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BT 34.016 360.812 Td /F1 15.0 Tf [(Local Theory Of Banach Spaces Nyu Courant)] TJ ET
BT 34.016 332.273 Td /F1 7.5 Tf [(As recognized, adventure as without difficulty as experience more or less lesson, amusement, as well as pact can be gotten by just checking out a book )] TJ ET
BT 34.016 323.116 Td /F1 7.5 Tf [(Local Theory Of Banach Spaces Nyu Courant)] TJ ET
BT 186.168 323.116 Td /F1 7.5 Tf [( also it is not directly done, you could agree to even more all but this life, on the subject of the world. )] TJ ET
BT 34.016 304.958 Td /F1 7.5 Tf [(We come up with the money for you this proper as without difficulty as simple way to get those all. We meet the expense of Local Theory Of Banach Spaces )] TJ ET
BT 34.016 295.801 Td /F1 7.5 Tf [(Nyu Courant and numerous books collections from fictions to scientific research in any way. along with them is this Local Theory Of Banach Spaces Nyu )] TJ ET
BT 34.016 286.643 Td /F1 7.5 Tf [(Courant that can be your partner.)] TJ ET
BT 34.016 253.486 Td /F1 7.5 Tf [(Geometric Nonlinear Functional Analysis)] TJ ET
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BT 169.473 253.486 Td /F1 7.5 Tf [( Yoav Benyamini 1998 This book presents a systematic and unified study of geometric nonlinear functional analysis. )] TJ ET
BT 34.016 244.328 Td /F1 7.5 Tf [(This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close connections to geometric )] TJ ET
BT 34.016 235.171 Td /F1 7.5 Tf [(measure theory, probability, classical analysis, combinatorics, and Banach space theory. The main theme of the book is the study of uniformly continuous and )] TJ ET
BT 34.016 226.013 Td /F1 7.5 Tf [(Lipschitz functions between Banach spaces \(e.g., differentiability, stability, approximation, existence of extensions, fixed points, etc.\). This study leads )] TJ ET
BT 34.016 216.856 Td /F1 7.5 Tf [(naturally also to the classification of Banach spaces and of their important subsets \(mainly spheres\) in the uniform and Lipschitz categories. Many recent )] TJ ET
BT 34.016 207.698 Td /F1 7.5 Tf [(rather deep theorems and delicate examples are included with complete and detailed proofs. Challenging open problems are described and explained, and )] TJ ET
BT 34.016 198.541 Td /F1 7.5 Tf [(promising new research directions are indicated.)] TJ ET
BT 34.016 189.383 Td /F1 7.5 Tf [(Functional Analysis)] TJ ET
BT 98.621 189.383 Td /F1 7.5 Tf [( Theo Bühler 2018-08-08 It begins in Chapter 1 with an introduction to the necessary foundations, including the Arzelà–Ascoli theorem, )] TJ ET
BT 34.016 180.226 Td /F1 7.5 Tf [(elementary Hilbert space theory, and the Baire Category Theorem. Chapter 2 develops the three fundamental principles of functional analysis \(uniform )] TJ ET
BT 34.016 171.068 Td /F1 7.5 Tf [(boundedness, open mapping theorem, Hahn–Banach theorem\) and discusses reflexive spaces and the James space. Chapter 3 introduces the weak and )] TJ ET
BT 34.016 161.911 Td /F1 7.5 Tf [(weak topologies and includes the theorems of Banach–Alaoglu, Banach–Dieudonné, Eberlein–Šmulyan, Kre&ibreve;n–Milman, as well as an introduction to )] TJ ET
BT 34.016 152.753 Td /F1 7.5 Tf [(topological vector spaces and applications to ergodic theory. Chapter 4 is devoted to Fredholm theory. It includes an introduction to the dual operator and to )] TJ ET
BT 34.016 143.596 Td /F1 7.5 Tf [(compact operators, and it establishes the closed image theorem. Chapter 5 deals with the spectral theory of bounded linear operators. It introduces complex )] TJ ET
BT 34.016 134.438 Td /F1 7.5 Tf [(Banach and Hilbert spaces, the continuous functional calculus for self-adjoint and normal operators, the Gelfand spectrum, spectral measures, cyclic vectors, )] TJ ET
BT 34.016 125.281 Td /F1 7.5 Tf [(and the spectral theorem. Chapter 6 introduces unbounded operators and their duals. It establishes the closed image theorem in this setting and extends the )] TJ ET
BT 34.016 116.123 Td /F1 7.5 Tf [(functional calculus and spectral measure to unbounded self-adjoint operators on Hilbert spaces. Chapter 7 gives an introduction to strongly continuous )] TJ ET
BT 34.016 106.966 Td /F1 7.5 Tf [(semigroups and their infinitesimal generators. It includes foundational results about the dual semigroup and analytic semigroups, an exposition of measurable )] TJ ET
BT 34.016 97.808 Td /F1 7.5 Tf [(functions with values in a Banach space, and a discussion of solutions to the inhomogeneous equation and their regularity properties. The appendix )] TJ ET
BT 34.016 88.651 Td /F1 7.5 Tf [(establishes the equivalence of the Lemma of Zorn and the Axiom of Choice, and it contains a proof of Tychonoff's theorem. With 10 to 20 elaborate exercises )] TJ ET
BT 34.016 79.493 Td /F1 7.5 Tf [(at the end of each chapter, this book can be used as a text for a one-or-two-semester course on functional analysis for beginning graduate students. )] TJ ET
BT 34.016 70.336 Td /F1 7.5 Tf [(Prerequisites are first-year analysis and linear algebra, as well as some foundational material from the second-year courses on point set topology, complex )] TJ ET
BT 34.016 61.178 Td /F1 7.5 Tf [(analysis in one variable, and measure and integration.)] TJ ET
BT 34.016 52.021 Td /F1 7.5 Tf [(Banach Spaces for Analysts)] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(P. Wojtaszczyk 1996-08 This book is intended to be used with graduate courses in Banach space theory.)] TJ ET
BT 34.016 369.031 Td /F1 7.5 Tf [(Computer Mathematics)] TJ ET
BT 111.536 369.031 Td /F1 7.5 Tf [( 1979 )] TJ ET
BT 34.016 359.873 Td /F1 7.5 Tf [(Foundations of Computational Mathematics)] TJ ET
BT 178.661 359.873 Td /F1 7.5 Tf [( DeVore Iserles Suli 2001-05-17 Collection of papers by leading researchers in computational mathematics, )] TJ ET
BT 34.016 350.716 Td /F1 7.5 Tf [(suitable for graduate students and researchers.)] TJ ET
