Udvidet returret til d. 31. januar 2025

Bøger i Graduate Texts in Mathematics serien

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  • af Klaus Fritzsche & Hans Grauert
    1.121,95 kr.

    This introduction to the theory of complex manifolds covers the most important branches and methods in complex analysis of several variables while completely avoiding abstract concepts involving sheaves, coherence, and higher-dimensional cohomology.

  • af Wolfgang Arendt
    586,95 kr.

    This textbook introduces the study of partial differential equations using both analytical and numerical methods. By intertwining the two complementary approaches, the authors create an ideal foundation for further study. Motivating examples from the physical sciences, engineering, and economics complete this integrated approach.A showcase of models begins the book, demonstrating how PDEs arise in practical problems that involve heat, vibration, fluid flow, and financial markets. Several important characterizing properties are used to classify mathematical similarities, then elementary methods are used to solve examples of hyperbolic, elliptic, and parabolic equations. From here, an accessible introduction to Hilbert spaces and the spectral theorem lay the foundation for advanced methods. Sobolev spaces are presented first in dimension one, before being extended to arbitrary dimension for the study of elliptic equations. An extensive chapter on numerical methods focuses onfinite difference and finite element methods. Computer-aided calculation with Maple¿ completes the book. Throughout, three fundamental examples are studied with different tools: Poisson¿s equation, the heat equation, and the wave equation on Euclidean domains. The Black¿Scholes equation from mathematical finance is one of several opportunities for extension.Partial Differential Equations offers an innovative introduction for students new to the area. Analytical and numerical tools combine with modeling to form a versatile toolbox for further study in pure or applied mathematics. Illuminating illustrations and engaging exercises accompany the text throughout. Courses in real analysis and linear algebra at the upper-undergraduate level are assumed.

  • af M. Ram Murty
    742,95 kr.

    This informative and exhaustive study gives a problem-solving approach to the difficult subject of analytic number theory. The goal is to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods.

  • af Rajendra Bhatia
    827,95 kr.

    This book presents a substantial part of matrix analysis that is functional analytic in spirit. Topics covered include the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, and perturbation of matrix functions and matrix inequalities.

  • af Osman Güler
    785,95 kr.

    This book covers the fundamental principles of optimization in finite dimensions. It develops the necessary material in multivariable calculus both with coordinates and coordinate-free, so recent developments such as semidefinite programming can be dealt with.

  • af Gerd Grubb
    1.026,95 kr.

    This book gives an introduction to distribution theory, based on the work of Schwartz and of many other people. It is the first book to present distribution theory as a standard text. Each chapter has been enhanced with many exercises and examples.

  • af Adrian Bondy
    462,95 kr.

    The primary aim of this book is to present a coherent introduction to graph theory, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic treatment of the theory of graphs without sacrificing its intuitive and aesthetic appeal.

  • af Vladimir Turaev & Christian Kassel
    721,95 - 1.019,95 kr.

    The authors introduce the basic theory of braid groups, highlighting several definitions showing their equivalence. This is followed by a treatment of the relationship between braids, knots and links. Important results then look at linearity and orderability.

  • af Tom M. Apostol
    659,95 - 1.007,95 kr.

    A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function.

  • af Urs Stammbach & P. J. Hilton
    819,95 - 1.117,95 kr.

    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.

  • af Alexander Kechris
    830,95 kr.

    Descriptive set theory has been one of the main areas of research in set theory for almost a century. It includes a wide variety of examples, more than 400 exercises, and applications, in order to illustrate the general concepts and results of the theory.

  • af Christian Kassel
    1.131,95 kr.

    Here is an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld's recent fundamental contributions. It presents the quantum groups attached to SL2 as well as the basic concepts of the theory of Hopf algebras.

  • af Bela Bollobas
    676,95 kr.

    Presents an account of graph theory. Written with students of mathematics and computer science in mind, this book reflects the state of the subject and emphasizes connections with other branches of pure mathematics. It presents a survey of fresh topics and includes more than 600 exercises.

  • af Derek John Scott Robinson
    831,95 - 1.126,95 kr.

    The 15 chapters contain the following main topics: free groups and presentations, free products, decompositions, Abelian groups, finite permutation groups, representations of groups, finite and infinite soluble groups, group extensions, generalizations of nilpotent and soluble groups, finiteness properties."

  • af Dinakar Ramakrishnan & Robert J. Valenza
    1.117,95 kr.

    A modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasising harmonic analysis on topological groups. In fact, the subject matter at hand is germane not only to budding number theorists, but also to students of harmonic analysis or the representation theory of Lie groups.

  • af J.H. van Lint
    1.199,95 kr.

    One of the very interesting recent developments concerns binary codes defined by using codes over the alphabet 7l.4* There is so much interest in this area that a chapter on the essentials was added. In Chapter 2, a section on "Coding Gain" ( the engineer's justification for using error-correcting codes) was added.

  • af Frank W. Warner
    770,95 kr.

    Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds.

  • af Irwin Kra & Hershel M. Farkas
    820,95 - 1.117,95 kr.

    This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Topics covered include existence of meromorphic functions, the Riemann-Roch theorem, Abel's theorem, the Jacobi inversion problem, Noether's theorem, and the Riemann vanishing theorem.

  • af Raoul Bott
    776,95 kr.

    Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes.

  • af V. I. Arnold
    735,95 - 792,95 kr.

    This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

  • af Sheldon Axler
    636,95 kr.

    This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis.

  • af John M. Lee
    568,95 kr.

    It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.

  • af Manfred Einsiedler & Thomas Ward
    533,95 - 799,95 kr.

  • af John Lee
    786,95 kr.

    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.

  • af Ibrahim Assem
    602,95 kr.

    This textbook introduces the representation theory of algebras by focusing on two of its most important aspects: the Auslander-Reiten theory and the study of the radical of a module category. It then turns to the study of endomorphism algebras, leading on one hand to the definition of the Auslander algebra and on the other to tilting theory.

  • af Reinhard Diestel
    584,95 - 877,95 kr.

    The fourth edition of this standard textbook of modern graph theory has been revised, updated, and substantially extended. Covering all major recent developments, it can be used both as a reliable textbook for an introductory course and as a graduate text.

  • af Otto Forster
    914,95 kr.

    Based on the lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Munster, this book provides a modern introduction to this subject, presenting methods used in the study of complex manifolds in the special case of complex dimension one.

  • af William Arveson
    1.580,95 kr.

    This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces.

  • - with a View Toward Algebraic Geometry
    af David Eisenbud
    567,95 - 1.049,95 kr.

    This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics.

  • af Albert N. Shiryaev
    533,95 - 702,95 kr.

    This updated third edition of Shiryaev's work on probability contains a systematic treatment from the ground up, starting with intuitive ideas, then developing more sophisticated subjects. Examples are discussed in detail, and there are a large number of exercises.

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