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BT 34.016 778.232 Td /F1 18.0 Tf [(Local Theory Of Banach Spaces Nyu Courant)] TJ ET
BT 34.016 743.985 Td /F1 9.0 Tf [(Eventually, you will completely discover a additional experience and finishing by spending more cash. still when? pull off you tolerate that you require to acquire those every needs gone having significantly cash? Why dont you try to get something basic in the beginning? Thats )] TJ ET
BT 34.016 732.996 Td /F1 9.0 Tf [(something that will guide you to understand even more in relation to the globe, experience, some places, as soon as history, amusement, and a lot more? )] TJ ET
BT 34.016 711.207 Td /F1 9.0 Tf [(It is your unquestionably own period to undertaking reviewing habit. in the course of guides you could enjoy now is )] TJ ET
BT 490.739 711.207 Td /F1 9.0 Tf [(Local Theory Of Banach Spaces Nyu Courant)] TJ ET
BT 673.322 711.207 Td /F1 9.0 Tf [( below.)] TJ ET
BT 34.016 671.418 Td /F1 9.0 Tf [(Metric and Differential Geometry)] TJ ET
BT 163.553 671.418 Td /F1 9.0 Tf [( Xianzhe Dai 2012-06-01 Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions to this volume cover a broad range )] TJ ET
BT 34.016 660.429 Td /F1 9.0 Tf [(of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most recent advances as well as surveys the new developments. Contributors: M.T. Anderson )] TJ ET
BT 34.016 649.440 Td /F1 9.0 Tf [(J.-M. Bismut X. Chen X. Dai R. Harvey P. Koskela B. Lawson X. Ma R. Melrose W. Müller A. Naor J. Simons C. Sormani D. Sullivan S. Sun G. Tian K. Wildrick W. Zhang)] TJ ET
BT 34.016 638.451 Td /F1 9.0 Tf [(Fascinating Mathematical People)] TJ ET
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BT 166.568 638.451 Td /F1 9.0 Tf [( Donald J. Albers 2011-09-06 Top mathematicians talk about their work and lives Fascinating Mathematical People is a collection of informal interviews and memoirs of sixteen prominent members of the mathematical community of the twentieth )] TJ ET
BT 34.016 627.462 Td /F1 9.0 Tf [(century, many still active. The candid portraits collected here demonstrate that while these men and women vary widely in terms of their backgrounds, life stories, and worldviews, they all share a deep and abiding sense of wonder about mathematics. Featured here—in their own )] TJ ET
BT 34.016 616.473 Td /F1 9.0 Tf [(words—are major research mathematicians whose cutting-edge discoveries have advanced the frontiers of the field, such as Lars Ahlfors, Mary Cartwright, Dusa McDuff, and Atle Selberg. Others are leading mathematicians who have also been highly influential as teachers and )] TJ ET
BT 34.016 605.484 Td /F1 9.0 Tf [(mentors, like Tom Apostol and Jean Taylor. Fern Hunt describes what it was like to be 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 became interested in the fourth )] TJ ET
BT 34.016 594.495 Td /F1 9.0 Tf [(dimension while reading a Captain Marvel comic, relates his fascinating friendship with Salvador Dalí and their shared passion 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 34.016 583.506 Td /F1 9.0 Tf [(dentist; Arthur Benjamin, a part-time professional magician; and Joseph Gallian, a legendary mentor of future mathematicians, but also a world-renowned expert on the Beatles. This beautifully illustrated collection includes many photographs never before published, concise )] TJ ET
BT 34.016 572.517 Td /F1 9.0 Tf [(introductions by the editors to each person, and a foreword by Philip J. Davis.)] TJ ET
BT 34.016 561.528 Td /F1 9.0 Tf [(Surveys on Surgery Theory \(AM-145\), Volume 1)] TJ ET
BT 226.580 561.528 Td /F1 9.0 Tf [( Sylvain Cappell 2014-09-08 Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied )] TJ ET
BT 34.016 550.539 Td /F1 9.0 Tf [(interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source that surveys surgery theory and its applications. Indeed, no one person could write such a survey. The sixtieth birthday of C. T. C. Wall, one of the )] TJ ET
BT 34.016 539.550 Td /F1 9.0 Tf [(leaders of the founding generation of surgery theory, provided an opportunity to rectify the situation and produce a comprehensive book on the subject. Experts have written state-of-the-art reports that will be of broad interest to all those interested in topology, not only graduate )] TJ ET
BT 34.016 528.561 Td /F1 9.0 Tf [(students and mathematicians, but mathematical physicists as well. Contributors include J. Milnor, S. Novikov, W. Browder, T. Lance, E. Brown, M. Kreck, J. Klein, M. Davis, J. Davis, I. Hambleton, L. Taylor, C. Stark, E. Pedersen, W. Mio, J. Levine, K. Orr, J. Roe, J. Milgram, and C. )] TJ ET
BT 34.016 517.572 Td /F1 9.0 Tf [(Thomas.)] TJ ET
BT 34.016 506.583 Td /F1 9.0 Tf [(Classical Banach Spaces II)] TJ ET
