Cambridge Studies in Advanced Mathematics – serie
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263 produkter
Enumerative Combinatorics: Volume 1
Häftad, 2011
944 kr
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Richard Stanley's two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises, most with solutions, reflecting …
Galois Theories
Av Francis Borceux, George Janelidze
Häftad, 2008
1172 kr
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Starting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context, presenting work by Grothendieck in terms of separable algebras and then proceeding to the infinite-dimensional case, which requires considering topological Galois …
Equivariant Cohomology in Algebraic Geometry
Av David Anderson, William Fulton
Häftad, 2025
585 kr
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Equivariant cohomology has become an indispensable tool in algebraic geometry and in related areas including representation theory, combinatorial and enumerative geometry, and algebraic combinatorics. This text introduces the main ideas of the subject for first- or second-year graduate students in …
Multiplicative Number Theory II
Primes and Sieves
Av Hugh L. Montgomery, Robert C. Vaughan
Inbunden, 2026
1400 kr
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This long-anticipated work shares the aims of its celebrated companion: namely, to provide an introduction for students and a reference for researchers to the techniques, results, and terminology of multiplicative number theory. This volume builds on the earlier one (which served as an introduction …
Multiplicative Number Theory I
Classical Theory
Av Hugh L. Montgomery, Robert C. Vaughan
Inbunden, 2006
1710 kr
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Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular their finer distribution is closely connected with the Riemann hypothesis, the …
An Introduction to Homological Algebra
Av Charles A. Weibel, Bela Bollobas
Häftad, 1995
1041 kr
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The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie …
Multidimensional Real Analysis I
Differentiation
Av J. J. Duistermaat, J. A. C. Kolk
Inbunden, 2004
1726 kr
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Part one of the authors' comprehensive and innovative work on multidimensional real analysis. This book is based on extensive teaching experience at Utrecht University and gives a thorough account of differential analysis in multidimensional Euclidean space. It is an ideal preparation for students …
Basic Category Theory
Av Tom Leinster
Inbunden, 2014
5,0 utav 5 stjärnor. Totalt antal röster: (1)
911 kr
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At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable …
Analytic Combinatorics in Several Variables
Av Robin Pemantle, Mark C. Wilson m. fl.
Inbunden, 2024
1179 kr
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Discrete structures model a vast array of objects ranging from DNA sequences to internet networks. The theory of generating functions provides an algebraic framework for discrete structures to be enumerated using mathematical tools. This book is the result of 25 years of work developing analytic …
Calculus of Variations
Av Jürgen Jost, Xianqing Li-Jost
Häftad, 2008
1253 kr
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This textbook on the calculus of variations leads the reader from the basics to modern aspects of the theory. One-dimensional problems and the classical issues like Euler-Lagrange equations are treated, as are Noether's theorem, Hamilton-Jacobi theory, and in particular geodesic lines, thereby …
Langlands Correspondence for Loop Groups
Inbunden, 2007
1595 kr
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The Langlands Program was conceived initially as a bridge between Number Theory and Automorphic Representations, and has now expanded into such areas as Geometry and Quantum Field Theory, tying together seemingly unrelated disciplines into a web of tantalizing conjectures. A new chapter to this …
Real Analysis and Probability
Av R. M. Dudley, Bela Bollobas m. fl.
