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  • Functional Analysis, Spectral Theory, and Applications

    Functional Analysis, Spectral Theory, and Applications
    av Manfred Einsiedler

    Inbunden - 2017 - Engelska - ISBN: 9783319585390

    This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory.In addition to discussing core material in functional analysis, the authors cover more recent and advanced…

  • Fourier Analysis and Its Applications

    Fourier Analysis and Its Applications
    av Anders Vretblad

    Inbunden - 2005 - Engelska - ISBN: 9780387008363

     A carefully prepared account of the basic ideas in Fourier analysis and its applications to the study of partial differential equations. The author succeeds to make his exposition accessible to readers with a limited background, for example, those…

  • Introduction to Smooth Manifolds

    Introduction to Smooth Manifolds
    av John Lee

    Inbunden - 2012 - Engelska - ISBN: 9781441999818

    This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent…

  • Mathematical Methods of Classical Mechanics

    Mathematical Methods of Classical Mechanics

    Inbunden - 1989 - Engelska - ISBN: 9780387968902

    Updated version of a classic text (first published 1974 in Russian, and 1978 in English translation) by a man who for several decades has been universally acknowledged to stand at the forefront of the effort to clarify the deep mathematical problems…

  • Lectures on the Hyperreals

    Lectures on the Hyperreals
    av Robert Goldblatt

    Häftad - 2012 - Engelska - ISBN: 9781461268413

    An introduction to nonstandard analysis based on a course given by the author. It is suitable for beginning graduates or upper undergraduates, or for self-study by anyone familiar with elementary real analysis. It presents nonstandard analysis not j…

  • Lectures on Polytopes

    Lectures on Polytopes
    av Gunter M. Ziegler

    Häftad - 2008 - Engelska - ISBN: 9780387943657

    Based on a graduate course at the Technische Universitat, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The straightforward exposition features many illustrations, and complete proofs for most theorems…

  • Abstract Algebra

    Abstract Algebra
    av Pierre Antoine Grillet

    Inbunden - 2007 - Engelska - ISBN: 9780387715674

    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…

  • Complex Analysis

    Complex Analysis
    av Serge Lang

    Inbunden - 1998 - Engelska - ISBN: 9780387985923

    This is the fourth edition of Serge Lang's Complex Analysis. The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic c…

  • Fourier Analysis and Its Applications

    Fourier Analysis and Its Applications
    av Anders Vretblad

    Häftad - 2010 - Engelska - ISBN: 9781441918413

    A carefully prepared account of the basic ideas in Fourier analysis and its applications to the study of partial differential equations. The author succeeds to make his exposition accessible to readers with a limited background, for example, those n…

  • A Course in Arithmetic

    A Course in Arithmetic
    av J-P. Serre

    Inbunden - 1996 - Engelska - ISBN: 9780387900407

    This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters conta…

  • Introduction to Smooth Manifolds

    Introduction to Smooth Manifolds
    av John Lee

    Häftad - 2012 - Engelska - ISBN: 9781489994752

    This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent…

  • Introduction to Topological Manifolds

    Introduction to Topological Manifolds
    av John Lee

    Inbunden - 2010 - Engelska - ISBN: 9781441979391

    This book is an introduction to manifolds at the beginning graduate level, and accessible to any student who has completed a solid undergraduate degree in mathematics. It contains the essential topological ideas that are needed for the further study…

  • Quantum Theory for Mathematicians

    Quantum Theory for Mathematicians
    av Brian C. Hall

    Inbunden - 2013 - Engelska - ISBN: 9781461471158

    Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mat…

  • Multiplicative Number Theory

    Multiplicative Number Theory

    Inbunden - 2000 - Engelska - ISBN: 9780387950976

    The new edition of this thorough examination of the distribution of prime numbers in arithmetic progressions offers many revisions and corrections as well as a new section recounting recent works in the field. The book covers many classical results,…