BT 34.016 341.558 Td /F1 7.5 Tf [(Classical Banach Spaces II)] TJ ET
BT 124.886 341.558 Td /F1 7.5 Tf [( J. Lindenstrauss 2013-12-11 )] TJ ET
BT 34.016 332.401 Td /F1 7.5 Tf [(Government Reports Announcements)] TJ ET
BT 159.903 332.401 Td /F1 7.5 Tf [( 1971-10 )] TJ ET
BT 34.016 323.243 Td /F1 7.5 Tf [(Natural Function Algebras)] TJ ET
BT 120.716 323.243 Td /F1 7.5 Tf [( Charles E. Rickart 2012-12-06 The term "function algebra" usually refers to a uniformly closed algebra of complex valued )] TJ ET
BT 34.016 314.086 Td /F1 7.5 Tf [(continuous functions on a compact Hausdorff space. Such Banach alge bras, which are also called "uniform algebras", have been much studied during the )] TJ ET
BT 34.016 304.928 Td /F1 7.5 Tf [(past 15 or 20 years. Since the most important examples of uniform algebras consist of, or are built up from, analytic functions, it is not surprising that most of )] TJ ET
BT 34.016 295.771 Td /F1 7.5 Tf [(the work has been dominated by questions of analyticity in one form or another. In fact, the study of these special algebras and their generalizations accounts )] TJ ET
BT 34.016 286.613 Td /F1 7.5 Tf [(for the bulk of the re search on function algebras. We are concerned here, however, with another facet of the subject based on the observation that very )] TJ ET
BT 34.016 277.456 Td /F1 7.5 Tf [(general algebras of continuous func tions tend to exhibit certain properties that are strongly reminiscent of analyticity. Although there exist a variety of well-)] TJ ET
BT 34.016 268.298 Td /F1 7.5 Tf [(known properties of this kind that could be mentioned, in many ways the most striking is a local maximum modulus principle proved in 1960 by Hugo Rossi )] TJ ET
BT 34.016 259.141 Td /F1 7.5 Tf [([RIl]. This result, one of the deepest and most elegant in the theory of function algebras, is an essential tool in the theory as we have developed it here. It )] TJ ET
BT 34.016 249.983 Td /F1 7.5 Tf [(holds for an arbitrary Banaeh algebra of £unctions defined on the spectrum \(maximal ideal space\) of the algebra. These are the algebras, along with )] TJ ET
BT 34.016 240.826 Td /F1 7.5 Tf [(appropriate generalizations to algebras defined on noncompact spaces, that we call "natural func tion algebras".)] TJ ET
BT 34.016 231.668 Td /F1 7.5 Tf [(Foundations of Chemical Reaction Network Theory)] TJ ET
BT 203.658 231.668 Td /F1 7.5 Tf [( Martin Feinberg 2019-01-31 This book provides an authoritative introduction to the rapidly growing field of )] TJ ET
BT 34.016 222.511 Td /F1 7.5 Tf [(chemical reaction network theory. In particular, the book presents deep and surprising theorems that relate the graphical and algebraic structure of a reaction )] TJ ET
BT 34.016 213.353 Td /F1 7.5 Tf [(network to qualitative properties of the intricate system of nonlinear differential equations that the network induces. Over the course of three main parts, )] TJ ET
BT 34.016 204.196 Td /F1 7.5 Tf [(Feinberg provides a gradual transition from a tutorial on the basics of reaction network theory, to a survey of some of its principal theorems, and, finally, to a )] TJ ET
BT 34.016 195.038 Td /F1 7.5 Tf [(discussion of the theory’s more technical aspects. Written with great clarity, this book will be of value to mathematicians and to mathematically-inclined )] TJ ET
BT 34.016 185.881 Td /F1 7.5 Tf [(biologists, chemists, physicists, and engineers who want to contribute to chemical reaction network theory or make use of its powerful results.)] TJ ET
BT 34.016 176.723 Td /F1 7.5 Tf [(A Journey Through Discrete Mathematics)] TJ ET
BT 171.978 176.723 Td /F1 7.5 Tf [( Martin Loebl 2017-10-11 This collection of high-quality articles in the field of combinatorics, geometry, algebraic )] TJ ET
BT 34.016 167.566 Td /F1 7.5 Tf [(topology and theoretical computer science is a tribute to Ji?í Matoušek, who passed away prematurely in March 2015. It is a collaborative effort by his )] TJ ET
BT 34.016 158.408 Td /F1 7.5 Tf [(colleagues and friends, who have paid particular attention to clarity of exposition – something Jirka would have approved of. The original research articles, )] TJ ET
BT 34.016 149.251 Td /F1 7.5 Tf [(surveys and expository articles, written by leading experts in their respective fields, map Ji?í Matoušek’s numerous areas of mathematical interest.)] TJ ET
BT 34.016 140.093 Td /F1 7.5 Tf [(Index to Scientific & Technical Proceedings)] TJ ET
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BT 177.828 140.093 Td /F1 7.5 Tf [( 1980 Monthly, with annual cumulation. Published conference literature useful both as current awareness and )] TJ ET
BT 34.016 130.936 Td /F1 7.5 Tf [(retrospective tools that allow searching by authors of individual papers as well as by editors. Includes proceedings in all formats, i.e., books, reports, journal )] TJ ET
BT 34.016 121.778 Td /F1 7.5 Tf [(issues, etc. Complete bibliographical information for each conference proceedings appears in section titled Contents of proceedings, with accompanying )] TJ ET
BT 34.016 112.621 Td /F1 7.5 Tf [(category, permuterm subject, sponsor, author/editor, meeting location, and corporate indexes. Contains abbreviations used in organizational and geographical )] TJ ET
BT 34.016 103.463 Td /F1 7.5 Tf [(names.)] TJ ET
BT 34.016 94.306 Td /F1 7.5 Tf [(Topology, Geometry, and Dynamics: V. A. Rokhlin-Memorial)] TJ ET
BT 234.491 94.306 Td /F1 7.5 Tf [( Anatoly M. Vershik 2021-08-30 Vladimir Abramovich Rokhlin \(8/23/1919–12/03/1984\) was one of )] TJ ET
BT 34.016 85.148 Td /F1 7.5 Tf [(the leading Russian mathematicians of the second part of the twentieth century. His main achievements were in algebraic topology, real algebraic geometry, )] TJ ET
BT 34.016 75.991 Td /F1 7.5 Tf [(and ergodic theory. The volume contains the proceedings of the Conference on Topology, Geometry, and Dynamics: V. A. Rokhlin-100, held from August )] TJ ET
