COMING SOON CANTOR MINIMAL SYSTEMS Ian F. Putnam Jun 2018 184pp 9781470441159 Paperback £39.95 / €45.00 University Lecture Series, Vol. 70 Within the subject of topological dynamics, there has been considerable recent interest in systems where the underlying topological space is a Cantor set. Such systems have an inherently combinatorial nature, and seminal ideas of Anatoly Vershik allowed for a combinatorial model, called the Bratteli-Vershik model, for such systems with no non-trivial closed invariant subsets. This model led to a construction of an ordered abelian group which is an algebraic invariant of the system providing a complete classification of such systems up to orbit equivalence. The goal of this book is to give a statement of this classification result and to develop ideas and techniques leading to it. COMING SOON VOLTERRA ADVENTURES Joel H. Shapiro Jun 2018 248pp 9781470441166 Paperback £47.50 / € 53.00 Student Mathematical Library, Vol.85 Introduces functional analysis to undergraduate mathematics students who possess a basic background in analysis and linear algebra. By studying how the Volterra operator acts on vector spaces of continuous functions, its readers will sharpen their skills, reinterpret what they already know, and learn fundamental Banach-space techniques—all in the pursuit of two celebrated results: the Titchmarsh Convolution Theorem and the Volterra Invariant Subspace Theorem. Exercises throughout the text enhance the material and facilitate interactive study. SPACES An Introduction to Real Analysis Tom L. Lindstrom Dec 2017 369pp 9781470440626 Hardback £80.95 / €90.00 Pure and Applied Undergraduate Texts, Vol. 29 Spaces is a modern introduction to real analysis at the advanced undergraduate level. It is forward-looking in the sense that it first and foremost aims to provide students with the concepts and techniques they need in order to follow more advanced courses in mathematical analysis and neighboring fields. The only prerequisites are a solid understanding of calculus and linear algebra. Two introductory chapters will help students with the transition from computation-based calculus to theory-based analysis. Analysis 2018 HIGHLIGHTS ALICE AND BOB MEET BANACH The Interface of Asymptotic Geometric Analysis and Quantum Information Theory Guillaume Aubrun & Stanislaw J. Szarek Oct 2017 413pp 9781470434687 Hardback £105.00 / €117.00 Mathematical Surveys and Monographs, Vol. 223 Alice and Bob Meet Banach is aimed at multiple audiences connected through their interest in the interface of QIT and AGA: at quantum information researchers who want to learn AGA or apply its tools; at mathematicians interested in learning QIT, especially the part that is relevant to functional analysis/convex geometry/random matrix theory and related areas; and at beginning researchers in either field. Moreover, this user-friendly book contains numerous tables and explicit estimates, with reasonable constants when possible, which make it a useful reference even for established mathematicians generally familiar with the subject. EIGENFUNCTIONS OF THE LAPLACIAN ON A RIEMANNIAN MANIFOLD Steve Zelditch Dec 2017 394pp 9781470410377 Paperback £71.95 / €80.00 CBMS Regional Conference Series in Mathematics, Vol. 125 Eigenfunctions of the Laplacian of a Riemannian manifold can be described in terms of vibrating membranes as well as quantum energy eigenstates. This book is an introduction to both the local and global analysis of eigenfunctions. The emphasis is on the global methods and the use of Fourier integral operator methods to analyse norms and nodal sets of eigenfunctions. A co-publication of the AMS and CBMS FROM THE BASIC HOMOTOPY LEMMA TO THE CLASSIFICATION OF C*-ALGEBRAS Huaxin Lin Oct 2017 240pp 9781470434908 Paperback £47.50 / €53.00 CBMS Regional Conference Series in Mathematics, Vol. 124 Examines some recent developments in the theory of C*- algebras, which are algebras of operators on Hilbert spaces. An elementary introduction to the technical part of the theory is given via a basic homotopy lemma concerning a pair of almost commuting unitaries. A co-publication of the AMS and CBMS GEOMETRY, DYNAMICS, AND FOLIATIONS 2013 In Honor of Steven Hurder and Takashi Tsuboi on the Occasion of Their 60th Birthdays Edited by Taro Asuke, Shigenori Matsumoto & Yoshihiko Mitsumatsu Nov 2017 451pp 9784864970402 Hardback £88.50 / €98.00 Advanced Studies in Pure Mathematics, Vol. 72 This volume is an outcome of the conference "Geometry and Foliations 2013", held in Tokyo in September 2013, and associated meetings. The volume