  • Classical Fourier Analysis

    Classical Fourier Analysis
    av Loukas Grafakos

    Häftad - 2010 - Engelska - ISBN: 9781441918550

    The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only…

  • Ergodic Theory

    Ergodic Theory
    av Manfred Einsiedler

    Inbunden - 2010 - Engelska - ISBN: 9780857290205

    This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence.Beginning by developing the basics of ergodic theory and progressing to describe some recent applicatio…

  • Ergodic Theory

    Ergodic Theory
    av Manfred Einsiedler

    Häftad - 2012 - Engelska - ISBN: 9781447125914

    This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence.Beginning by developing the basics of ergodic theory and progressing to describe some recent applicatio…

  • Modern Fourier Analysis

    Modern Fourier Analysis
    av Loukas Grafakos

    Häftad - 2010 - Engelska - ISBN: 9781441918567

    The great response to the publication of the book Classical and Modern Fourier Analysishasbeenverygratifying.IamdelightedthatSpringerhasofferedtopublish the second edition of this book in two volumes: Classical Fourier Analysis, 2nd Edition, and Mod…

  • Differential Topology

    Differential Topology
    av Morris W. Hirsch

    Inbunden - 1997 - Engelska - ISBN: 9780387901480

    "A very valuable book. In little over 200 pages, it presents a well-organized and surprisingly comprehensive treatment of most of the basic material in differential topology, as far as is accessible without the methods of algebraic topology....There…

  • 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…

  • Homotopical Topology

    Homotopical Topology
    av Anatoly Fomenko

    Inbunden - 2016 - Engelska - ISBN: 9783319234878

    This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand. The first English translation, done many decades ago, remains very much in demand, although it has been long out-of-print and i…

  • Graph Theory

    Graph Theory
    av Reinhard Diestel

    Inbunden - 2017 - Engelska - ISBN: 9783662536216

    This standard textbook of modern graph theory, now in its fifth edition, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject with concise yet…

  • Fermat's Last Theorem

    Fermat's Last Theorem
    av Harold M. Edwards

    Häftad - 2000 - Engelska - ISBN: 9780387950020

    This introduction to algebraic number theory via the famous problem of "Fermats Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummers theory of "ideal" factorization. The more elementary topics,…

  • Advanced Linear Algebra

    Advanced Linear Algebra
    av Steven Roman

    Inbunden - 2007 - Engelska - ISBN: 9780387728285

    This graduate level textbook covers an especially broad range of topics. The book first offers a careful discussion of the basics of linear algebra. It then proceeds to a discussion of modules, emphasizing a comparison with vector spaces, and presen…

  • 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…

  • An Introduction to the Theory of Groups

    An Introduction to the Theory of Groups
    av Joseph J. Rotman

    Inbunden - 1999 - Engelska - ISBN: 9780387942858

    Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains…

  • Lectures on Modules and Rings

    Lectures on Modules and Rings
    av Tsit-Yuen Lam

    Häftad - 2012 - Engelska - ISBN: 9781461268024

    This new book can be read independently from the first volume and may be used for lecturing, seminar- and self-study, or for general reference. It focuses more on specific topics in order to introduce readers to a wealth of basic and useful ideas wi…

  • Measure, Integration & Real Analysis

    Measure, Integration & Real Analysis
    av Sheldon Axler

    Inbunden - 2019 - Engelska - ISBN: 9783030331429

    This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Co…

  • Categories for the Working Mathematician

    Categories for the Working Mathematician
    av Saunders Mac Lane

    Inbunden - 1998 - Engelska - ISBN: 9780387984032

    This new edition includes a number of revisions and additions. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which…

  • Topology and Geometry

    Topology and Geometry
    av Glen E. Bredon

    Inbunden - 1993 - Engelska - ISBN: 9780387979267

    This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "A…

  • Sheaf Theory

    Sheaf Theory
    av Glen E. Bredon

    Inbunden - 1997 - Engelska - ISBN: 9780387949055

    Primarily concerned with the study of cohomology theories of general topological spaces with "general coefficient systems", the parts of sheaf theory covered here are those areas important to algebraic topology. Among the many innovations in this bo…