BT 34.016 66.833 Td /F1 7.5 Tf [(19–23, 2019, at The Euler International Mathematics Institute and the Steklov Institute of Mathematics, St. Petersburg, Russia. The articles deal with topology )] TJ ET
BT 34.016 57.676 Td /F1 7.5 Tf [(of manifolds, theory of cobordisms, knot theory, geometry of real algebraic manifolds and dynamical systems and related topics. The book also contains )] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(Rokhlin's biography supplemented with copies of actual very interesting documents.)] TJ ET
BT 34.016 369.031 Td /F1 7.5 Tf [(Hypocoercivity)] TJ ET
BT 82.773 369.031 Td /F1 7.5 Tf [( CŽdric Villani 2009-10-08 This memoir attempts at a systematic study of convergence to stationary state for certain classes of degenerate )] TJ ET
BT 34.016 359.873 Td /F1 7.5 Tf [(diffusive equations, taking the general form ${\\frac{\\partial f}{\\partial t}}+ L f =0$. The question is whether and how one can overcome the degeneracy by )] TJ ET
BT 34.016 350.716 Td /F1 7.5 Tf [(exploiting commutators.)] TJ ET
BT 34.016 341.558 Td /F1 7.5 Tf [(An Invitation to Modern Number Theory)] TJ ET
BT 165.318 341.558 Td /F1 7.5 Tf [( Steven J. Miller 2006-03-26 In a manner accessible to beginning undergraduates, An Invitation to Modern Number )] TJ ET
BT 34.016 332.401 Td /F1 7.5 Tf [(Theory introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the )] TJ ET
BT 34.016 323.243 Td /F1 7.5 Tf [(Circle Method, and Random Matrix Theory. Showing how experiments are used to test conjectures and prove theorems, the book allows students to do )] TJ ET
BT 34.016 314.086 Td /F1 7.5 Tf [(original work on such problems, often using little more than calculus \(though there are numerous remarks for those with deeper backgrounds\). It shows )] TJ ET
BT 34.016 304.928 Td /F1 7.5 Tf [(students what number theory theorems are used for and what led to them and suggests problems for further research. Steven Miller and Ramin Takloo-)] TJ ET
BT 34.016 295.771 Td /F1 7.5 Tf [(Bighash introduce the problems and the computational skills required to numerically investigate them, providing background material \(from probability to )] TJ ET
BT 34.016 286.613 Td /F1 7.5 Tf [(statistics to Fourier analysis\) whenever necessary. They guide students through a variety of problems, ranging from basic number theory, cryptography, and )] TJ ET
BT 34.016 277.456 Td /F1 7.5 Tf [(Goldbach's Problem, to the algebraic structures of numbers and continued fractions, showing connections between these subjects and encouraging students )] TJ ET
BT 34.016 268.298 Td /F1 7.5 Tf [(to study them further. In addition, this is the first undergraduate book to explore Random Matrix Theory, which has recently become a powerful tool for )] TJ ET
BT 34.016 259.141 Td /F1 7.5 Tf [(predicting answers in number theory. Providing exercises, references to the background literature, and Web links to previous student research projects, An )] TJ ET
BT 34.016 249.983 Td /F1 7.5 Tf [(Invitation to Modern Number Theory can be used to teach a research seminar or a lecture class.)] TJ ET
BT 34.016 240.826 Td /F1 7.5 Tf [(Inverse Acoustic and Electromagnetic Scattering Theory)] TJ ET
BT 220.758 240.826 Td /F1 7.5 Tf [( David Colton 2013-04-17 It has now been almost ten years since our first book on scattering theory )] TJ ET
BT 34.016 231.668 Td /F1 7.5 Tf [(ap peared [32]. At that time we claimed that "in recent years the development of integral equation methods for the direct scattering problem seems to be )] TJ ET
BT 34.016 222.511 Td /F1 7.5 Tf [(nearing completion, whereas the use of such an approach to study the inverse scattering problem has progressed to an extent that a 'state of the art' survey )] TJ ET
BT 34.016 213.353 Td /F1 7.5 Tf [(appears highly desirable". Since we wrote these words, the inverse scattering problem for acoustic and electromagnetic waves has grown from being a few )] TJ ET
BT 34.016 204.196 Td /F1 7.5 Tf [(theoreti cal considerations with limited numerical implementations to a weH developed mathematical theory with tested numerical algorithms. This maturing of )] TJ ET
BT 34.016 195.038 Td /F1 7.5 Tf [(the field of inverse scattering theory has been based on the realization that such problems are in general not only nonlinear but also improperly posed in the )] TJ ET
BT 34.016 185.881 Td /F1 7.5 Tf [(sense that the solution does not depend continuously on the measured data. This was emphasized in [32] and treated with the ideas and tools available at )] TJ ET
BT 34.016 176.723 Td /F1 7.5 Tf [(that time. Now, almost ten years later, these initial ideas have developed to the extent that a monograph summarizing the mathematical basis of the field )] TJ ET
BT 34.016 167.566 Td /F1 7.5 Tf [(seems appropriate. This book is oUf attempt to write such a monograph. The inverse scattering problem for acoustic and electromagnetic waves can broadly )] TJ ET
BT 34.016 158.408 Td /F1 7.5 Tf [(be divided into two classes, the inverse obstacle problem and the inverse medium problem.)] TJ ET
BT 34.016 149.251 Td /F1 7.5 Tf [(Government Reports Index)] TJ ET
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34.016 148.013 m 124.053 148.013 l S
BT 124.053 149.251 Td /F1 7.5 Tf [( 1971 )] TJ ET
BT 34.016 140.093 Td /F1 7.5 Tf [(Four-Manifold Theory)] TJ ET
BT 105.701 140.093 Td /F1 7.5 Tf [( CAMERON AUTOR GORDON 1984 These are the proceedings of the Summer Research Conference on 4-manifolds held at Durham, )] TJ ET
BT 34.016 130.936 Td /F1 7.5 Tf [(New Hampshire, July 1982, under the auspices of the American Mathematical Society and National Science Foundation. The conference was highlighted by )] TJ ET
BT 34.016 121.778 Td /F1 7.5 Tf [(the breakthroughs of Michael Freedman and S. K. Donaldson and by Frank Quinn's completion at the conference of the proof of the annulus conjecture. \(We )] TJ ET