provides an overview of present studies as well as some perspective for further studies. It is recommended to researchers and graduate students interested in the theories of foliations and related topics such as diffeomorphism groups and geometric group theory. A publication of the Mathematical Society of Japan AN INTRODUCTION TO THE THEORY OF HIGHER- DIMENSIONAL QUASICONFORMAL MAPPINGS Frederick W. Gehring, Gaven J. Martin & Bruce P. Palka Jul 2017 430pp 9780821843604 Hardback £105.00 / €117.00 Mathematical Surveys and Monographs, Vol 216 Offers a modern, up-to-date introduction to quasiconformal mappings from an explicitly geometric perspective, emphasizing both the extensive developments in mapping theory during the past few decades and the remarkable applications of geometric function theory to other fields, including dynamical systems, Kleinian groups, geometric topology, differential geometry, and geometric group theory. COMING SOON INTRODUCTION TO THE THEORY OF VALUATIONS Semyon Alesker Jul 2018 88pp 9781470443597 Paperback £47.50 / € 53.00 CBMS Regional Conference Series in Mathematics, Vol. 126 Theory of valuations on convex sets is a classical part of convex geometry which goes back at least to the positive solution of the third Hilbert problem by M. Dehn in 1900. Since then the theory has undergone a multifaceted development. The author discusses some of Hadwiger’s results on valuations on convex compact sets that are continuous in the Hausdorff metric. A co-publication of the AMS and CBMS
Transcript
COMING SOON CANTOR MINIMAL SYSTEMS Ian F. Putnam Jun 2018 184pp9781470441159 Paperback £39.95 / €45.00University Lecture Series, Vol. 70 Within the subject of topological dynamics,
there has been considerable recent interest in systems where the underlying topological space is a Cantor set. Such systems have an inherently combinatorial nature, and seminal ideas of Anatoly Vershik allowed for a combinatorial model, called the Bratteli-Vershik model, for such systems with no non-trivial closed invariant subsets. This model led to a construction of an ordered abelian group which is an algebraic invariant of the system providing a complete classification of such systems up to orbit equivalence. The goal of this book is to give a statement of this classification result and to develop ideas and techniques leading to it.
COMING SOON VOLTERRA ADVENTURES Joel H. ShapiroJun 2018 248pp9781470441166 Paperback £47.50 / € 53.00Student Mathematical Library, Vol.85 Introduces functional analysis to undergraduate mathematics students
who possess a basic background in analysis and linear algebra. By studying how the Volterra operator acts on vector spaces of continuous functions, its readers will sharpen their skills, reinterpret what they already know, and learn fundamental Banach-space techniques—all in the pursuit of two celebrated results: the Titchmarsh Convolution Theorem and the Volterra Invariant Subspace Theorem. Exercises throughout the text enhance the material and facilitate interactive study.
SPACESAn Introduction to Real AnalysisTom L. LindstromDec 2017 369pp9781470440626 Hardback £80.95 / €90.00Pure and Applied Undergraduate Texts, Vol. 29Spaces is a modern introduction to real analysis at the advanced
undergraduate level. It is forward-looking in the sense that it first and foremost aims to provide students with the concepts and techniques they need in order to follow more advanced courses in mathematical analysis and neighboring fields. The only prerequisites are a solid understanding of calculus and linear algebra. Two introductory chapters will help students with the transition from computation-based calculus to theory-based analysis.
Analysis 2018 HIGHLIGHTS
ALICE AND BOB MEET BANACH The Interface of Asymptotic Geometric Analysis and Quantum Information TheoryGuillaume Aubrun & Stanislaw J. SzarekOct 2017 413pp9781470434687 Hardback £105.00 / €117.00
Mathematical Surveys and Monographs, Vol. 223Alice and Bob Meet Banach is aimed at multiple audiences connected through their interest in the interface of QIT and AGA: at quantum information researchers who want to learn AGA or apply its tools; at mathematicians interested in learning QIT, especially the part that is relevant to functional analysis/convex geometry/random matrix theory and related areas; and at beginning researchers in either field. Moreover, this user-friendly book contains numerous tables and explicit estimates, with reasonable constants when possible, which make it a useful reference even for established mathematicians generally familiar with the subject.