BT 143.060 506.583 Td /F1 9.0 Tf [( J. Lindenstrauss 2013-12-11 )] TJ ET
BT 34.016 495.594 Td /F1 9.0 Tf [(Geometric Nonlinear Functional Analysis)] TJ ET
BT 196.565 495.594 Td /F1 9.0 Tf [( Yoav Benyamini 2000 A systematic study of geometric nonlinear functional analysis. The main theme is the study of uniformly continuous and Lipschitz functions between Banach spaces. This study leads to the classification of Banach )] TJ ET
BT 34.016 484.605 Td /F1 9.0 Tf [(spaces and of their important subsets in the uniform and Lipschitz categories.)] TJ ET
BT 34.016 473.616 Td /F1 9.0 Tf [(Factorization of Linear Operators and Geometry of Banach Spaces)] TJ ET
BT 300.641 473.616 Td /F1 9.0 Tf [( Gilles Pisier 1986 This book surveys the considerable progress made in Banach space theory as a result of Grothendieck's fundamental paper ""Resume De la Theorie Metrique des Produits Tensoriels )] TJ ET
BT 34.016 462.627 Td /F1 9.0 Tf [(Topologiques"". The author examines the 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 particular when the operators are defined on a Banach lattice, a $C^*$-algebra or the )] TJ ET
BT 34.016 451.638 Td /F1 9.0 Tf [(disc algebra and $H^\\infty$. He reviews the six problems posed at the 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 which led to their solution. The last chapter contains )] TJ ET
BT 34.016 440.649 Td /F1 9.0 Tf [(the author's construction of several Banach spaces such that the injective and projective tensor products coincide; this gives a negative solution to Grothendieck's sixth problem.Although the book is aimed at mathematicians working in functional analysis, harmonic analysis and )] TJ ET
BT 34.016 429.660 Td /F1 9.0 Tf [(operator algebras, its detailed and self-contained treatment makes the material accessible to nonspecialists with a grounding in basic functional analysis. In fact, the author is particularly concerned to develop very recent results in the geometry of Banach spaces in a form that )] TJ ET
BT 34.016 418.671 Td /F1 9.0 Tf [(emphasizes how they may be applied in other fields, such as harmonic analysis and $C^*$-algebras.)] TJ ET
BT 34.016 407.682 Td /F1 9.0 Tf [(Foundations of Computational Mathematics)] TJ ET
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BT 207.590 407.682 Td /F1 9.0 Tf [( DeVore Iserles Suli 2001-05-17 Collection of papers by leading researchers in computational mathematics, suitable for graduate students and researchers.)] TJ ET
BT 34.016 396.693 Td /F1 9.0 Tf [(Linear Integral Equations)] TJ ET
BT 134.069 396.693 Td /F1 9.0 Tf [( Rainer Kress 2013-12-04 This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has )] TJ ET
BT 34.016 385.704 Td /F1 9.0 Tf [(made it as self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book itself. )] TJ ET
BT 34.016 374.715 Td /F1 9.0 Tf [(Problems are included at the end of each chapter. For this third edition in order to make the introduction to the basic functional analytic tools more complete the Hahn–Banach extension theorem and the Banach open mapping theorem are now included in the text. The treatment of )] TJ ET
BT 34.016 363.726 Td /F1 9.0 Tf [(boundary value problems in potential theory has been extended by a more complete discussion of integral equations of the first kind in the classical Holder space setting and of both integral equations of the first and second kind in the contemporary Sobolev space setting. In the )] TJ ET
BT 34.016 352.737 Td /F1 9.0 Tf [(numerical solution part of the book, the author included a new collocation method for two-dimensional hypersingular boundary integral equations and a collocation method for the three-dimensional Lippmann-Schwinger equation. The final chapter of the book on inverse boundary )] TJ ET
BT 34.016 341.748 Td /F1 9.0 Tf [(value problems for the Laplace equation has been largely rewritten with special attention to the trilogy of decomposition, iterative and sampling methods Reviews of earlier editions: "This book is an excellent introductory text for students, scientists, and engineers who want to learn )] TJ ET
BT 34.016 330.759 Td /F1 9.0 Tf [(the basic theory of linear integral equations and their numerical solution." \(Math. Reviews, 2000\) "This is a good introductory text book on linear integral equations. It contains almost all the topics necessary for a student. The presentation of the subject matter is lucid, clear and in the )] TJ ET
BT 34.016 319.770 Td /F1 9.0 Tf [(proper modern framework without being too abstract." \(ZbMath, 1999\))] TJ ET
BT 34.016 308.781 Td /F1 9.0 Tf [(Absolutely Summing Operators)] TJ ET
BT 158.558 308.781 Td /F1 9.0 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 34.016 297.792 Td /F1 9.0 Tf [(A Journey Through Discrete Mathematics)] TJ ET