BT 34.016 112.621 Td /F1 7.5 Tf [(commend the AMS committee, particularly Julius Shaneson, who had the foresight in Spring 1981 to choose the subject, 4-manifolds, in which such )] TJ ET
BT 34.016 103.463 Td /F1 7.5 Tf [(remarkable activity was imminent.\) Freedman and several others spoke on his work; some of their talks are represented by papers in this volume. Donaldson )] TJ ET
BT 34.016 94.306 Td /F1 7.5 Tf [(and Clifford H. Taubes gave surveys of their work on gauge theory and 4-manifolds and their papers are also included herein. There were a variety of other )] TJ ET
BT 34.016 85.148 Td /F1 7.5 Tf [(lectures, including Quinn's surprise, and a couple of problem sessions which led to the problem list. A background of basic differential topology is adequate for )] TJ ET
BT 34.016 75.991 Td /F1 7.5 Tf [(potential readers.)] TJ ET
BT 34.016 66.833 Td /F1 7.5 Tf [(Dissertation Abstracts International)] TJ ET
BT 150.311 66.833 Td /F1 7.5 Tf [( 1970 )] TJ ET
BT 34.016 57.676 Td /F1 7.5 Tf [(Absolutely Summing Operators)] TJ ET
BT 137.801 57.676 Td /F1 7.5 Tf [( Joe Diestel 1995-04-27 This text provides the beginning graduate student with an account of p-summing and related operators.)] TJ ET
BT 34.016 48.518 Td /F1 7.5 Tf [(Inverse Source Problems)] TJ ET
BT 118.211 48.518 Td /F1 7.5 Tf [( Victor Isakov 1990 Inverse problems arise in many areas of mathematical physics, and applications are rapidly expanding to such )] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(areas as geophysics, chemistry, medicine, and engineering. The main theme of this book is uniqueness, stability, and existence of solutions of inverse )] TJ ET
BT 34.016 369.031 Td /F1 7.5 Tf [(problems for partial differential equations. Focusing primarily on the inverse problem of potential theory and closely related questions such as coefficient )] TJ ET
BT 34.016 359.873 Td /F1 7.5 Tf [(identification problems, this book will give readers an understanding of the results of a substantial part of the theory of inverse problems and of some of the )] TJ ET
BT 34.016 350.716 Td /F1 7.5 Tf [(new ideas and methods used.The author provides complete proofs of most general uniqueness theorems for the inverse problem of gravimetry, a detailed )] TJ ET
BT 34.016 341.558 Td /F1 7.5 Tf [(study of regularity properties \(including examples of non-regular domains with regular potentials\), counterexamples to uniqueness and uniqueness theorems, )] TJ ET
BT 34.016 332.401 Td /F1 7.5 Tf [(and a treatment of the theory of non-stationary problems. In addition, the book deals with the orthogonality method, formulates several important unsolved )] TJ ET
BT 34.016 323.243 Td /F1 7.5 Tf [(problems, and suggests certain technical means appropriate for further study; some numerical methods are also outlined. Requiring a background in the )] TJ ET
BT 34.016 314.086 Td /F1 7.5 Tf [(basics of differential equations and function theory, this book is directed at mathematicians specializing in partial differential equations and potential theory, as )] TJ ET
BT 34.016 304.928 Td /F1 7.5 Tf [(well as physicists, geophysicists, and engineers.)] TJ ET
BT 34.016 295.771 Td /F1 7.5 Tf [(Factorization of Linear Operators and Geometry of Banach Spaces)] TJ ET
BT 256.203 295.771 Td /F1 7.5 Tf [( Gilles Pisier 1986 This book surveys the considerable progress made in Banach space )] TJ ET
BT 34.016 286.613 Td /F1 7.5 Tf [(theory as a result of Grothendieck's fundamental paper ""Resume De la Theorie Metrique des Produits Tensoriels Topologiques"". The author examines the )] TJ ET
BT 34.016 277.456 Td /F1 7.5 Tf [(central question of which Banach spaces $X$ and $Y$ have the property that every bounded operator from $X$ to $Y$ factors through a Hilbert space, in )] TJ ET
BT 34.016 268.298 Td /F1 7.5 Tf [(particular when the operators are defined on a Banach lattice, a $C^*$-algebra or the disc algebra and $H^\\infty$. He reviews the six problems posed at the )] TJ ET
BT 34.016 259.141 Td /F1 7.5 Tf [(end of Grothendieck's paper, which have now all been solved \(except perhaps the exact value of Grothendieck's constant\), and includes the various results )] TJ ET
BT 34.016 249.983 Td /F1 7.5 Tf [(which led to their solution. The last chapter contains the author's construction of several Banach spaces such that the injective and projective tensor products )] TJ ET
BT 34.016 240.826 Td /F1 7.5 Tf [(coincide; this gives a negative solution to Grothendieck's sixth problem.Although the book is aimed at mathematicians working in functional analysis, harmonic )] TJ ET
BT 34.016 231.668 Td /F1 7.5 Tf [(analysis and operator algebras, its detailed and self-contained treatment makes the material accessible to nonspecialists with a grounding in basic functional )] TJ ET
BT 34.016 222.511 Td /F1 7.5 Tf [(analysis. In fact, the author is particularly concerned to develop very recent results in the geometry of Banach spaces in a form that emphasizes how they may )] TJ ET
BT 34.016 213.353 Td /F1 7.5 Tf [(be applied in other fields, such as harmonic analysis and $C^*$-algebras.)] TJ ET
BT 34.016 204.196 Td /F1 7.5 Tf [(Hyperbolic Partial Differential Equations and Geometric Optics)] TJ ET
BT 240.753 204.196 Td /F1 7.5 Tf [( Jeffrey Rauch 2012-05-01 This book introduces graduate students and researchers in )] TJ ET
BT 34.016 195.038 Td /F1 7.5 Tf [(mathematics and the sciences to the multifaceted subject of the equations of hyperbolic type, which are used, in particular, to describe propagation of waves )] TJ ET
BT 34.016 185.881 Td /F1 7.5 Tf [(at finite speed. Among the topics carefully presented in the book are nonlinear geometric optics, the asymptotic analysis of short wavelength solutions, and )] TJ ET
BT 34.016 176.723 Td /F1 7.5 Tf [(nonlinear interaction of such waves. Studied in detail are the damping of waves, resonance, dispersive decay, and solutions to the compressible Euler )] TJ ET