EIGENFUNCTIONS OF THE LAPLACIAN ON A RIEMANNIAN MANIFOLDSteve ZelditchDec 2017 394pp9781470410377 Paperback £71.95 / €80.00CBMS Regional Conference Series in Mathematics, Vol. 125Eigenfunctions of the Laplacian of a Riemannian manifold can be described in terms of vibrating membranes as well as quantum energy eigenstates. This book is an introduction to both the local and global analysis of eigenfunctions. The emphasis is on the global methods and the use of Fourier integral operator methods to analyse norms and nodal sets of eigenfunctions.A co-publication of the AMS and CBMS
FROM THE BASIC HOMOTOPY LEMMA TO THE CLASSIFICATION OF C*-ALGEBRASHuaxin LinOct 2017 240pp9781470434908 Paperback £47.50 / €53.00CBMS Regional Conference Series in Mathematics, Vol. 124
Examines some recent developments in the theory of C*-algebras, which are algebras of operators on Hilbert spaces. An elementary introduction to the technical part of the theory is given via a basic homotopy lemma concerning a pair of almost commuting unitaries.A co-publication of the AMS and CBMS
GEOMETRY, DYNAMICS, AND FOLIATIONS 2013In Honor of Steven Hurder and Takashi Tsuboi on the Occasion of Their 60th BirthdaysEdited by Taro Asuke, Shigenori Matsumoto & Yoshihiko MitsumatsuNov 2017 451pp
9784864970402 Hardback £88.50 / €98.00Advanced Studies in Pure Mathematics, Vol. 72This volume is an outcome of the conference "Geometry and Foliations 2013", held in Tokyo in September 2013, and associated meetings. The volume provides an overview of present studies as well as some perspective for further studies. It is recommended to researchers and graduate students interested in the theories of foliations and related topics such as diffeomorphism groups and geometric group theory.A publication of the Mathematical Society of Japan
AN INTRODUCTION TO THE THEORY OF HIGHER-DIMENSIONAL QUASICONFORMAL MAPPINGSFrederick W. Gehring, Gaven J. Martin & Bruce P. PalkaJul 2017 430pp
9780821843604 Hardback £105.00 / €117.00Mathematical Surveys and Monographs, Vol 216Offers a modern, up-to-date introduction to quasiconformal mappings from an explicitly geometric perspective, emphasizing both the extensive developments in mapping theory during the past few decades and the remarkable applications of geometric function theory to other fields, including dynamical systems, Kleinian groups, geometric topology, differential geometry, and geometric group theory.
COMING SOON INTRODUCTION TO THE THEORY OF VALUATIONS Semyon AleskerJul 2018 88pp 9781470443597 Paperback £47.50 / € 53.00CBMS Regional Conference Series in Mathematics, Vol. 126
Theory of valuations on convex sets is a classical part of convex geometry which goes back at least to the positive solution of the third Hilbert problem by M. Dehn in 1900. Since then the theory has undergone a multifaceted development. The author discusses some of Hadwiger’s results on valuations on convex compact sets that are continuous in the Hausdorff metric.A co-publication of the AMS and CBMS
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PARTIAL DYNAMICAL SYSTEMS, FELL BUNDLES AND APPLICATIONSRuy ExelOct 2017 321pp9781470437855 Hardback £105.00 / €117.00Mathematical Surveys and Monographs, Vol. 224
One of the main results of the book states that every graded algebra satisfying suitable conditions may be reconstructed from a partial dynamical system via a process called the partial crossed product. Running in parallel with partial dynamical systems, partial representations of groups are also presented and studied in depth.
THE PROJECTIVE HEAT MAPRichard Evan SchwartzJun 2017 196pp9781470435141 Hardback £105.00 / €117.00Mathematical Surveys and Monographs, Vol. 219Introduces a simple dynamical model for a planar heat map
that is invariant under projective transformations. The map is defined by iterating a polygon map, where one starts with a finite planar N-gon and produces a new N-gon by a prescribed geometric construction. One of the appeals of the topic of this book is the simplicity of the construction that yet leads to deep and far reaching mathematics.