BT 199.571 297.792 Td /F1 9.0 Tf [( Martin Loebl 2017-10-11 This collection of high-quality articles in the field of combinatorics, geometry, algebraic topology and theoretical computer science is a tribute to Ji?í Matoušek, who passed away prematurely in March 2015. It is a )] TJ ET
BT 34.016 286.803 Td /F1 9.0 Tf [(collaborative effort by his colleagues and friends, who have paid particular attention to clarity of exposition – something Jirka would have approved of. The original research articles, surveys and expository articles, written by leading experts in their respective fields, map Ji?í )] TJ ET
BT 34.016 275.814 Td /F1 9.0 Tf [(Matoušek’s numerous areas of mathematical interest.)] TJ ET
BT 34.016 264.825 Td /F1 9.0 Tf [(Abstracts of Papers Presented to the American Mathematical Society)] TJ ET
BT 309.632 264.825 Td /F1 9.0 Tf [( American Mathematical Society 2007 )] TJ ET
BT 34.016 253.836 Td /F1 9.0 Tf [(Convex Duality and Financial Mathematics)] TJ ET
BT 204.071 253.836 Td /F1 9.0 Tf [( Peter Carr 2018-07-18 This book provides a concise introduction to convex duality in financial mathematics. Convex duality plays an essential role in dealing with financial problems and involves maximizing concave utility functions and )] TJ ET
BT 34.016 242.847 Td /F1 9.0 Tf [(minimizing convex risk measures. Recently, convex and generalized convex dualities have shown to be crucial in the process of the dynamic hedging of contingent claims. Common underlying principles and connections between different perspectives are developed; results are )] TJ ET
BT 34.016 231.858 Td /F1 9.0 Tf [(illustrated through graphs and explained heuristically. This book can be used as a reference and is aimed toward graduate students, researchers and practitioners in mathematics, finance, economics, and optimization. Topics include: Markowitz portfolio theory, growth portfolio )] TJ ET
BT 34.016 220.869 Td /F1 9.0 Tf [(theory, fundamental theorem of asset pricing emphasizing the duality between utility optimization and pricing by martingale measures, risk measures and its dual representation, hedging and super-hedging and its relationship with linear programming duality and the duality )] TJ ET
BT 34.016 209.880 Td /F1 9.0 Tf [(relationship in dynamic hedging of contingent claims)] TJ ET
BT 34.016 198.891 Td /F1 9.0 Tf [(Inverse Source Problems)] TJ ET
BT 135.050 198.891 Td /F1 9.0 Tf [( Victor Isakov 1990 Inverse problems arise in many areas of mathematical physics, and applications are rapidly expanding to such areas as geophysics, chemistry, medicine, and engineering. The main theme of this book is uniqueness, stability, and )] TJ ET
BT 34.016 187.902 Td /F1 9.0 Tf [(existence of solutions of inverse problems for partial differential equations. Focusing primarily on the inverse problem of potential theory and closely related questions such as coefficient identification problems, this book will give readers an understanding of the results of a )] TJ ET
BT 34.016 176.913 Td /F1 9.0 Tf [(substantial part of the theory of inverse problems and of some of the new ideas and methods used.The author provides complete proofs of most general uniqueness theorems for the inverse problem of gravimetry, a detailed study of regularity properties \(including examples of non-)] TJ ET
BT 34.016 165.924 Td /F1 9.0 Tf [(regular domains with regular potentials\), counterexamples to uniqueness and uniqueness theorems, and a treatment of the theory of non-stationary problems. In addition, the book deals with the orthogonality method, formulates several important unsolved problems, and suggests )] TJ ET
BT 34.016 154.935 Td /F1 9.0 Tf [(certain technical means appropriate for further study; some numerical methods are also outlined. Requiring a background in the basics of differential equations and function theory, this book is directed at mathematicians specializing in partial differential equations and potential )] TJ ET
BT 34.016 143.946 Td /F1 9.0 Tf [(theory, as well as physicists, geophysicists, and engineers.)] TJ ET
BT 34.016 132.957 Td /F1 9.0 Tf [(Dissertation Abstracts International)] TJ ET
BT 173.570 132.957 Td /F1 9.0 Tf [( 1970 )] TJ ET
BT 34.016 121.968 Td /F1 9.0 Tf [(Index to Scientific & Technical Proceedings)] TJ ET
BT 206.591 121.968 Td /F1 9.0 Tf [( 1980 Monthly, with annual cumulation. Published conference literature useful both as current awareness and retrospective tools that allow searching by authors of individual papers as well as by editors. Includes proceedings in all formats, )] TJ ET
BT 34.016 110.979 Td /F1 9.0 Tf [(i.e., books, reports, journal issues, etc. Complete bibliographical information for each conference proceedings appears in section titled Contents of proceedings, with accompanying category, permuterm subject, sponsor, author/editor, meeting location, and corporate indexes. )] TJ ET