BT 34.016 167.566 Td /F1 7.5 Tf [(equations with dense oscillations created by resonant interactions. Many fundamental results are presented for the first time in a textbook format. In addition )] TJ ET
BT 34.016 158.408 Td /F1 7.5 Tf [(to dense oscillations, these include the treatment of precise speed of propagation and the existence and stability questions for the three wave interaction )] TJ ET
BT 34.016 149.251 Td /F1 7.5 Tf [(equations. One of the strengths of this book is its careful motivation of ideas and proofs, showing how they evolve from related, simpler cases. This makes the )] TJ ET
BT 34.016 140.093 Td /F1 7.5 Tf [(book quite useful to both researchers and graduate students interested in hyperbolic partial differential equations. Numerous exercises encourage active )] TJ ET
BT 34.016 130.936 Td /F1 7.5 Tf [(participation of the reader. The author is a professor of mathematics at the University of Michigan. A recognized expert in partial differential equations, he has )] TJ ET
BT 34.016 121.778 Td /F1 7.5 Tf [(made important contributions to the transformation of three areas of hyperbolic partial differential equations: nonlinear microlocal analysis, the control of )] TJ ET
BT 34.016 112.621 Td /F1 7.5 Tf [(waves, and nonlinear geometric optics.)] TJ ET
BT 34.016 103.463 Td /F1 7.5 Tf [(Current Programs)] TJ ET
BT 93.611 103.463 Td /F1 7.5 Tf [( 1975 )] TJ ET
BT 34.016 94.306 Td /F1 7.5 Tf [(Government Reports Announcements & Index)] TJ ET
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BT 187.421 94.306 Td /F1 7.5 Tf [( 1971 )] TJ ET
BT 34.016 85.148 Td /F1 7.5 Tf [(Metric Embeddings)] TJ ET
BT 98.201 85.148 Td /F1 7.5 Tf [( Mikhail I. Ostrovskii 2013-06-26 Embeddings of discrete metric spaces into Banach spaces recently became an important tool in computer )] TJ ET
BT 34.016 75.991 Td /F1 7.5 Tf [(science and topology. The purpose of the book is to present some of the most important techniques and results, mostly on bilipschitz and coarse embeddings. )] TJ ET
BT 34.016 66.833 Td /F1 7.5 Tf [(The topics include: \(1\) Embeddability of locally finite metric spaces into Banach spaces is finitely determined; \(2\) Constructions of embeddings; \(3\) Distortion )] TJ ET
BT 34.016 57.676 Td /F1 7.5 Tf [(in terms of Poincaré inequalities; \(4\) Constructions of families of expanders and of families of graphs with unbounded girth and lower bounds on average )] TJ ET
BT 34.016 48.518 Td /F1 7.5 Tf [(degrees; \(5\) Banach spaces which do not admit coarse embeddings of expanders; \(6\) Structure of metric spaces which are not coarsely embeddable into a )] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(Hilbert space; \(7\) Applications of Markov chains to embeddability problems; \(8\) Metric characterizations of properties of Banach spaces; \(9\) Lipschitz free )] TJ ET
BT 34.016 369.031 Td /F1 7.5 Tf [(spaces. Substantial part of the book is devoted to a detailed presentation of relevant results of Banach space theory and graph theory. The final chapter )] TJ ET
BT 34.016 359.873 Td /F1 7.5 Tf [(contains a list of open problems. Extensive bibliography is also included. Each chapter, except the open problems chapter, contains exercises and a notes )] TJ ET
BT 34.016 350.716 Td /F1 7.5 Tf [(and remarks section containing references, discussion of related results, and suggestions for further reading. The book will help readers to enter and to work )] TJ ET
BT 34.016 341.558 Td /F1 7.5 Tf [(in a very rapidly developing area having many important connections with different parts of mathematics and computer science.)] TJ ET
BT 34.016 332.401 Td /F1 7.5 Tf [(Asymptotic Theory of Finite Dimensional Normed Spaces)] TJ ET
BT 224.073 332.401 Td /F1 7.5 Tf [( Vitali D. Milman 2009-02-27 This book deals with the geometrical structure of finite dimensional )] TJ ET
BT 34.016 323.243 Td /F1 7.5 Tf [(normed spaces, as the dimension grows to infinity. This is a part of what came to be known as the Local Theory of Banach Spaces \(this name was derived )] TJ ET
BT 34.016 314.086 Td /F1 7.5 Tf [(from the fact that in its first stages, this theory dealt mainly with relating the structure of infinite dimensional Banach spaces to the structure of their lattice of )] TJ ET
BT 34.016 304.928 Td /F1 7.5 Tf [(finite dimensional subspaces\). Our purpose in this book is to introduce the reader to some of the results, problems, and mainly methods developed in the )] TJ ET
BT 34.016 295.771 Td /F1 7.5 Tf [(Local Theory, in the last few years. This by no means is a complete survey of this wide area. Some of the main topics we do not discuss here are mentioned )] TJ ET
BT 34.016 286.613 Td /F1 7.5 Tf [(in the Notes and Remarks section. Several books appeared recently or are going to appear shortly, which cover much of the material not covered in this book. )] TJ ET
BT 34.016 277.456 Td /F1 7.5 Tf [(Among these are Pisier's [Pis6] where factorization theorems related to Grothendieck's theorem are extensively discussed, and Tomczak-Jaegermann's [T-Jl] )] TJ ET
BT 34.016 268.298 Td /F1 7.5 Tf [(where operator ideals and distances between finite dimensional normed spaces are studied in detail. Another related book is Pietch's [Pie].)] TJ ET
BT 34.016 259.141 Td /F1 7.5 Tf [(Functional Analysis)] TJ ET
BT 98.621 259.141 Td /F1 7.5 Tf [( Peter D. Lax 2014-08-28 Includes sections on the spectral resolution and spectralrepresentation of self adjoint operators, invariant )] TJ ET
BT 34.016 249.983 Td /F1 7.5 Tf [(subspaces,strongly continuous one-parameter semigroups, the index ofoperators, the trace formula of Lidskii, the Fredholm determinant,and more. * Assumes )] TJ ET
BT 34.016 240.826 Td /F1 7.5 Tf [(prior knowledge of Naive set theory, linear algebra,point set topology, basic complex variable, and realvariables. * Includes an appendix on the Riesz )] TJ ET
