191 books (10 pages) in this category

Algebraic Topology and Algebraic K-Theory (AM-113): Proceedings of a Symposium in Honor of John C. Moore. (AM-113)

by Browder, William

<p>This book contains accounts of talks held at a symposium in honor of John C. Moore in October 1983 at Princeton University, The work includes papers in classical homotopy theory, homological algebra, rational homotopy theory, algebraic ...

ISBN: 9781400882113

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An Algebraic Introduction to K-Theory

by Bruce A. Magurn

<p>This is an introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra (including Galois theory and modules over a principal ideal domain). The presentation is almost entirely self-contained, and is divided into

ISBN: 9781107085596

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An Extension of Casson's Invariant. (AM-126)

by Walker, Kevin

<p>This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the space of conjugacy classes of representations of p(X) ...

ISBN: 9781400882465

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An Interactive Introduction to Knot Theory

by Inga Johnson & Allison K. Henrich

<p>This well-written and engaging volume, intended for undergraduates, introduces knot theory, an area of growing interest in contemporary mathematics. The hands-on approach features many exercises to be completed by readers. Prerequisites are ...

ISBN: 9780486818740

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An Introduction to Invariants and Moduli

by Shigeru Mukai

Incorporated in this 2003 volume are the first two books in Mukai's series on moduli theory. The notion of a moduli space is central to geometry. However, its influence is not confined there; for example, the theory of moduli spaces is a crucial

ISBN: 9781316341841

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An Introduction to Inverse Limits with Set-valued Functions

by W.T. Ingram

<p>Inverse limits with set-valued functions are quickly becoming a popular topic of research due to their potential applications in dynamical systems and economics. This brief provides a concise introduction dedicated specifically to such ...

ISBN: 9781461444879

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An Introduction to Polynomial and Semi-Algebraic Optimization

by Jean Bernard Lasserre

<p>This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems (and some related problems) described by polynomials (and even semi-algebraic functions). In particular, the author explains

ISBN: 9781316234723

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Analysis of Quantised Vortex Tangle

by Alexander John Taylor

<p>In this thesis, the author develops numerical techniques for tracking and characterising the convoluted nodal lines in three-dimensional space, analysing their geometry on the small scale, as well as their global fractality and topological ...

ISBN: 9783319485560

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Analysis on Polish Spaces and an Introduction to Optimal Transportation

by D. J. H. Garling

<p>A large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given by a complete metric. This analysis is not only simpler than in the general case, but, more crucially, ...

ISBN: 9781108381956

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Applications of Topological Methods in Molecular Chemistry

by Remi Chauvin, Christine Lepetit, Bernard Silvi & others

<p>This is the first edited volume that features two important frameworks, Hückel and quantum chemical topological analyses. The contributors, which include an array of academics of international distinction, describe recent applications of such

ISBN: 9783319290225

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Automorphic Forms and Galois Representations: Volume 1

by Fred Diamond, Payman L. Kassaei & Minhyong Kim

<p>Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming to prominence via the celebrated Langlands program and Wiles' proof of Fermat's Last Theorem. This ...

ISBN: 9781316055236

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Automorphic Forms and Galois Representations: Volume 2

by Fred Diamond, Payman L. Kassaei & Minhyong Kim

<p>Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming to prominence via the celebrated Langlands program and Wiles' proof of Fermat's Last Theorem. This ...

ISBN: 9781316055243

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Automorphisms and Equivalence Relations in Topological Dynamics

by David B. Ellis & Robert Ellis

<p>Focusing on the role that automorphisms and equivalence relations play in the algebraic theory of minimal sets provides an original treatment of some key aspects of abstract topological dynamics. Such an approach is presented in this lucid ...

ISBN: 9781139949774

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Banach Space Theory

The Basis for Linear and Nonlinear Analysis

by Marián Fabian, Petr Habala, Petr Hájek & others

<p>Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and

ISBN: 9781441975157

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Banach Spaces of Continuous Functions as Dual Spaces

by H. G. Dales, F.K. Dashiell, Jr., A.T.-M. Lau & others

<p>This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K)  of continuous functions on a locally compact  space K as the main example.  The study of C_0(K) has been an important area of ...

ISBN: 9783319323497

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Boolean Representations of Simplicial Complexes and Matroids

by John Rhodes & Pedro V. Silva

<p>This self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory. The book illustrates these new tools to study

ISBN: 9783319151144

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Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes

by Andreas Recknagel & Volker Schomerus

<p>Boundary conformal field theory is concerned with a class of two-dimensional quantum field theories which display a rich mathematical structure and have many applications ranging from string theory to condensed matter physics. In particular, ...

ISBN: 9781107501713

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Braids, Links, and Mapping Class Groups. (AM-82)

by Birman, Joan S.

<p>The central theme of this study is Artin's braid group and the many ways that the notion of a braid has proved to be important in low-dimensional topology.</p> <p>In Chapter 1 the author is concerned with the concept of a braid as a group of ...

ISBN: 9781400881420

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Bulk and Boundary Invariants for Complex Topological Insulators

From K-Theory to Physics

by Emil Prodan & Hermann Schulz-Baldes

<p>This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry. Particular focus is on the stability of the topological ...

ISBN: 9783319293516

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Categorical Homotopy Theory

by Emily Riehl

<p>This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by which one typically first encounters homotopy (co)limits: either as derived ...

ISBN: 9781139949460

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