Häftad, 2002
1025 kr
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This classic textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The first half of the book gives an exposition of real analysis: basic set theory, general topology, measure theory, integration, an …
Ultrametric Calculus
An Introduction to p-Adic Analysis
Av W. H. Schikhof, Bela Bollobas
Häftad, 2007
1,0 utav 5 stjärnor. Totalt antal röster: (1)
1270 kr
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This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject. Dr Schikhof is able to point out and explain how p-adic and 'real' analysis differ. This approach guarantees the reader quickly becomes acquainted with this …
Algebraic Homotopy
Häftad, 2008
1563 kr
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This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed from a few axioms and are thus available in a broad variety of contexts. Many examples and applications in topology and algebra are discussed, including an …
Geometric Control Theory
Häftad, 2008
1221 kr
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Geometric control theory is concerned with the evolution of systems subject to physical laws but having some degree of freedom through which motion is to be controlled. This book describes the mathematical theory inspired by the irreversible nature of time evolving events. The first part of the …
Positive Harmonic Functions and Diffusion
Häftad, 2008
1384 kr
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In this book, Professor Pinsky gives a self-contained account of the theory of positive harmonic functions for second order elliptic operators, using an integrated probabilistic and analytic approach. The book begins with a treatment of the construction and basic properties of diffusion processes. …
Introductory Lectures on Siegel Modular Forms
Häftad, 2008
911 kr
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From their inception, Siegel modular forms have been studied extensively because of their significance in both automorphic functions in several complex variables and number theory. The comprehensive theory of automorphic forms to subgroups of algebraic groups and the arithmetical theory of modular …
Cellular Structures in Topology
Av Rudolf Fritsch, Renzo Piccinini
Häftad, 2008
1067 kr
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This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and also …
Topics in Metric Fixed Point Theory
Av Kazimierz Goebel, W. A. Kirk
Häftad, 2008
1058 kr
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Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians. This book aims to offer the mathematical community an accessible, self-contained account which can be used as an introduction to the subject and its development. It will be understandable to a wide …
Absolutely Summing Operators
Av Joe Diestel, Hans Jarchow m. fl.
Häftad, 2008
1172 kr
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Many fundamental processes in analysis are best understood by studying and comparing the summability of series in various modes of convergence. This text provides the beginning graduate student, one with basic knowledge of real and functional analysis, with an account of p-summing and related …
Groups as Galois Groups
An Introduction
Häftad, 2008
911 kr
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This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group theory, algebraic geometry and number theory, topology, and analysis. Assuming only elementary …
Representations and Characters of Finite Groups
Häftad, 2008
927 kr
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Representation theory and character theory have proved essential in the study of finite simple groups since their early development by Frobenius. The author begins by presenting the foundations of character theory in a style accessible to advanced undergraduates requiring only a basic knowledge of …
Clifford Algebras and Dirac Operators in Harmonic Analysis
Av J. Gilbert, M. Murray
Häftad, 2008
1253 kr
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The aim of this book is to unite the seemingly disparate topics of Clifford algebras, analysis on manifolds and harmonic analysis. The authors show how algebra, geometry and differential equations all play a more fundamental role in Euclidean Fourier analysis than has been fully realized before. …
Modular Forms and Galois Cohomology
Av Haruzo Hida
Häftad, 2008
1188 kr
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This book provides a comprehensive account of a key (and perhaps the most important) theory upon which the Taylor-Wiles proof of Fermat's last theorem is based. The book begins with an overview of the theory of automorphic forms on linear algebraic groups and then covers the basic theory and …
Characteristic Classes and the Cohomology of Finite Groups
Av C. B. Thomas
Häftad, 2008
653 kr
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The purpose of this book is to study the relation between the representation ring of a finite group and its integral cohomology by means of characteristic classes. In this way it is possible to extend the known calculations and prove some general results for the integral cohomology ring of a group …
Cohomological Methods in Transformation Groups
Av Christopher Allday, Volker Puppe
Häftad, 2009
993 kr
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This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians …
The Logarithmic Integral: Volume 2
Av Paul Koosis
Häftad, 2009
1318 kr
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The theme of this work, the logarithmic integral, lies athwart much of twentieth-century analysis. It is a thread connecting many apparently separate parts of the subject, and so is a natural point at which to begin a serious study of real and complex analysis. Professor Koosis' aim is to show how, …
Complex Polynomials
Häftad, 2009
1253 kr
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This book studies the geometric theory of polynomials and rational functions in the plane. Any theory in the plane should make full use of the complex numbers and thus the early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology and analysis. In …
An Algebraic Introduction to Complex Projective Geometry
Commutative Algebra
Häftad, 2009
911 kr
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In this introduction to commutative algebra, the author leads the beginning student through the essential ideas, without getting embroiled in technicalities. The route chosen takes the reader quickly to the fundamental concepts for understanding complex projective geometry, the only prerequisites …
Cohomology of Drinfeld Modular Varieties, Part 2, Automorphic Forms, Trace Formulas and Langlands Correspondence
Häftad, 2009
1041 kr
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Cohomology of Drinfeld Modular Varieties provides an introduction, in two volumes, both to this subject and to the Langlands correspondence for function fields. These varieties are the analogues for function fields of the Shimura varieties over number fields. The Langlands correspondence is a …