BT 34.016 231.668 Td /F1 7.5 Tf [(representation theorem.)] TJ ET
BT 34.016 222.511 Td /F1 7.5 Tf [(A Qualitative Approach to Inverse Scattering Theory)] TJ ET
BT 207.011 222.511 Td /F1 7.5 Tf [( Fioralba Cakoni 2013-10-28 Inverse scattering theory is an important area of applied mathematics due to )] TJ ET
BT 34.016 213.353 Td /F1 7.5 Tf [(its central role in such areas as medical imaging , nondestructive testing and geophysical exploration. Until recently all existing algorithms for solving inverse )] TJ ET
BT 34.016 204.196 Td /F1 7.5 Tf [(scattering problems were based on using either a weak scattering assumption or on the use of nonlinear optimization techniques. The limitations of these )] TJ ET
BT 34.016 195.038 Td /F1 7.5 Tf [(methods have led in recent years to an alternative approach to the inverse scattering problem which avoids the incorrect model assumptions inherent in the )] TJ ET
BT 34.016 185.881 Td /F1 7.5 Tf [(use of weak scattering approximations as well as the strong a priori information needed in order to implement nonlinear optimization techniques. These new )] TJ ET
BT 34.016 176.723 Td /F1 7.5 Tf [(methods come under the general title of qualitative methods in inverse scattering theory and seek to determine an approximation to the shape of the )] TJ ET
BT 34.016 167.566 Td /F1 7.5 Tf [(scattering object as well as estimates on its material properties without making any weak scattering assumption and using essentially no a priori information )] TJ ET
BT 34.016 158.408 Td /F1 7.5 Tf [(on the nature of the scattering object. This book is designed to be an introduction to this new approach in inverse scattering theory focusing on the use of )] TJ ET
BT 34.016 149.251 Td /F1 7.5 Tf [(sampling methods and transmission eigenvalues. In order to aid the reader coming from a discipline outside of mathematics we have included background )] TJ ET
BT 34.016 140.093 Td /F1 7.5 Tf [(material on functional analysis, Sobolev spaces, the theory of ill posed problems and certain topics in in the theory of entire functions of a complex variable. )] TJ ET
BT 34.016 130.936 Td /F1 7.5 Tf [(This book is an updated and expanded version of an earlier book by the authors published by Springer titled Qualitative Methods in Inverse Scattering Theory )] TJ ET
BT 34.016 121.778 Td /F1 7.5 Tf [(Review of Qualitative Methods in Inverse Scattering Theory All in all, the authors do exceptionally well in combining such a wide variety of mathematical )] TJ ET
BT 34.016 112.621 Td /F1 7.5 Tf [(material and in presenting it in a well-organized and easy-to-follow fashion. This text certainly complements the growing body of work in inverse scattering and )] TJ ET
BT 34.016 103.463 Td /F1 7.5 Tf [(should well suit both new researchers to the field as well as those who could benefit from such a nice codified collection of profitable results combined in one )] TJ ET
BT 34.016 94.306 Td /F1 7.5 Tf [(bound volume. SIAM Review, 2006)] TJ ET
BT 34.016 85.148 Td /F1 7.5 Tf [(The Parameterization Method for Invariant Manifolds)] TJ ET
BT 208.668 85.148 Td /F1 7.5 Tf [( Àlex Haro 2016-04-18 This monograph presents some theoretical and computational aspects of the )] TJ ET
BT 34.016 75.991 Td /F1 7.5 Tf [(parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-)] TJ ET
BT 34.016 66.833 Td /F1 7.5 Tf [(periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. This book provides algorithms of computation )] TJ ET
BT 34.016 57.676 Td /F1 7.5 Tf [(and some practical details of their implementation. The methodology is illustrated with 12 detailed examples, many of them well known in the literature of )] TJ ET
BT 34.016 48.518 Td /F1 7.5 Tf [(numerical computation in dynamical systems. A public version of the software used for some of the examples is available online. The book is aimed at )] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(mathematicians, scientists and engineers interested in the theory and applications of computational dynamical systems.)] TJ ET
BT 34.016 369.031 Td /F1 7.5 Tf [(The Survival of a Mathematician)] TJ ET
BT 141.138 369.031 Td /F1 7.5 Tf [( Steven George Krantz 2009-01 "One of the themes of the book is how to have a fulfilling professional life. In order to achieve )] TJ ET
BT 34.016 359.873 Td /F1 7.5 Tf [(this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, )] TJ ET
BT 34.016 350.716 Td /F1 7.5 Tf [(teaching, and administration." "In short, this is a survival manual for the professional mathematician - both in academics and in industry and government )] TJ ET
BT 34.016 341.558 Td /F1 7.5 Tf [(agencies. It is a sequel to the author's A Mathematician's Survival Guide."--BOOK JACKET.)] TJ ET
BT 34.016 332.401 Td /F1 7.5 Tf [(The Fixed Point Index and Some Applications)] TJ ET
BT 185.756 332.401 Td /F1 7.5 Tf [( Roger D. Nussbaum 1985 )] TJ ET
BT 34.016 323.243 Td /F1 7.5 Tf [(Geometric Aspects of Functional Analysis)] TJ ET
BT 172.398 323.243 Td /F1 7.5 Tf [( Bo'az Klartag 2020-06-20 Continuing the theme of the previous volumes, these seminar notes reflect general trends )] TJ ET
BT 34.016 314.086 Td /F1 7.5 Tf [(in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure )] TJ ET
BT 34.016 304.928 Td /F1 7.5 Tf [(Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the )] TJ ET
BT 34.016 295.771 Td /F1 7.5 Tf [(earliest examples of regularity and order in high dimensions. Central to the text is the study of the Poincaré and log-Sobolev functional inequalities, their )] TJ ET
BT 34.016 286.613 Td /F1 7.5 Tf [(reverses, and other inequalities, in which a crucial role is often played by convexity assumptions such as Log-Concavity. The concept and properties of )] TJ ET
BT 34.016 277.456 Td /F1 7.5 Tf [(Entropy form an important subject, with Bourgain's slicing problem and its variants drawing much attention. Constructions related to Convexity Theory are )] TJ ET
