto 2015-06-26 This book tells )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(the story of the Finnish-American mathematician Lars Ahlfors \(1907-1996\). He was )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(educated at the University of Helsinki as a student of Ernst Lindelöf and Rolf )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(Nevanlinna and later became a professor there. He left Finland permanently in )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(1944 and was professor and emeritus at Harvard University for more than fifty )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(years. Already at the age of twenty-one Ahlfors became a well-known )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(mathematician having solved Denjoy's conjecture, and in 1936 he established his )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(world renown when he was awarded the Fields Medal, the "Nobel Prize in )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(mathematics". In this book the description of his mathematics avoids technical )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(details and concentrates on his contributions to the general development of )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(complex analysis. Besides mathematics there is also a lot to tell about Ahlfors. )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(World War II marked his life, and he was a colorful personality, with many )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(interesting stories about him. Olli Lehto, the author of the book, first met Lars )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(Ahlfors and his family as a young doctor at Harvard in 1950. Numerous meetings )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(after that in various parts of the world led to a close friendship between them.)] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(Real Analysis: A Comprehensive Course in Analysis, Part 1)] TJ ET
BT 409.389 306.776 Td /F1 14.2 Tf [( Barry Simon 2015-11-)] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(02 A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(a five-volume set that can serve as a graduate-level analysis textbook with a lot of )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(additional bonus information, including hundreds of problems and numerous notes )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(that extend the text and provide important historical background. Depth and )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(breadth of exposition make this set a valuable reference source for almost all )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(areas of classical analysis. Part 1 is devoted to real analysis. From one point of )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(view, it presents the infinitesimal calculus of the twentieth century with the ultimate )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(integral calculus \(measure theory\) and the ultimate differential calculus \(distribution )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(theory\). From another, it shows the triumph of abstract spaces: topological spaces, )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(Banach and Hilbert spaces, measure spaces, Riesz spaces, Polish spaces, locally )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(convex spaces, Fréchet spaces, Schwartz space, and spaces. Finally it is the )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(study of big techniques, including the Fourier series and transform, dual spaces, )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(the Baire category, fixed point theorems, probability ideas, and Hausdorff )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(dimension. Applications include the constructions of nowhere differentiable )] TJ ET
endstream
endobj
27 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 595.280 841.890]
/Parent 3 0 R
/Contents 28 0 R
>>
endobj
28 0 obj
<<
/Length 5433 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 793.955 Td /F1 14.2 Tf [(functions, Brownian motion, space-filling curves, solutions of the moment problem, )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(Haar measure, and equilibrium measures in potential theory.)] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(Complex Analysis for Mathematics and Engineering)] TJ ET
BT 360.298 759.156 Td /F1 14.2 Tf [( John H. Mathews 1996 This )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(text provides a balance between pure \(theoretical\) and applied aspects of complex )] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(analysis. The many applications of complex analysis to science and engineering )] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(are described, and this third edition contains a historical introduction depicting the )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(origins of complex numbers.)] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(Lectures on Quasiconformal Mappings)] TJ ET