  • Cyclotomic Fields I and II

    Cyclotomic Fields I and II

    Häftad - 2012 - Engelska - ISBN: 9781461269724

    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…

  • Topics in Banach Space Theory

    Topics in Banach Space Theory
    av Fernando Albiac

    Häftad - 2010 - Engelska - ISBN: 9781441920997

    This book emphasizes the isomorphic theory of Banach spaces and techniques using the unifying viewpoint of basic sequences. Its aim is to provide the reader with the necessary technical tools and background to reach the frontiers of research without…

  • Unbounded Self-adjoint Operators on Hilbert Space

    Unbounded Self-adjoint Operators on Hilbert Space
    av Konrad Schmudgen

    Inbunden - 2012 - Engelska - ISBN: 9789400747524

    The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schroedinger operators) and analysis (Dirichlet and Neumann Laplacians,…

  • Unbounded Self-adjoint Operators on Hilbert Space

    Unbounded Self-adjoint Operators on Hilbert Space
    av Konrad Schmudgen

    Häftad - 2014 - Engelska - ISBN: 9789400797413

    The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schroedinger operators) and analysis (Dirichlet and Neumann Laplacians,…

  • A First Course in Noncommutative Rings

    A First Course in Noncommutative Rings
    av Tsit-Yuen Lam

    Inbunden - 2001 - Engelska - ISBN: 9780387951836

    Aimed at the novice rather than the connoisseur and stressing the role of examples and motivation, this text is suitable not only for use in a graduate course, but also for self-study in the subject by interested graduate students. More than 400 exe…

  • A First Course in Noncommutative Rings

    A First Course in Noncommutative Rings
    av Tsit-Yuen Lam

    Häftad - 2001 - Engelska - ISBN: 9780387953250

    Aimed at the novice rather than the connoisseur and stressing the role of examples and motivation, this text is suitable not only for use in a graduate course, but also for self-study in the subject by interested graduate students. More than 400 exe…

  • Elementary Methods in Number Theory

    Elementary Methods in Number Theory
    av Melvyn B. Nathanson

    Häftad - 2013 - Engelska - ISBN: 9781475773927

    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…

  • Real and Abstract Analysis

    Real and Abstract Analysis
    av Edwin Hewitt

    Häftad - 2013 - Engelska - ISBN: 9781468498905

    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…

  • Elementary Functional Analysis

    Elementary Functional Analysis
    av Barbara MacCluer

    Inbunden - 2008 - Engelska - ISBN: 9780387855288

    Functional analysis arose in the early twentieth century and gradually, conquering one stronghold after another, became a nearly universal mathematical doctrine, not merely a new area of mathematics, but a new mathematical world view. Its appearance…

  • Harmonic Analysis on Semigroups

    Harmonic Analysis on Semigroups
    av C. van den Berg

    Inbunden - 1984 - Engelska - ISBN: 9780387909257

    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…

  • Distributions and Operators

    Distributions and Operators
    av Gerd Grubb

    Häftad - 2010 - Engelska - ISBN: 9781441927439

    This textbook gives an introduction to distribution theory with emphasis on applications using functional analysis. In more advanced parts of the book, pseudodi?erential methods are introduced. Distributiontheoryhasbeen developedprimarilytodealwithp…

  • Homology Theory

    Homology Theory
    av James W. Vick

    Inbunden - 1994 - Engelska - ISBN: 9780387941264

    This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. After the essentials of singular homology and some important applications are given, successive topics covered include att…

  • Partial Differential Equations

    Partial Differential Equations
    av Jurgen Jost

    Inbunden - 2012 - Engelska - ISBN: 9781461448082

    This book offers an ideal graduate-level introduction to the theory of partial differential equations. The first part of the book describes the basic mathematical problems and structures associated with elliptic, parabolic, and hyperbolic partial di…