BT 34.016 268.298 Td /F1 7.5 Tf [(proposed and revisited, as well as inequalities that go beyond the Brunn–Minkowski theory. One of the major current research directions addressed is the )] TJ ET
BT 34.016 259.141 Td /F1 7.5 Tf [(identification of lower-dimensional structures with remarkable properties in rather arbitrary high-dimensional objects. In addition to functional analytic results, )] TJ ET
BT 34.016 249.983 Td /F1 7.5 Tf [(connections to Computer Science and to Differential Geometry are also discussed.)] TJ ET
BT 34.016 240.826 Td /F1 7.5 Tf [(The Volume of Convex Bodies and Banach Space Geometry)] TJ ET
BT 235.781 240.826 Td /F1 7.5 Tf [( Gilles Pisier 1999-05-27 A self-contained presentation of results relating the volume of convex )] TJ ET
BT 34.016 231.668 Td /F1 7.5 Tf [(bodies and Banach space geometry.)] TJ ET
BT 34.016 222.511 Td /F1 7.5 Tf [(Polyfold and Fredholm Theory)] TJ ET
BT 134.471 222.511 Td /F1 7.5 Tf [( Helmut Hofer 2021-07-21 This book pioneers a nonlinear Fredholm theory in a general class of spaces called polyfolds. The )] TJ ET
BT 34.016 213.353 Td /F1 7.5 Tf [(theory generalizes certain aspects of nonlinear analysis and differential geometry, and combines them with a pinch of category theory to incorporate local )] TJ ET
BT 34.016 204.196 Td /F1 7.5 Tf [(symmetries. On the differential geometrical side, the book introduces a large class of `smooth’ spaces and bundles which can have locally varying dimensions )] TJ ET
BT 34.016 195.038 Td /F1 7.5 Tf [(\(finite or infinite-dimensional\). These bundles come with an important class of sections, which display properties reminiscent of classical nonlinear Fredholm )] TJ ET
BT 34.016 185.881 Td /F1 7.5 Tf [(theory and allow for implicit function theorems. Within this nonlinear analysis framework, a versatile transversality and perturbation theory is developed to also )] TJ ET
BT 34.016 176.723 Td /F1 7.5 Tf [(cover equivariant settings. The theory presented in this book was initiated by the authors between 2007-2010, motivated by nonlinear moduli problems in )] TJ ET
BT 34.016 167.566 Td /F1 7.5 Tf [(symplectic geometry. Such problems are usually described locally as nonlinear elliptic systems, and they have to be studied up to a notion of isomorphism. )] TJ ET
BT 34.016 158.408 Td /F1 7.5 Tf [(This introduces symmetries, since such a system can be isomorphic to itself in different ways. Bubbling-off phenomena are common and have to be )] TJ ET
BT 34.016 149.251 Td /F1 7.5 Tf [(completely understood to produce algebraic invariants. This requires a transversality theory for bubbling-off phenomena in the presence of symmetries. Very )] TJ ET
BT 34.016 140.093 Td /F1 7.5 Tf [(often, even in concrete applications, geometric perturbations are not general enough to achieve transversality, and abstract perturbations have to be )] TJ ET
BT 34.016 130.936 Td /F1 7.5 Tf [(considered. The theory is already being successfully applied to its intended applications in symplectic geometry, and should find applications to many other )] TJ ET
BT 34.016 121.778 Td /F1 7.5 Tf [(areas where partial differential equations, geometry and functional analysis meet. Written by its originators, Polyfold and Fredholm Theory is an authoritative )] TJ ET
BT 34.016 112.621 Td /F1 7.5 Tf [(and comprehensive treatise of polyfold theory. It will prove invaluable for researchers studying nonlinear elliptic problems arising in geometric contexts.)] TJ ET
BT 34.016 103.463 Td /F1 7.5 Tf [(Reflection Positivity)] TJ ET
BT 99.033 103.463 Td /F1 7.5 Tf [( Karl-Hermann Neeb 2018-06-28 Refection Positivity is a central theme at the crossroads of Lie group representations, euclidean and )] TJ ET
BT 34.016 94.306 Td /F1 7.5 Tf [(abstract harmonic analysis, constructive quantum field theory, and stochastic processes. This book provides the first presentation of the representation )] TJ ET
BT 34.016 85.148 Td /F1 7.5 Tf [(theoretic aspects of Refection Positivity and discusses its connections to those different fields on a level suitable for doctoral students and researchers in )] TJ ET
BT 34.016 75.991 Td /F1 7.5 Tf [(related fields. It starts with a general introduction to the ideas and methods involving refection positive Hilbert spaces and the Osterwalder--Schrader )] TJ ET
BT 34.016 66.833 Td /F1 7.5 Tf [(transform. It then turns to Reflection Positivity in Lie group representations. Already the case of one-dimensional groups is extremely rich. For the real line it )] TJ ET
BT 34.016 57.676 Td /F1 7.5 Tf [(connects naturally with Lax--Phillips scattering theory and for the circle group it provides a new perspective on the Kubo--Martin--Schwinger \(KMS\) condition )] TJ ET
BT 34.016 48.518 Td /F1 7.5 Tf [(for states of operator algebras. For Lie groups Reflection Positivity connects unitary representations of a symmetric Lie group with unitary representations of )] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(its Cartan dual Lie group. A typical example is the duality between the Euclidean group E\(n\) and the Poincare group P\(n\) of special relativity. It discusses in )] TJ ET
BT 34.016 369.031 Td /F1 7.5 Tf [(particular the curved context of the duality between spheres and hyperbolic spaces. Further it presents some new integration techniques for representations of )] TJ ET
BT 34.016 359.873 Td /F1 7.5 Tf [(Lie algebras by unbounded operators which are needed for the passage to the dual group. Positive definite functions, kernels and distributions and used )] TJ ET
BT 34.016 350.716 Td /F1 7.5 Tf [(throughout as a central tool.)] TJ ET
BT 34.016 341.558 Td /F1 7.5 Tf [(Geometry of Cuts and Metrics)] TJ ET
BT 133.631 341.558 Td /F1 7.5 Tf [( Michel Marie Deza 2009-11-12 Cuts and metrics are well-known objects that arise - independently, but with many deep and )] TJ ET