BT 277.947 672.160 Td /F1 14.2 Tf [( Lars Valerian Ahlfors 2006-07-14 Lars )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(Ahlfors's Lectures on Quasiconformal Mappings, based on a course he gave at )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(Harvard University in the spring term of 1964, was first published in 1966 and was )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(soon recognized as the classic it was shortly destined to become. These lectures )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(develop the theory of quasiconformal mappings from scratch, give a self-contained )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(treatment of the Beltrami equation, and cover the basic properties of Teichmuller )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(spaces, including the Bers embedding and the Teichmuller curve. It is remarkable )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(how Ahlfors goes straight to the heart of the matter, presenting major results with a )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(minimum set of prerequisites. Many graduate students and other mathematicians )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(have learned the foundations of the theories of quasiconformal mappings and )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(Teichmuller spaces from these lecture notes. This edition includes three new )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(chapters. The first, written by Earle and Kra, describes further developments in the )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(theory of Teichmuller spaces and provides many references to the vast literature )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(on Teichmuller spaces and quasiconformal mappings. The second, by Shishikura, )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(describes how quasiconformal mappings have revitalized the subject of complex )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(dynamics. The third, by Hubbard, illustrates the role of these mappings in )] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(Thurston's theory of hyperbolic structures on 3-manifolds. Together, these three )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(new chapters exhibit the continuing vitality and importance of the theory of )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(quasiconformal mappings.)] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(Conformal Invariants)] TJ ET
BT 165.472 341.574 Td /F1 14.2 Tf [( Lars Valerian Ahlfors 2010-11-17 Most conformal invariants )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(can be described in terms of extremal properties. Conformal invariants and )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(extremal problems are therefore intimately linked and form together the central )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(theme of this classic book which is primarily intended for students with )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(approximately a year's background in complex variable theory. The book )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(emphasizes the geometric approach as well as classical and semi-classical results )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(which Lars Ahlfors felt every student of complex analysis should know before )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(embarking on independent research. At the time of the book's original appearance, )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(much of this material had never appeared in book form, particularly the discussion )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(of the theory of extremal length. Schiffer's variational method also receives special )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(attention, and a proof of $\\vert a_4\\vert \\leq 4$ is included which was new at the )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(time of publication. The last two chapters give an introduction to Riemann )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(surfaces, with topological and analytical background supplied to support a proof of )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(the uniformization theorem. Included in this new reprint is a Foreword by Peter )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(Duren, F. W. Gehring, and Brad Osgood, as well as an extensive errata. ... )] TJ ET
BT 34.016 80.586 Td /F1 14.2 Tf [(encompasses a wealth of material in a mere one hundred and fifty-one pages. Its )] TJ ET
BT 34.016 63.186 Td /F1 14.2 Tf [(purpose is to present an exposition of selected topics in the geometric theory of )] TJ ET
endstream
endobj
29 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 595.280 841.890]
/Parent 3 0 R
/Contents 30 0 R
>>
endobj
30 0 obj
<<
/Length 5104 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 34.016 793.955 Td /F1 14.2 Tf [(functions of one complex variable, which in the author's opinion should be known )] TJ ET
BT 34.016 776.556 Td /F1 14.2 Tf [(by all prospective workers in complex analysis. From a methodological point of )] TJ ET
BT 34.016 759.156 Td /F1 14.2 Tf [(view the approach of the book is dominated by the notion of conformal invariant )] TJ ET
BT 34.016 741.757 Td /F1 14.2 Tf [(and concomitantly by extremal considerations. ... It is a splendid offering. --)] TJ ET
BT 34.016 724.358 Td /F1 14.2 Tf [(Reviewed for Math Reviews by M. H. Heins in 1975)] TJ ET
BT 34.016 706.959 Td /F1 14.2 Tf [(Advanced Methods for the Solution of Differential Equations)] TJ ET
BT 411.042 706.959 Td /F1 14.2 Tf [( Marvin E. Goldstein )] TJ ET
BT 34.016 689.559 Td /F1 14.2 Tf [(1973 )] TJ ET
BT 34.016 672.160 Td /F1 14.2 Tf [(Real Solutions to Equations from Geometry)] TJ ET
BT 308.043 672.160 Td /F1 14.2 Tf [( Frank Sottile 2011-08-31 )] TJ ET