BT 34.016 99.990 Td /F1 9.0 Tf [(Contains abbreviations used in organizational and geographical names.)] TJ ET
BT 34.016 89.001 Td /F1 9.0 Tf [(Reflection Positivity)] TJ ET
BT 112.037 89.001 Td /F1 9.0 Tf [( Karl-Hermann Neeb 2018-06-28 Refection Positivity is a central theme at the crossroads of Lie group representations, euclidean and abstract harmonic analysis, constructive quantum field theory, and stochastic processes. This book provides the first )] TJ ET
BT 34.016 78.012 Td /F1 9.0 Tf [(presentation of the representation theoretic aspects of Refection Positivity and discusses its connections to those different fields on a level suitable for doctoral students and researchers in related fields. It starts with a general introduction to the ideas and methods involving refection )] TJ ET
BT 34.016 67.023 Td /F1 9.0 Tf [(positive Hilbert spaces and the Osterwalder--Schrader 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 connects naturally with Lax--Phillips scattering theory and for the circle )] TJ ET
BT 34.016 56.034 Td /F1 9.0 Tf [(group it provides a new perspective on the Kubo--Martin--Schwinger \(KMS\) condition for states of operator algebras. For Lie groups Reflection Positivity connects unitary representations of a symmetric Lie group with unitary representations of its Cartan dual Lie group. A typical )] TJ ET
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BT 34.016 799.083 Td /F1 9.0 Tf [(example is the duality between the Euclidean group E\(n\) and the Poincare group P\(n\) of special relativity. It discusses in 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 34.016 788.094 Td /F1 9.0 Tf [(Lie algebras by unbounded operators which are needed for the passage to the dual group. Positive definite functions, kernels and distributions and used throughout as a central tool.)] TJ ET
BT 34.016 777.105 Td /F1 9.0 Tf [(Asymptotic Theory of Finite Dimensional Normed Spaces)] TJ ET
BT 262.085 777.105 Td /F1 9.0 Tf [( Vitali D. Milman 2009-02-27 This book deals with the geometrical structure of finite dimensional normed spaces, as the dimension grows to infinity. This is a part of what came to be known as the Local Theory of Banach )] TJ ET
BT 34.016 766.116 Td /F1 9.0 Tf [(Spaces \(this name was derived from the fact that in its first stages, this theory dealt mainly with relating the structure of infinite dimensional Banach spaces to the structure of their lattice of finite dimensional subspaces\). Our purpose in this book is to introduce the reader to some of )] TJ ET
BT 34.016 755.127 Td /F1 9.0 Tf [(the results, problems, and mainly methods developed in the 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 in the Notes and Remarks section. Several books appeared )] TJ ET
BT 34.016 744.138 Td /F1 9.0 Tf [(recently or are going to appear shortly, which cover much of the material not covered in this book. Among these are Pisier's [Pis6] where factorization theorems related to Grothendieck's theorem are extensively discussed, and Tomczak-Jaegermann's [T-Jl] where operator ideals )] TJ ET
BT 34.016 733.149 Td /F1 9.0 Tf [(and distances between finite dimensional normed spaces are studied in detail. Another related book is Pietch's [Pie].)] TJ ET
BT 34.016 722.160 Td /F1 9.0 Tf [(The Fixed Point Index and Some Applications)] TJ ET
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34.016 720.675 m 216.104 720.675 l S
BT 216.104 722.160 Td /F1 9.0 Tf [( Roger D. Nussbaum 1985 )] TJ ET
BT 34.016 711.171 Td /F1 9.0 Tf [(The Survival of a Mathematician)] TJ ET
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34.016 709.686 m 162.563 709.686 l S
BT 162.563 711.171 Td /F1 9.0 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 this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with )] TJ ET
BT 34.016 700.182 Td /F1 9.0 Tf [(the everyday tasks of research, teaching, and administration." "In short, this is a survival manual for the professional mathematician - both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide."--BOOK JACKET.)] TJ ET
BT 34.016 689.193 Td /F1 9.0 Tf [(Geometry of Cuts and Metrics)] TJ ET
BT 153.554 689.193 Td /F1 9.0 Tf [( Michel Marie Deza 2009-11-12 Cuts and metrics are well-known objects that arise - independently, but with many deep and fascinating connections - in diverse fields: in graph theory, combinatorial optimization, geometry of numbers, combinatorial )] TJ ET
BT 34.016 678.204 Td /F1 9.0 Tf [(matrix theory, statistical physics, VLSI design etc. This book presents a wealth of results, from different mathematical disciplines, in a unified comprehensive manner, and establishes new and old links, which cannot be found elsewhere. It provides a unique and invaluable source for )] TJ ET
