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  • Modern Geometry- Methods and Applications

    Modern Geometry- Methods and Applications

    Häftad - 2012 - Engelska - ISBN: 9781461270119

    Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geo…

  • Introduction to Cyclotomic Fields

    Introduction to Cyclotomic Fields
    av Lawrence C. Washington

    Inbunden - 1996 - Engelska - ISBN: 9780387947624

    This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions. This edition contains a new chapter on the work of Thaine, Kolyvagin, and Rubin,…

  • Functions of One Complex Variable II

    Functions of One Complex Variable II
    av John B. Conway

    Inbunden - 1996 - Engelska - ISBN: 9780387944609

    This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable, the level being gauged for graduate students. It treats several topics in geometric function theory as well as…

  • Fundamentals of Algebraic Topology

    Fundamentals of Algebraic Topology
    av Steven H. Weintraub

    Häftad - 2016 - Engelska - ISBN: 9781493948857

    This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are pa…

  • Introduction to Affine Group Schemes

    Introduction to Affine Group Schemes
    av W.C. Waterhouse

    Häftad - 2011 - Engelska - ISBN: 9781461262190

    Ah Love! Could you and I with Him consl?ire To grasp this sorry Scheme of things entIre' KHAYYAM People investigating algebraic groups have studied the same objects in many different guises. My first goal thus has been to take three different viewpo…

  • Harmonic Analysis on Semigroups

    Harmonic Analysis on Semigroups
    av C. van den Berg

    Häftad - 2012 - Engelska - ISBN: 9781461270171

    The Fourier transform and the Laplace transform of a positive measure share, together with its moment sequence, a positive definiteness property which under certain regularity assumptions is characteristic for such expressions. This is formulated in…

  • A Course in Homological Algebra

    A Course in Homological Algebra
    av Peter J. Hilton

    Häftad - 2012 - Engelska - ISBN: 9781461264385

    Homological algebra has found a large number of applications in many fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. In the new edition of this broad introduction to…

  • Algebraic Function Fields and Codes

    Algebraic Function Fields and Codes
    av Henning Stichtenoth

    Inbunden - 2008 - Engelska - ISBN: 9783540768777

    This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions and Hasse-Weil's theorem as well as Goppa' s al…

  • Probability and Stochastics

    Probability and Stochastics
    av Erhan Cinlar

    Häftad - 2013 - Engelska - ISBN: 9781461428121

    This text is an introduction to the modern theory and applications of probability and stochastics. The style and coverage is geared towards the theory of stochastic processes, but with some attention to the applications. In many instances the gist o…

  • Probability and Stochastics

    Probability and Stochastics
    av Erhan Cinlar

    Inbunden - 2011 - Engelska - ISBN: 9780387878584

    This text is an introduction to the modern theory and applications of probability and stochastics. The style and coverage is geared towards the theory of stochastic processes, but with some attention to the applications. In many instances the gist o…

  • Buildings

    Buildings
    av Peter Abramenko

    Häftad - 2010 - Engelska - ISBN: 9781441927019

    This book treats Jacques Tit's beautiful theory of buildings, making that theory accessible to readers with minimal background. It covers all three approaches to buildings, so that the reader can choose to concentrate on one particular approach. Beg…

  • Algebraic Groups and Class Fields

    Algebraic Groups and Class Fields
    av Jean-Pierre Serre

    Inbunden - 1997 - Engelska - ISBN: 9780387966489

    Translation of the French Edition

  • Lectures in Abstract Algebra I

    Lectures in Abstract Algebra I
    av N. Jacobson

    Häftad - 2012 - Engelska - ISBN: 9781468473032

    The present volume is the first of three that will be published under the general title Lectures in Abstract Algebra. These vol umes are based on lectures which the author has given during the past ten years at the University of North Carolina, at T…

  • Functional Analysis, Calculus of Variations and Optimal Control

    Functional Analysis, Calculus of Variations and Optimal Control
    av Francis Clarke

    Häftad - 2015 - Engelska - ISBN: 9781447162100

    Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. Thi…

  • Functional Analysis, Calculus of Variations and Optimal Control

    Functional Analysis, Calculus of Variations and Optimal Control
    av Francis Clarke

    Inbunden - 2013 - Engelska - ISBN: 9781447148197

    Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. Thi…

  • Probability-1

    Probability-1
    av Albert N. Shiryaev

    Inbunden - 2016 - Engelska - ISBN: 9780387722054

    Advanced maths students have been waiting for this, the third edition of a text that deals with one of the fundamentals of their field. This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gr…

  • Harmonic Function Theory

    Harmonic Function Theory
    av Sheldon Axler

    Inbunden - 2001 - Engelska - ISBN: 9780387952185

    This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to i…

  • Algebraic Topology: An Introduction

    Algebraic Topology: An Introduction
    av William S. Massey

    Inbunden - 1990 - Engelska - ISBN: 9780387902715

    William S. Massey Professor Massey, born in Illinois in 1920, received his bachelor's degree from the University of Chicago and then served for four years in the U.S. Navy during World War II. After the War he received his Ph.D. from Princeton Unive…