  • Partial Differential Equations

    Partial Differential Equations
    av Jurgen Jost

    Häftad - 2014 - Engelska - ISBN: 9781493902477

    This book offers an ideal graduate-level introduction to the theory of partial differential equations. The first part of the book describes the basic mathematical problems and structures associated with elliptic, parabolic, and hyperbolic partial di…

  • Foundations of Optimization

    Foundations of Optimization
    av Osman Guler

    Häftad - 2012 - Engelska - ISBN: 9781461426479

    Optimization is everywhere. It is human nature to seek the best option among all that are available. Nature, too, seems to be guided by optimization|many laws of nature have a variational character. Among geometric gures in the plane with a xed peri…

  • Foundations of Optimization

    Foundations of Optimization
    av Osman Guler

    Inbunden - 2010 - Engelska - ISBN: 9780387344317

    Optimization is everywhere. It is human nature to seek the best option among all that are available. Nature, too, seems to be guided by optimization|many laws of nature have a variational character. Among geometric gures in the plane with a xed peri…

  • Essentials of Integration Theory for Analysis

    Essentials of Integration Theory for Analysis
    av Daniel W. Stroock

    Häftad - 2013 - Engelska - ISBN: 9781461429883

    'A Concise Introduction to the Theory of Integration' was once a best-selling Birkhauser title which published 3 editions. This manuscript is a substantial revision of the material. Chapter one now includes a section about the rate of convergence of…

  • Essentials of Integration Theory for Analysis

    Essentials of Integration Theory for Analysis
    av Daniel W. Stroock

    Inbunden - 2011 - Engelska - ISBN: 9781461411345

    'A Concise Introduction to the Theory of Integration' was once a best-selling Birkhauser title which published 3 editions. This manuscript is a substantial revision of the material. Chapter one now includes a section about the rate of convergence of…

  • Partial Differential Equations

    Partial Differential Equations
    av Jurgen Jost

    Häftad - 2010 - Engelska - ISBN: 9781441923806

    This book offers an ideal introduction to the theory of partial differential equations. It focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear problems. It also develops the…

  • Elements of Functional Analysis

    Elements of Functional Analysis

    Häftad - 2012 - Engelska - ISBN: 9781461271468

    This book presents the fundamental function spaces and their duals, explores operator theory and finally develops the theory of distributions up to significant applications such as Sobolev spaces and Dirichlet problems. Includes an assortment of wel…

  • Holomorphic Functions and Integral Representations in Several Complex Variables

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

    Inbunden - 1998 - Engelska - ISBN: 9780387962597

    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…

  • Diophantine Geometry

    Diophantine Geometry
    av Marc Hindry

    Häftad - 2000 - Engelska - ISBN: 9780387989815

    This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, t…

  • Diophantine Geometry

    Diophantine Geometry
    av Marc Hindry

    Inbunden - 2000 - Engelska - ISBN: 9780387989754

    This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, t…

  • A First Course in Modular Forms

    A First Course in Modular Forms
    av Fred Diamond

    Häftad - 2010 - Engelska - ISBN: 9781441920058

    This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex tori and as algebraic curves; modular curves as Riemann surfaces…

  • Lie Groups, Lie Algebras, and Their Representations

    Lie Groups, Lie Algebras, and Their Representations
    av V.S. Varadarajan

    Inbunden - 1984 - Engelska - ISBN: 9780387909691

    This book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I revised the notes substantially. It is the revised version that is now appearing in book form. The t…

  • Theory of Bergman Spaces

    Theory of Bergman Spaces
    av Hakan Hedenmalm

    Inbunden - 2000 - Engelska - ISBN: 9780387987910

    Fifteen years ago, most mathematicians who worked in the intersection of function theory and operator theory thought that progress on the Bergman spaces was unlikely, yet today the situation has completely changed. For several years, research intere…