BT 34.016 654.761 Td /F1 14.2 Tf [(Understanding, finding, or even deciding on the existence of real solutions to a )] TJ ET
BT 34.016 637.362 Td /F1 14.2 Tf [(system of equations is a difficult problem with many applications outside of )] TJ ET
BT 34.016 619.962 Td /F1 14.2 Tf [(mathematics. While it is hopeless to expect much in general, we know a surprising )] TJ ET
BT 34.016 602.563 Td /F1 14.2 Tf [(amount about these questions for systems which possess additional structure )] TJ ET
BT 34.016 585.164 Td /F1 14.2 Tf [(often coming from geometry. This book focuses on equations from toric varieties )] TJ ET
BT 34.016 567.765 Td /F1 14.2 Tf [(and Grassmannians. Not only is much known about these, but such equations are )] TJ ET
BT 34.016 550.365 Td /F1 14.2 Tf [(common in applications. There are three main themes: upper bounds on the )] TJ ET
BT 34.016 532.966 Td /F1 14.2 Tf [(number of real solutions, lower bounds on the number of real solutions, and )] TJ ET
BT 34.016 515.567 Td /F1 14.2 Tf [(geometric problems that can have all solutions be real. The book begins with an )] TJ ET
BT 34.016 498.168 Td /F1 14.2 Tf [(overview, giving background on real solutions to univariate polynomials and the )] TJ ET
BT 34.016 480.768 Td /F1 14.2 Tf [(geometry of sparse polynomial systems. The first half of the book concludes with )] TJ ET
BT 34.016 463.369 Td /F1 14.2 Tf [(fewnomial upper bounds and with lower bounds to sparse polynomial systems. )] TJ ET
BT 34.016 445.970 Td /F1 14.2 Tf [(The second half of the book begins by sampling some geometric problems for )] TJ ET
BT 34.016 428.571 Td /F1 14.2 Tf [(which all solutions can be real, before devoting the last five chapters to the Shapiro )] TJ ET
BT 34.016 411.171 Td /F1 14.2 Tf [(Conjecture, in which the relevant polynomial systems have only real solutions.)] TJ ET
BT 34.016 393.772 Td /F1 14.2 Tf [(A Course in Complex Analysis)] TJ ET
BT 225.650 393.772 Td /F1 14.2 Tf [( Saeed Zakeri 2021-10-12 "This textbook is )] TJ ET
BT 34.016 376.373 Td /F1 14.2 Tf [(intended for a year-long graduate course on complex analysis, a branch of )] TJ ET
BT 34.016 358.974 Td /F1 14.2 Tf [(mathematical analysis that has broad applications, particularly in physics, )] TJ ET
BT 34.016 341.574 Td /F1 14.2 Tf [(engineering, and applied mathematics. Based on nearly twenty years of classroom )] TJ ET
BT 34.016 324.175 Td /F1 14.2 Tf [(lectures, the book is accessible enough for independent study, while the rigorous )] TJ ET
BT 34.016 306.776 Td /F1 14.2 Tf [(approach will appeal to more experienced readers and scholars, propelling further )] TJ ET
BT 34.016 289.377 Td /F1 14.2 Tf [(research in this field. While other graduate-level complex analysis textbooks do )] TJ ET
BT 34.016 271.977 Td /F1 14.2 Tf [(exist, Zakeri takes a distinctive approach by highlighting the geometric properties )] TJ ET
BT 34.016 254.578 Td /F1 14.2 Tf [(and topological underpinnings of this area. Zakeri includes more than three )] TJ ET
BT 34.016 237.179 Td /F1 14.2 Tf [(hundred and fifty problems, with problem sets at the end of each chapter, along )] TJ ET
BT 34.016 219.780 Td /F1 14.2 Tf [(with additional solved examples. Background knowledge of undergraduate )] TJ ET
BT 34.016 202.380 Td /F1 14.2 Tf [(analysis and topology is needed, but the thoughtful examples are accessible to )] TJ ET
BT 34.016 184.981 Td /F1 14.2 Tf [(beginning graduate students and advanced undergraduates. At the same time, the )] TJ ET
BT 34.016 167.582 Td /F1 14.2 Tf [(book has sufficient depth for advanced readers to enhance their own research. )] TJ ET
BT 34.016 150.183 Td /F1 14.2 Tf [(The textbook is well-written, clearly illustrated, and peppered with historical )] TJ ET
BT 34.016 132.783 Td /F1 14.2 Tf [(information, making it approachable without sacrificing rigor. It is poised to be a )] TJ ET
BT 34.016 115.384 Td /F1 14.2 Tf [(valuable textbook for graduate students, filling a needed gap by way of its level )] TJ ET
BT 34.016 97.985 Td /F1 14.2 Tf [(and unique approach"--)] TJ ET
endstream
endobj
31 0 obj
<< /Type /Page
/MediaBox [0.000 0.000 595.280 841.890]
/Parent 3 0 R
/Annots [ 33 0 R ]
/Contents 32 0 R
>>
endobj
32 0 obj
<<
/Length 344 >>
stream
0.000 0.000 0.000 rg
0.000 0.000 0.000 RG
0.285 w 0 J [ ] 0 d
BT 36.266 797.810 Td /F1 8.0 Tf [(complex-analysis-solutions-lars-ahlfors)] TJ ET
BT 318.006 798.017 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 382.918 797.810 Td /F1 8.0 Tf [(equityoffice.com)] TJ ET
BT 440.718 798.017 Td /F1 8.0 Tf [( on September 29, 2022 by guest)] TJ ET
endstream
endobj
33 0 obj
<< /Type /Annot
/Subtype /Link
/A 34 0 R
/Border [0 0 0]
/H /I
/Rect [ 382.9183 797.0699 440.7183 805.2099 ]
>>
endobj
34 0 obj
<< /Type /Action
/S /URI
/URI (https://equityoffice.com)
>>
endobj
xref
0 35
0000000000 65535 f
0000000009 00000 n
0000000074 00000 n
0000000120 00000 n
0000000358 00000 n
0000000387 00000 n
0000000774 00000 n
0000000877 00000 n
0000005460 00000 n
0000005567 00000 n
0000005671 00000 n
0000011179 00000 n
0000011284 00000 n
0000016753 00000 n
0000016858 00000 n
0000022507 00000 n
0000022612 00000 n
0000028181 00000 n
0000028286 00000 n
0000033820 00000 n
0000033925 00000 n
0000039572 00000 n
0000039677 00000 n
0000045054 00000 n
0000045159 00000 n
0000050806 00000 n
0000050911 00000 n
0000056412 00000 n
0000056517 00000 n
0000062003 00000 n
0000062108 00000 n
0000067265 00000 n
0000067389 00000 n
0000067785 00000 n
0000067913 00000 n
trailer
<<
/Size 35
/Root 1 0 R
/Info 5 0 R
>>
startxref
67989
%%EOF