BT 34.016 667.215 Td /F1 9.0 Tf [(researchers and graduate students. From the Reviews: "This book is definitely a milestone in the literature of integer programming and combinatorial optimization. It draws from the Interdisciplinarity of these fields [...]. With knowledge about the relevant terms, one can enjoy special )] TJ ET
BT 34.016 656.226 Td /F1 9.0 Tf [(subsections without being entirely familiar with the rest of the chapter. This makes it not only an interesting research book but even a dictionary. [...] The longer one works with it, the more beautiful it becomes." Optima 56, 1997.)] TJ ET
BT 34.016 645.237 Td /F1 9.0 Tf [(Computer Mathematics)] TJ ET
0.18 w 0 J [ ] 0 d
34.016 643.752 m 127.040 643.752 l S
BT 127.040 645.237 Td /F1 9.0 Tf [( 1979 )] TJ ET
BT 34.016 634.248 Td /F1 9.0 Tf [(Government Reports Index)] TJ ET
BT 142.061 634.248 Td /F1 9.0 Tf [( 1971 )] TJ ET
BT 34.016 623.259 Td /F1 9.0 Tf [(Natural Function Algebras)] TJ ET
BT 138.056 623.259 Td /F1 9.0 Tf [( Charles E. Rickart 2012-12-06 The term "function algebra" usually refers to a uniformly closed algebra of complex valued continuous functions on a compact Hausdorff space. Such Banach alge bras, which are also called "uniform algebras", have been )] TJ ET
BT 34.016 612.270 Td /F1 9.0 Tf [(much studied during the 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 the work has been dominated by questions of analyticity in one form or another. In fact, the study of )] TJ ET
BT 34.016 601.281 Td /F1 9.0 Tf [(these special algebras and their generalizations accounts 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 general algebras of continuous func tions tend to exhibit certain )] TJ ET
BT 34.016 590.292 Td /F1 9.0 Tf [(properties that are strongly reminiscent of analyticity. Although there exist a variety of well-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 [RIl]. This result, one of the deepest )] TJ ET
BT 34.016 579.303 Td /F1 9.0 Tf [(and most elegant in the theory of function algebras, is an essential tool in the theory as we have developed it here. It holds for an arbitrary Banaeh algebra of £unctions defined on the spectrum \(maximal ideal space\) of the algebra. These are the algebras, along with appropriate )] TJ ET
BT 34.016 568.314 Td /F1 9.0 Tf [(generalizations to algebras defined on noncompact spaces, that we call "natural func tion algebras".)] TJ ET
BT 34.016 557.325 Td /F1 9.0 Tf [(Introduction to Lipschitz Geometry of Singularities)] TJ ET
BT 232.097 557.325 Td /F1 9.0 Tf [( Walter Neumann 2021-01-11 This book presents a broad overview of the important recent progress which led to the emergence of new ideas in Lipschitz geometry and singularities, and started to build bridges to several major )] TJ ET
BT 34.016 546.336 Td /F1 9.0 Tf [(areas of singularity theory. Providing all the necessary background in a series of introductory lectures, it also contains Pham and Teissier's previously unpublished pioneering work on the Lipschitz classification of germs of plane complex algebraic curves. While a real or complex )] TJ ET
BT 34.016 535.347 Td /F1 9.0 Tf [(algebraic variety is topologically locally conical, it is in general not metrically conical; there are parts of its link with non-trivial topology which shrink faster than linearly when approaching the special point. The essence of the Lipschitz geometry of singularities is captured by the )] TJ ET
BT 34.016 524.358 Td /F1 9.0 Tf [(problem of building classifications of the germs up to local bi-Lipschitz homeomorphism. The Lipschitz geometry of a singular space germ is then its equivalence class in this category. The book is aimed at graduate students and researchers from other fields of geometry who are )] TJ ET
BT 34.016 513.369 Td /F1 9.0 Tf [(interested in studying the multiple open questions offered by this new subject.)] TJ ET
BT 34.016 502.380 Td /F1 9.0 Tf [(Fourier Series, Fourier Transform and Their Applications to Mathematical Physics)] TJ ET
BT 358.610 502.380 Td /F1 9.0 Tf [( Valery Serov 2018-08-31 This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences. Having )] TJ ET
BT 34.016 491.391 Td /F1 9.0 Tf [(outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts. The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some )] TJ ET
BT 34.016 480.402 Td /F1 9.0 Tf [(applications to PDEs and signal processing. The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrödinger and magnetic Schrödinger operations. The third part, Operator Theory and Integral )] TJ ET
BT 34.016 469.413 Td /F1 9.0 Tf [(Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, serves as an introduction to modern methods for classical )] TJ ET
