Graduate Studies in Mathematics – serie
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270 produkter
Algebra: Chapter 0
Av Paolo Aluffi
Häftad, 2009
1077 kr
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Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early …
Partial Differential Equations
Häftad, 2010
1203 kr
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This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a …
Differential Geometry, Lie Groups, and Symmetric Spaces
Häftad, 2001
1077 kr
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A great book ... a necessary item in any mathematical library"" -S. S. Chern, University of California ""A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics."" -Barrett O'Neill, University of California""This is obviously a very valuable and well …
Lectures on Differential Topology
Häftad, 2022
1035 kr
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This book gives a comprehensive introduction to the theory of smooth manifolds, maps, and fundamental associated structures with an emphasis on ``bare hands'' approaches, combining differential-topological cut-and-paste procedures and applications of transversality. In particular, the smooth …
Inequalities in Matrix Algebras
Av Eric Carlen
Häftad, 2025
1077 kr
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The theory of positive or completely positive maps from one matrix algebra to another is the mathematical theory underlying the quantum mechanics of finite systems, as well as much of quantum information and computing. Inequalities are fundamental to the subject, and a watershed event in its …
Introduction to the H-Principle
Av K. Cieliebak, Y. Eliashberg m. fl.
Häftad, 2024
1077 kr
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In differential geometry and topology one often deals with systems of partial differential equations as well as partial differential inequalities that have infinitely many solutions whatever boundary conditions are imposed. It was discovered in the 1950s that the solvability of differential …
Distribution of Prime Numbers
Häftad, 2020
1077 kr
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Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical research. Detailed …
Quantum Computation and Quantum Information
A Mathematical Perspective
Häftad, 2024
1077 kr
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This book presents the basics of quantum computing and quantum information theory. It emphasizes the mathematical aspects and the historical continuity of both algorithms and information theory when passing from classical to quantum settings.The book begins with several classical algorithms …
Course in Abstract Analysis
Inbunden, 2012
1640 kr
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This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core of measure theory, including an introduction to the Fourier transform. This material can easily be covered in a semester. The second half of …
Combinatorics: the Art of Counting
Häftad, 2021
1077 kr
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This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature …
Discrete Differential Geometry
Integrable Structure
Av Alexander I. Bobenko, Yuri B. Suris
Häftad, 2008
978 kr
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An emerging field of discrete differential geometry aims at the development of discrete equivalents of notions and methods of classical differential geometry. The latter appears as a limit of a refinement of the discretization. Current interest in discrete differential geometry derives not only …
Discovering Modern Set Theory, Part 1
The Basics
Av American Mathematical Society
Inbunden, 1995
1203 kr
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This book is an introduction to set theory for beginning graduate students who want to get a sound grounding in those aspects of set theory used extensively throughout other areas of mathematics. Topics covered include formal languages and models, the power and limitation of the Axiomatic Method, …
Algebraic Number Fields
Inbunden, 1995
1203 kr
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The book is directed toward students with a minimal background who want to learn class field theory for number fields. The only prerequisite for reading it is some elementary Galois theory. The first three chapters lay out the necessary background in number fields, such the arithmetic of fields, …
Ergodic Theory of Discrete Sample Paths
Inbunden, 1996
1203 kr
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This book is about finite-alphabet stationary processes, which are important in physics, engineering, and data compression. The focus is on the combinatorial properties of typical finite sample paths drawn from a stationary, ergodic process. A primary goal, only partially realized, is to develop a …
Discovering Modern Set Theory, Part 2
Set-Theoretic Tools for Every Mathematician
Av W. Just, Martin Weese
Inbunden, 1997
1203 kr
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This is the second volume of a two-volume graduate text in set theory. The first volume covered the basics of modern set theory and was addressed primarily to beginning graduate students. This second volume is intended as a bridge between introductory set theory courses and advanced monographs that …
Enveloping Algebras
Inbunden, 1996
1203 kr
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This book, which is the first systematic exposition of the algebraic approach to representations of Lie groups via representations of (or modules over) the corresponding universal enveloping algebras, turned out to be so well written that even today it remains one of the main textbooks and …
Lectures on Elliptic and Parabolic Equations in Holder Spaces
Av American Mathematical Society
Inbunden, 1996
1203 kr