  • Model Theory : An Introduction

    Model Theory : An Introduction
    av David Marker

    Inbunden - 2002 - Engelska - ISBN: 9780387987606

    Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures

  • An Introduction to Analysis

    An Introduction to Analysis
    av Arlen Brown

    Inbunden - 1994 - Engelska - ISBN: 9780387943695

    As its title indicates, this book is intended to serve as a textbook for an introductory course in mathematical analysis. In preliminary form the book has been used in this way at the University of Michigan, Indiana University, and Texas A&M Univers…

  • Topological Vector Spaces

    Topological Vector Spaces

    Häftad - 2012 - Engelska - ISBN: 9781461271550

    Intended as a systematic text on topological vector spaces, this text assumes familiarity with the elements of general topology and linear algebra. Similarly, the elementary facts on Hilbert and Banach spaces are not discussed in detail here, since…

  • Modern Fourier Analysis

    Modern Fourier Analysis
    av Loukas Grafakos

    Häftad - 2016 - Engelska - ISBN: 9781493950782

    This text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers modern topics and techniques in function spaces, atomic decompositions…

  • Probability Theory I

    Probability Theory I
    av M. Loeve

    Häftad - 2012 - Engelska - ISBN: 9781468494662

    This fourth edition contains several additions. The main ones con cern three closely related topics: Brownian motion, functional limit distributions, and random walks. Besides the power and ingenuity of their methods and the depth and beauty of thei…

  • Elliptic Functions

    Elliptic Functions
    av Serge Lang

    Inbunden - 1987 - Engelska - ISBN: 9780387965086

    Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. The book is divided into four parts. In the f…

  • Spaces of Holomorphic Functions in the Unit Ball

    Spaces of Holomorphic Functions in the Unit Ball
    av Kehe Zhu

    Häftad - 2010 - Engelska - ISBN: 9781441919618

    Can be used as a graduate textContains many exercisesContains new results

  • Differential Geometry

    Differential Geometry
    av R.W. Sharpe

    Inbunden - 2000 - Engelska - ISBN: 9780387947327

    Cartan geometries were the first examples of connections on a principal bundle. They seem to be almost unknown these days, in spite of the great beauty and conceptual power they confer on geometry. The aim of the present book is to fill the gap in t…

  • Elementary Methods in Number Theory

    Elementary Methods in Number Theory
    av Melvyn B. Nathanson

    Inbunden - 1999 - Engelska - ISBN: 9780387989129

    This basic introduction to number theory is ideal for those with no previous knowledge of the subject. The main topics of divisibility, congruences, and the distribution of prime numbers are covered. Of particular interest is the inclusion of a proo…

  • The Geometry of Discrete Groups

    The Geometry of Discrete Groups
    av Alan F. Beardon

    Häftad - 2012 - Engelska - ISBN: 9781461270225

    This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations. The subject matter has now been studied with changing points of emphasis for over a hundred years, the most recent developm…

  • One-Parameter Semigroups for Linear Evolution Equations

    One-Parameter Semigroups for Linear Evolution Equations
    av Klaus-Jochen Engel

    Häftad - 2013 - Engelska - ISBN: 9781475774092

    This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra…

  • Real and Abstract Analysis

    Real and Abstract Analysis
    av Edwin Hewitt

    Inbunden - 1975 - Engelska - ISBN: 9780387901381

    This book is first of all designed as a text for the course usually called "theory of functions of a real variable". This course is at present cus tomarily offered as a first or second year graduate course in United States universities, although the…

  • An Introduction to Riemann-Finsler Geometry

    An Introduction to Riemann-Finsler Geometry
    av D. Bao

    Inbunden - 2000 - Engelska - ISBN: 9780387989488

    This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interp…

  • Mathematical Logic

    Mathematical Logic
    av J.D. Monk

    Häftad - 2012 - Engelska - ISBN: 9781468494549

    From the Introduction: "We shall base our discussion on a set-theoretical foundation like that used in developing analysis, or algebra, or topology. We may consider our task as that of giving a mathematical analysis of the basic concepts of logic an…

  • Number Theory

    Number Theory
    av Henri Cohen

    Inbunden - 2007 - Engelska - ISBN: 9780387498935

    This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or…

  • Additive Number Theory: Inverse Problems and the Geometry of Sumsets

    Additive Number Theory: Inverse Problems and the Geometry of Sumsets
    av Melvyn B. Nathanson

    Inbunden - 1996 - Engelska - ISBN: 9780387946559

    Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By cont…

  • Field Theory

    Field Theory
    av Steven Roman

    Häftad - 2011 - Engelska - ISBN: 9781441920959

    "Springer has just released the second edition of Steven Roman's Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there....Every section of the book has a number of good exercises that would make t…