BT 34.016 458.424 Td /F1 9.0 Tf [(theory of partial differential equations. Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engineering.)] TJ ET
BT 34.016 447.435 Td /F1 9.0 Tf [(Banach Spaces for Analysts)] TJ ET
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BT 146.570 447.435 Td /F1 9.0 Tf [( P. Wojtaszczyk 1996-08 This book is intended to be used with graduate courses in Banach space theory.)] TJ ET
BT 34.016 436.446 Td /F1 9.0 Tf [(Functional Analysis)] TJ ET
BT 111.542 436.446 Td /F1 9.0 Tf [( Peter D. Lax 2014-08-28 Includes sections on the spectral resolution and spectralrepresentation of self adjoint operators, invariant subspaces,strongly continuous one-parameter semigroups, the index ofoperators, the trace formula of Lidskii, the Fredholm )] TJ ET
BT 34.016 425.457 Td /F1 9.0 Tf [(determinant,and more. * Assumes prior knowledge of Naive set theory, linear algebra,point set topology, basic complex variable, and realvariables. * Includes an appendix on the Riesz representation theorem.)] TJ ET
BT 34.016 414.468 Td /F1 9.0 Tf [(Geometric Aspects of Functional Analysis)] TJ ET
BT 200.075 414.468 Td /F1 9.0 Tf [( Bo'az Klartag 2020-06-20 Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented )] TJ ET
BT 34.016 403.479 Td /F1 9.0 Tf [(are the Concentration of Measure 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 earliest examples of regularity and order in high dimensions. Central to the text is the study )] TJ ET
BT 34.016 392.490 Td /F1 9.0 Tf [(of the Poincaré and log-Sobolev functional inequalities, their reverses, and other inequalities, in which a crucial role is often played by convexity assumptions such as Log-Concavity. The concept and properties of Entropy form an important subject, with Bourgain's slicing problem )] TJ ET
BT 34.016 381.501 Td /F1 9.0 Tf [(and its variants drawing much attention. Constructions related to Convexity Theory are proposed and revisited, as well as inequalities that go beyond the Brunn–Minkowski theory. One of the major current research directions addressed is the identification of lower-dimensional )] TJ ET
BT 34.016 370.512 Td /F1 9.0 Tf [(structures with remarkable properties in rather arbitrary high-dimensional objects. In addition to functional analytic results, connections to Computer Science and to Differential Geometry are also discussed.)] TJ ET
BT 34.016 359.523 Td /F1 9.0 Tf [(Foundations of Chemical Reaction Network Theory)] TJ ET
BT 237.587 359.523 Td /F1 9.0 Tf [( Martin Feinberg 2019-01-31 This book provides an authoritative introduction to the rapidly growing field of chemical reaction network theory. In particular, the book presents deep and surprising theorems that relate the graphical )] TJ ET
BT 34.016 348.534 Td /F1 9.0 Tf [(and algebraic structure of a reaction network to qualitative properties of the intricate system of nonlinear differential equations that the network induces. Over the course of three main parts, Feinberg provides a gradual transition from a tutorial on the basics of reaction network )] TJ ET
BT 34.016 337.545 Td /F1 9.0 Tf [(theory, to a survey of some of its principal theorems, and, finally, to a discussion of the theory’s more technical aspects. Written with great clarity, this book will be of value to mathematicians and to mathematically-inclined biologists, chemists, physicists, and engineers who want to )] TJ ET
BT 34.016 326.556 Td /F1 9.0 Tf [(contribute to chemical reaction network theory or make use of its powerful results.)] TJ ET
BT 34.016 315.567 Td /F1 9.0 Tf [(Government Reports Announcements)] TJ ET
BT 185.081 315.567 Td /F1 9.0 Tf [( 1971-12-10 )] TJ ET
BT 34.016 304.578 Td /F1 9.0 Tf [(Functional Analysis)] TJ ET
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BT 111.542 304.578 Td /F1 9.0 Tf [( Theo Bühler 2018-08-08 It begins in Chapter 1 with an introduction to the necessary foundations, including the Arzelà–Ascoli theorem, elementary Hilbert space theory, and the Baire Category Theorem. Chapter 2 develops the three fundamental principles of )] TJ ET
BT 34.016 293.589 Td /F1 9.0 Tf [(functional analysis \(uniform boundedness, open mapping theorem, Hahn–Banach theorem\) and discusses reflexive spaces and the James space. Chapter 3 introduces the weak and weak topologies and includes the theorems of Banach–Alaoglu, Banach–Dieudonné, )] TJ ET
BT 34.016 282.600 Td /F1 9.0 Tf [(Eberlein–Šmulyan, Kre&ibreve;n–Milman, as well as an introduction to 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 compact operators, and it establishes the closed )] TJ ET
BT 34.016 271.611 Td /F1 9.0 Tf [(image theorem. Chapter 5 deals with the spectral theory of bounded linear operators. It introduces complex Banach and Hilbert spaces, the continuous functional calculus for self-adjoint and normal operators, the Gelfand spectrum, spectral measures, cyclic vectors, and the spectral )] TJ ET