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These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in Holder spaces. Krylov shows that this theory - including some issues of the theory of nonlinear equations - is based on some general and extremely powerful ideas and some simple …
Topics in Classical Automorphic Forms
Av American Mathematical Society
Inbunden, 1997
1203 kr
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This book is based on the notes from the graduate course given by the author at Rutgers University in the fall of 1994 and the spring of 1995. The main goal of the book is to acquaint the reader with various perspectives of the theory of automorphic forms. In addition to detailed and often …
Stochastic Analysis on Manifolds
Av Elton P. Hsu
Inbunden, 2002
1203 kr
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Probability theory has become a convenient language and a useful tool in many areas of modern analysis. The main purpose of this book is to explore part of this connection concerning the relations between Brownian motion on a manifold and analytical aspects of differential geometry. A dominant …
Foliations, Volume 1
Av American Mathematical Society
Inbunden, 1999
1203 kr
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This is the first of two volumes on the qualitative theory of foliations. This volume is divided into three parts. It is extensively illustrated throughout and provides a large number of examples. Part 1 is intended as a 'primer' in foliation theory. A working knowledge of manifold theory and …
Fundamentals of the Theory of Operator Algebras, Volume I
Elementary Theory
Av American Mathematical Society
Inbunden, 1997
4,0 utav 5 stjärnor. Totalt antal röster: (1)
1203 kr
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This work and ""Fundamentals of the Theory of Operator Algebras Volume II, Advanced Theory"" present an introduction to functional analysis and the initial fundamentals of $C^*$- and von Neumann algebra theory in a form suitable for both intermediate graduate courses and self-study. The authors …
Growth of Algebras and Gelfand-Kirillov Dimension
Av Günter R. Krause, Thomas H. Lenagan
Inbunden, 1999
1203 kr
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During the two decades that preceded the publication of the first edition of this book, the Gelfand-Kirillov dimension had emerged as a very useful and powerful tool for investigating non-commutative algebras. At that time, the basic ideas and results were scattered throughout various journal …
Foliations, Volume 2
Av Alberto Candel, Lawrence Conlon
Inbunden, 2003
1640 kr
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This is the second of two volumes on the qualitative theory of foliations. For this volume, the authors have selected three special topics: analysis on foliated spaces, characteristic classes of foliations, and foliated manifolds. Each of these is an example of deep interaction between foliation …
Theta Constants, Riemann Surfaces and the Modular Group
An Introduction with Applications to Uniformization Theorems, Partition Identities and Combinatorial Number Theory
Av American Mathematical Society
Inbunden, 2001
1640 kr
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There are incredibly rich connections between classical analysis and number theory. For instance, analytic number theory contains many examples of asymptotic expressions derived from estimates for analytic functions, such as in the proof of the Prime Number Theorem. In combinatorial number theory, …
Topics in Differential Geometry
Av American Mathematical Society
Inbunden, 2008
1640 kr
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This book treats the fundamentals of differential geometry: manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric actions, and symplectic and Poisson geometry. The layout of the material …
Dirac Operators in Riemannian Geometry
Av American Mathematical Society
Inbunden, 2000
1203 kr
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For a Riemannian manifold $M$, the geometry, topology and analysis are interrelated in ways that are widely explored in modern mathematics. Bounds on the curvature can have significant implications for the topology of the manifold. The eigenvalues of the Laplacian are naturally linked to the …
Options Pricing and Portfolio Optimization
Modern Methods of Financial Mathematics
Av American Mathematical Society
Inbunden, 2000
1203 kr
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Understanding and working with the current models of financial markets requires a sound knowledge of the mathematical tools and ideas from which they are built. Banks and financial houses all over the world recognize this and are avidly recruiting mathematicians, physicists, and other scientists …
Invitation to Operator Theory
Av American Mathematical Society
Inbunden, 2002
1640 kr
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This book offers a comprehensive and reader-friendly exposition of the theory of linear operators on Banach spaces and Banach lattices. Abramovich and Aliprantis give a unique presentation that includes many new developments in operator theory and also draws together results that are spread over …
Noncommutative Noetherian Rings
Av American Mathematical Society
Inbunden, 2001
1640 kr
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This is an updated edition of a work that was considered the definitive account in the subject area upon its initial publication by J. Wiley & Sons in 1987. It presents, within a wider context, a comprehensive account of noncommutative Noetherian rings. The author covers the major developments from …
Analysis
Av Elliott H. Lieb, Michael Loss
Inbunden, 2001
1203 kr
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Significantly revised and expanded, this new Second Edition provides readers at all levels - from beginning students to practicing analysts - with the basic concepts and standard tools necessary to solve problems of analysis, and how to apply these concepts to research in a variety of areas. …