BT 34.016 332.401 Td /F1 7.5 Tf [(fascinating connections - in diverse fields: in graph theory, combinatorial optimization, geometry of numbers, combinatorial matrix theory, statistical physics, )] TJ ET
BT 34.016 323.243 Td /F1 7.5 Tf [(VLSI design etc. This book presents a wealth of results, from different mathematical disciplines, in a unified comprehensive manner, and establishes new and )] TJ ET
BT 34.016 314.086 Td /F1 7.5 Tf [(old links, which cannot be found elsewhere. It provides a unique and invaluable source for researchers and graduate students. From the Reviews: "This book )] TJ ET
BT 34.016 304.928 Td /F1 7.5 Tf [(is definitely a milestone in the literature of integer programming and combinatorial optimization. It draws from the Interdisciplinarity of these fields [...]. With )] TJ ET
BT 34.016 295.771 Td /F1 7.5 Tf [(knowledge about the relevant terms, one can enjoy special subsections without being entirely familiar with the rest of the chapter. This makes it not only an )] TJ ET
BT 34.016 286.613 Td /F1 7.5 Tf [(interesting research book but even a dictionary. [...] The longer one works with it, the more beautiful it becomes." Optima 56, 1997.)] TJ ET
BT 34.016 277.456 Td /F1 7.5 Tf [(Abstracts of Papers Presented to the American Mathematical Society)] TJ ET
BT 263.696 277.456 Td /F1 7.5 Tf [( American Mathematical Society 2007 )] TJ ET
BT 34.016 268.298 Td /F1 7.5 Tf [(Probability in Banach Spaces)] TJ ET
BT 131.561 268.298 Td /F1 7.5 Tf [( Michel Ledoux 2013-03-09 Isoperimetric, measure concentration and random process techniques appear at the basis of the )] TJ ET
BT 34.016 259.141 Td /F1 7.5 Tf [(modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in )] TJ ET
BT 34.016 249.983 Td /F1 7.5 Tf [(Banach spaces \(integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes\) and of some of their )] TJ ET
BT 34.016 240.826 Td /F1 7.5 Tf [(links to Geometry of Banach spaces \(via the type and cotype properties\). Its purpose is to present some of the main aspects of this theory, from the )] TJ ET
BT 34.016 231.668 Td /F1 7.5 Tf [(foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure )] TJ ET
BT 34.016 222.511 Td /F1 7.5 Tf [(and abstract random process techniques \(entropy and majorizing measures\). Examples of these probabilistic tools and ideas to classical Banach space theory )] TJ ET
BT 34.016 213.353 Td /F1 7.5 Tf [(are further developed.)] TJ ET
BT 34.016 204.196 Td /F1 7.5 Tf [(Metric and Differential Geometry)] TJ ET
BT 141.963 204.196 Td /F1 7.5 Tf [( Xianzhe Dai 2012-06-01 Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of )] TJ ET
BT 34.016 195.038 Td /F1 7.5 Tf [(Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions to this volume cover a broad range of topics in metric and differential )] TJ ET
BT 34.016 185.881 Td /F1 7.5 Tf [(geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most )] TJ ET
BT 34.016 176.723 Td /F1 7.5 Tf [(recent advances as well as surveys the new developments. Contributors: M.T. Anderson J.-M. Bismut X. Chen X. Dai R. Harvey P. Koskela B. Lawson X. Ma )] TJ ET
BT 34.016 167.566 Td /F1 7.5 Tf [(R. Melrose W. Müller A. Naor J. Simons C. Sormani D. Sullivan S. Sun G. Tian K. Wildrick W. Zhang)] TJ ET
BT 34.016 158.408 Td /F1 7.5 Tf [(Fascinating Mathematical People)] TJ ET
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BT 144.476 158.408 Td /F1 7.5 Tf [( Donald J. Albers 2011-09-06 Top mathematicians talk about their work and lives Fascinating Mathematical People is a )] TJ ET
BT 34.016 149.251 Td /F1 7.5 Tf [(collection of informal interviews and memoirs of sixteen prominent members of the mathematical community of the twentieth century, many still active. The )] TJ ET
BT 34.016 140.093 Td /F1 7.5 Tf [(candid portraits collected here demonstrate that while these men and women vary widely in terms of their backgrounds, life stories, and worldviews, they all )] TJ ET
BT 34.016 130.936 Td /F1 7.5 Tf [(share a deep and abiding sense of wonder about mathematics. Featured here—in their own words—are major research mathematicians whose cutting-edge )] TJ ET
BT 34.016 121.778 Td /F1 7.5 Tf [(discoveries have advanced the frontiers of the field, such as Lars Ahlfors, Mary Cartwright, Dusa McDuff, and Atle Selberg. Others are leading )] TJ ET
BT 34.016 112.621 Td /F1 7.5 Tf [(mathematicians who have also been highly influential as teachers and mentors, like Tom Apostol and Jean Taylor. Fern Hunt describes what it was like to be )] TJ ET
BT 34.016 103.463 Td /F1 7.5 Tf [(among the first black women to earn a PhD in mathematics. Harold Bacon made trips to Alcatraz to help a prisoner learn calculus. Thomas Banchoff, who first )] TJ ET
BT 34.016 94.306 Td /F1 7.5 Tf [(became interested in the fourth dimension while reading a Captain Marvel comic, relates his fascinating friendship with Salvador Dalí and their shared passion )] TJ ET
BT 34.016 85.148 Td /F1 7.5 Tf [(for art, mathematics, and the profound connection between the two. Other mathematical people found here are Leon Bankoff, who was also a Beverly Hills )] TJ ET
BT 34.016 75.991 Td /F1 7.5 Tf [(dentist; Arthur Benjamin, a part-time professional magician; and Joseph Gallian, a legendary mentor of future mathematicians, but also a world-renowned )] TJ ET
BT 34.016 66.833 Td /F1 7.5 Tf [(expert on the Beatles. This beautifully illustrated collection includes many photographs never before published, concise introductions by the editors to each )] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(person, and a foreword by Philip J. Davis.)] TJ ET
BT 36.266 349.792 Td /F1 8.0 Tf [(local-theory-of-banach-spaces-nyu-courant)] TJ ET
BT 333.126 350.000 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 398.038 349.792 Td /F1 8.0 Tf [(equityoffice.com)] TJ ET
BT 455.838 350.000 Td /F1 8.0 Tf [( on October 2, 2022 by guest)] TJ ET
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