BT 34.016 260.622 Td /F1 9.0 Tf [(theorem. Chapter 6 introduces unbounded operators and their duals. It establishes the closed image theorem in this setting and extends the functional calculus and spectral measure to unbounded self-adjoint operators on Hilbert spaces. Chapter 7 gives an introduction to strongly )] TJ ET
BT 34.016 249.633 Td /F1 9.0 Tf [(continuous semigroups and their infinitesimal generators. It includes foundational results about the dual semigroup and analytic semigroups, an exposition of measurable functions with values in a Banach space, and a discussion of solutions to the inhomogeneous equation and )] TJ ET
BT 34.016 238.644 Td /F1 9.0 Tf [(their regularity properties. The appendix 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 at the end of each chapter, this book can be used as a text for a one-or-two-)] TJ ET
BT 34.016 227.655 Td /F1 9.0 Tf [(semester course on functional analysis for beginning graduate students. Prerequisites are first-year analysis and linear algebra, as well as some foundational material from the second-year courses on point set topology, complex analysis in one variable, and measure and )] TJ ET
BT 34.016 216.666 Td /F1 9.0 Tf [(integration.)] TJ ET
BT 34.016 205.677 Td /F1 9.0 Tf [(Topology, Geometry, and Dynamics: V. A. Rokhlin-Memorial)] TJ ET
BT 274.586 205.677 Td /F1 9.0 Tf [( Anatoly M. Vershik 2021-08-30 Vladimir Abramovich Rokhlin \(8/23/1919–12/03/1984\) was one of the leading Russian mathematicians of the second part of the twentieth century. His main achievements were in algebraic )] TJ ET
BT 34.016 194.688 Td /F1 9.0 Tf [(topology, real algebraic geometry, and ergodic theory. The volume contains the proceedings of the Conference on Topology, Geometry, and Dynamics: V. A. Rokhlin-100, held from August 19–23, 2019, at The Euler International Mathematics Institute and the Steklov Institute of )] TJ ET
BT 34.016 183.699 Td /F1 9.0 Tf [(Mathematics, St. Petersburg, Russia. The articles deal with topology of manifolds, theory of cobordisms, knot theory, geometry of real algebraic manifolds and dynamical systems and related topics. The book also contains Rokhlin's biography supplemented with copies of actual )] TJ ET
BT 34.016 172.710 Td /F1 9.0 Tf [(very interesting documents.)] TJ ET
BT 34.016 161.721 Td /F1 9.0 Tf [(Government Reports Announcements & Index)] TJ ET
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BT 218.102 161.721 Td /F1 9.0 Tf [( 1971 )] TJ ET
BT 34.016 150.732 Td /F1 9.0 Tf [(A Qualitative Approach to Inverse Scattering Theory)] TJ ET
BT 241.610 150.732 Td /F1 9.0 Tf [( Fioralba Cakoni 2013-10-28 Inverse scattering theory is an important area of applied mathematics due to its central role in such areas as medical imaging , nondestructive testing and geophysical exploration. Until recently all )] TJ ET
BT 34.016 139.743 Td /F1 9.0 Tf [(existing algorithms for solving inverse scattering problems were based on using either a weak scattering assumption or on the use of nonlinear optimization techniques. The limitations of these methods have led in recent years to an alternative approach to the inverse scattering )] TJ ET
BT 34.016 128.754 Td /F1 9.0 Tf [(problem which avoids the incorrect model assumptions inherent in the use of weak scattering approximations as well as the strong a priori information needed in order to implement nonlinear optimization techniques. These new methods come under the general title of qualitative )] TJ ET
BT 34.016 117.765 Td /F1 9.0 Tf [(methods in inverse scattering theory and seek to determine an approximation to the shape of the scattering object as well as estimates on its material properties without making any weak scattering assumption and using essentially no a priori information on the nature of the )] TJ ET
BT 34.016 106.776 Td /F1 9.0 Tf [(scattering object. This book is designed to be an introduction to this new approach in inverse scattering theory focusing on the use of sampling methods and transmission eigenvalues. In order to aid the reader coming from a discipline outside of mathematics we have included )] TJ ET
BT 34.016 95.787 Td /F1 9.0 Tf [(background 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. This book is an updated and expanded version of an earlier book by the authors published by Springer titled )] TJ ET
BT 34.016 84.798 Td /F1 9.0 Tf [(Qualitative Methods in Inverse Scattering Theory Review of Qualitative Methods in Inverse Scattering Theory All in all, the authors do exceptionally well in combining such a wide variety of mathematical material and in presenting it in a well-organized and easy-to-follow fashion. This )] TJ ET