  • Field Theory

    Field Theory
    av Steven Roman

    Inbunden - 2005 - Engelska - ISBN: 9780387276779

    "Springer has just released the second edition of Steven Roman's Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there....Every section of the book has a number of good exercises that would make t…

  • An Introduction to Knot Theory

    An Introduction to Knot Theory
    av W.B.Raymond Lickorish

    Häftad - 2012 - Engelska - ISBN: 9781461268697

    A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology manoeuvres, combinatorics, and algebraic topology. Each topic is developed until significa…

  • A Course in Functional Analysis

    A Course in Functional Analysis
    av John B Conway

    Häftad - 2010 - Engelska - ISBN: 9781441930927

    This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional…

  • Holomorphic Functions and Integral Representations in Several Complex Variables

    Holomorphic Functions and Integral Representations in Several Complex Variables
    av R. Michael Range

    Häftad - 2010 - Engelska - ISBN: 9781441930781

    The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remar…

  • Algebra

    Algebra
    av William A. Adkins

    Häftad - 2012 - Engelska - ISBN: 9781461269489

    This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adve…

  • Basic Homological Algebra

    Basic Homological Algebra
    av M. Scott Osborne

    Inbunden - 2000 - Engelska - ISBN: 9780387989341

    From the reviews: "The book is well written. We find here many examples. Each chapter is followed by exercises, and at the end of the book there are outline solutions to some of them. [...] I especially appreciated the lively style of the book; [...…

  • SL2(R)

    SL2(R)
    av S. Lang

    Inbunden - 1998 - Engelska - ISBN: 9780387961989

    SL2(R) gives the student an introduction to the infinite dimensional representation theory of semisimple Lie groups by concentrating on one example - SL2(R). This field is of interest not only for its own sake, but for its connections with other are…

  • Harmonic Function Theory

    Harmonic Function Theory
    av Sheldon Axler

    Häftad - 2010 - Engelska - ISBN: 9781441929112

    This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to i…

  • Introduction to Algebraic and Abelian Functions

    Introduction to Algebraic and Abelian Functions
    av Serge Lang

    Inbunden - 1995 - Engelska - ISBN: 9780387907109

    Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory. For this revised edition, the material on theta functions has been expanded, and the example of the Fe…

  • A Course in Differential Geometry

    A Course in Differential Geometry
    av W. Klingenberg

    Häftad - 2013 - Engelska - ISBN: 9781461299257

    This English edition could serve as a text for a first year graduate course on differential geometry, as did for a long time the Chicago Notes of Chern mentioned in the Preface to the German Edition. Suitable references for ordin ary differential eq…

  • Algebraic Geometry

    Algebraic Geometry
    av Robin Hartshorne

    Häftad - 2010 - Engelska - ISBN: 9781441928078

    An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific exam…

  • Local Fields

    Local Fields

    Häftad - 2013 - Engelska - ISBN: 9781475756753

    The goal of this book is to present local class field theory from the cohomo logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. This theory is about extensions-primarily abelian-of "local" (i.e., compl…

  • Modern Geometry - Methods and Applications

    Modern Geometry - Methods and Applications

    Häftad - 2011 - Engelska - ISBN: 9781461287568

    This is the first volume of a three-volume introduction to modern geometry which emphasizes applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variation…

  • Classical Topology and Combinatorial Group Theory

    Classical Topology and Combinatorial Group Theory
    av John Stillwell

    Häftad - 2011 - Engelska - ISBN: 9781461287490

    In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's polyhedron formula, and knots, the student is led to expect that these picturesque ideas…

  • Algebra

    Algebra
    av Serge Lang

    Häftad - 2012 - Engelska - ISBN: 9781461265511

    This book is intended as a basic text for a one year course in algebra at the graduate level or as a useful reference for mathematicians and professionals who use higher-level algebra. This book successfully addresses all of the basic concepts of al…

  • Cyclotomic Fields I and II

    Cyclotomic Fields I and II

    Inbunden - 1989 - Engelska - ISBN: 9780387966717

    Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. However, the success of this general theory has tended to obscure special facts…

  • Abstract Algebra

    Abstract Algebra
    av Pierre Antoine Grillet

    Häftad - 2010 - Engelska - ISBN: 9781441924506

    A completely reworked new edition of this superb textbook. This key work is geared to the needs of the graduate student. It covers, with proofs, the usual major branches of groups, rings, fields, and modules. Its inclusive approach means that all of…

  • Analytic Number Theory

    Analytic Number Theory
    av Donald J. Newman

    Häftad - 2013 - Engelska - ISBN: 9781475771657

    Some of the central topics in number theory, presnted in a simple and concise fashion. The author covers an amazing amount of material, despite a leisurely pace and emphasis on readability. His heartfelt enthusiasm enables readers to see what is mag…