BESTSELLERS
ADVANCED CALCULUSSecond Edition Patrick M. Fitzpatrick2009 590pp9780821847916 Hardback £79.50 / €88.00Pure and Applied Undergraduate Texts, Vol. 5Suitable as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis, this book intends to present the fundamental concepts within the context of examples and exercises. It starts with the creation of basic tools using the completeness axiom.
ANALYSISElliott H. Lieb & Michael Loss 2001 348pp9780821827833 Hardback £43.95 / €49.00Graduate Studies in Mathematics, Vol. 14Presents the concepts and tools to solve problems of analysis, and shows how to apply these concepts to research in a variety of areas. This work covers the min-max principle, semi-classical approximation, coherent states and Lieb-Thirring inequalities. It also covers Sobolev Inequalities, including the Nash and Log Sobolev inequalities.
A COMPREHENSIVE COURSE IN ANALYSIS Barry Simon2015 Part 1: Real Analysis789pp 9781470410995 £85.00 / €105.00Part 2A: Basic Complex Analysis641pp 9781470411008 £85.00 / €105.00Part 2B: Advanced Complex Analysis321pp 9781470411015 £85.00 / €105.00Part 3: Harmonic Analysis759pp 9781470411022 £85.00 / €105.00Part 4: Operator Theory749pp 9781470411039 £85.00 / €105.005 Volume Set3,259pp 9781470410988 £325.00 / €375.00Written by Poincaré Prize winner Barry Simon, this is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis.
FOURIER ANALYSIS AND ITS APPLICATIONSGerald B. Folland2009 433pp9780821847909 Hardback £69.50 / €77.00Pure and Applied Undergraduate Texts, Vol. 4Presents the theory and
applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates. This title includes material on Bessel functions, orthogonal polynomials, and Laplace transforms.
AN INTRODUCTION TO MEASURE THEORY Terence Tao2011 206pp9780821869192 Hardback £50.95 / €57.00Graduate Studies in Mathematics, Vol. 126This graduate text introduces the fundamentals of measure theory and integration theory. It focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral, before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Caratheodory extension theorem. Classical differentiation theorems are also covered, as are connections with probability theory.
LECTURE NOTES ON FUNCTIONAL ANALYSISWith Applications to Linear Partial Differential EquationsAlberto Bressan2012 250pp9780821887714 Hardback £58.50 / €65.00
Graduate Studies in Mathematics, Vol. 143This textbook is addressed to graduate students in mathematics or other disciplines who wish to understand the essential concepts of functional analysis and their applications to partial differential equations. The book is intentionally concise, presenting all the fundamental concepts and results but omitting the more specialized topics.
PROBLEMS IN REAL AND FUNCTIONAL ANALYSISAlberto Torchinsky2015 467pp9781470420574 Hardback £71.95 / €80.00Graduate Studies in Mathematics, Vol. 166
The purpose of this book is to complement the existing literature in introductory real and functional analysis at the graduate level with a variety of conceptual problems (1,457 in total), ranging from easily accessible to thought provoking, mixing the practical and the theoretical. Problems are grouped into ten chapters covering the main topics usually taught in courses on real and functional analysis.
TOPICS IN OPTIMAL TRANSPORTATIONCédric Villani2003 370pp9780821833124 Hardback £62.95 / €70.00Graduate Studies in Mathematics, Vol. 58Presents a comprehensive introduction to the theory of mass transportation with its many - and sometimes unexpected - applications. This book defines the problem of 'optimal transportation' (or the transferring of mass with the least possible amount of work), with applications to engineering in mind.
WINDING AROUND The Winding Number in Topology, Geometry, and AnalysisJohn Roe2015 269pp9781470421984 Paperback £44.50 / €50.00Student Mathematical Library, Vol. 76
The winding number is one of the most basic invariants in topology. This title explores how the winding number can help us show that every polynomial equation has a root, guarantee a fair division of three objects in space by a single planar cut, explain why every simple closed curve has an inside and an outside, relate calculus to curvature and the singularities of vector fields, and allow one to subtract infinity from infinity and get a finite answer.
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