BT 34.016 73.809 Td /F1 9.0 Tf [(text certainly complements the growing body of work in inverse scattering and 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 bound volume. SIAM Review, 2006)] TJ ET
BT 34.016 62.820 Td /F1 9.0 Tf [(An Invitation to Modern Number Theory)] TJ ET
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BT 191.579 62.820 Td /F1 9.0 Tf [( Steven J. Miller 2006-03-26 In a manner accessible to beginning undergraduates, An Invitation to Modern Number Theory introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann )] TJ ET
BT 34.016 51.831 Td /F1 9.0 Tf [(Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory. Showing how experiments are used to test conjectures and prove theorems, the book allows students to do original work on such problems, often using little more than calculus \(though there are )] TJ ET
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BT 34.016 799.083 Td /F1 9.0 Tf [(numerous remarks for those with deeper backgrounds\). It shows students what number theory theorems are used for and what led to them and suggests problems for further research. Steven Miller and Ramin Takloo-Bighash introduce the problems and the computational skills )] TJ ET
BT 34.016 788.094 Td /F1 9.0 Tf [(required to numerically investigate them, providing background material \(from probability to statistics to Fourier analysis\) whenever necessary. They guide students through a variety of problems, ranging from basic number theory, cryptography, and Goldbach's Problem, to the )] TJ ET
BT 34.016 777.105 Td /F1 9.0 Tf [(algebraic structures of numbers and continued fractions, showing connections between these subjects and encouraging students 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 34.016 766.116 Td /F1 9.0 Tf [(predicting answers in number theory. Providing exercises, references to the background literature, and Web links to previous student research projects, An Invitation to Modern Number Theory can be used to teach a research seminar or a lecture class.)] TJ ET
BT 34.016 755.127 Td /F1 9.0 Tf [(Probability in Banach Spaces)] TJ ET
BT 151.070 755.127 Td /F1 9.0 Tf [( Michel Ledoux 2013-03-09 Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the )] TJ ET
BT 34.016 744.138 Td /F1 9.0 Tf [(main aspects of Probability in Banach spaces \(integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes\) and of some of their links to Geometry of Banach spaces \(via the type and cotype properties\). Its purpose is to )] TJ ET
BT 34.016 733.149 Td /F1 9.0 Tf [(present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques \(entropy and majorizing )] TJ ET
BT 34.016 722.160 Td /F1 9.0 Tf [(measures\). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.)] TJ ET
BT 34.016 711.171 Td /F1 9.0 Tf [(Hypocoercivity)] TJ ET
BT 92.525 711.171 Td /F1 9.0 Tf [( CŽdric Villani 2009-10-08 This memoir attempts at a systematic study of convergence to stationary state for certain classes of degenerate diffusive equations, taking the general form ${\\frac{\\partial f}{\\partial t}}+ L f =0$. The question is whether and how one can )] TJ ET
BT 34.016 700.182 Td /F1 9.0 Tf [(overcome the degeneracy by exploiting commutators.)] TJ ET
BT 34.016 689.193 Td /F1 9.0 Tf [(The Volume of Convex Bodies and Banach Space Geometry)] TJ ET
BT 276.134 689.193 Td /F1 9.0 Tf [( Gilles Pisier 1999-05-27 A self-contained presentation of results relating the volume of convex bodies and Banach space geometry.)] TJ ET
BT 34.016 678.204 Td /F1 9.0 Tf [(Current Programs)] TJ ET
BT 105.530 678.204 Td /F1 9.0 Tf [( 1975 )] TJ ET
BT 34.016 667.215 Td /F1 9.0 Tf [(The Parameterization Method for Invariant Manifolds)] TJ ET
BT 243.599 667.215 Td /F1 9.0 Tf [( Àlex Haro 2016-04-18 This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed )] TJ ET
BT 34.016 656.226 Td /F1 9.0 Tf [(points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. This book provides algorithms of computation and some practical details of their implementation. The methodology is illustrated with 12 )] TJ ET
BT 34.016 645.237 Td /F1 9.0 Tf [(detailed examples, many of them well known in the literature of 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 mathematicians, scientists and engineers interested in the theory )] TJ ET
BT 34.016 634.248 Td /F1 9.0 Tf [(and applications of computational dynamical systems.)] TJ ET
BT 36.266 602.186 Td /F1 8.0 Tf [(local-theory-of-banach-spaces-nyu-courant)] TJ ET
BT 899.948 602.393 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 964.860 602.186 Td /F1 8.0 Tf [(piushaven.tilburg.com)] TJ ET
BT 1042.668 602.393 Td /F1 8.0 Tf [( on December 6, 2022 by guest)] TJ ET
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