Graduate Texts in Mathematics – serie
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539 produkter
Introduction to Smooth Manifolds
Av John Lee
Inbunden, 2012
898 kr
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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 vectors and covectors, vector bundles, immersed …
Introduction to Riemannian Manifolds
Av John M. Lee
Häftad, 2021
341 kr
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This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. The second edition has been adapted, expanded, and aptly retitled from Lee’s earlier book, Riemannian Manifolds: An Introduction …
Measure, Integration & Real Analysis
Inbunden, 2019
5,0 utav 5 stjärnor. Totalt antal röster: (1)
600 kr
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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. Content is carefully curated to suit a single …
Complex Analysis
Av Serge Lang
Häftad, 2010
825 kr
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The present book is meant as a text for a course on complex analysis at the advanced undergraduate level, or first-year graduate level. The first half, more or less, can be used for a one-semester course addressed to undergraduates. The second half can be used for a second semester, at either …
Representation Theory
A First Course
Inbunden, 1991
1098 kr
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The primary goal of these lectures is to introduce a beginner to the finite dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see …
Algebraic Geometry
Inbunden, 1977
600 kr
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Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, Hartshorne became a Junior Fellow at Harvard, then taught there for several years. In 1972 he moved to …
Abstract Algebra
Häftad, 2010
606 kr
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About the first edition:“The text is geared to the needs of the beginning graduate student, covering with complete, well-written proofs the usual major branches of groups, rings, fields, and modules...[n]one of the material one expects in a book like this is missing, and the level of detail is …
Mathematical Methods of Classical Mechanics
Av V.I. Arnol'd
Inbunden, 1989
723 kr
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In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of …
Functions of One Complex Variable I
Häftad, 1994
552 kr
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This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. The actual pre requisites for reading this book are quite minimal; not much more than a stiff …
Fourier Analysis and Its Applications
Inbunden, 2003
574 kr
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TheclassicaltheoryofFourierseriesandintegrals,aswellasLaplacetra- forms, is of great importance for physical and technical applications, and its mathematical beauty makes it an interesting study for pure mathema- cians as well. I have taught courses on these subjects for decades to civil …
Graph Theory
Inbunden, 2024
898 kr
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This standard textbook on modern graph theory 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 complete proofs, while offering glimpses of more advanced methods in each …
Introduction to Knot Theory
Inbunden, 1997
661 kr
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This account is an introduction to mathematical knot theory, the theory of knots and links of simple closed curves in three-dimensional space. Knots can be studied at many levels and from many points of view. They can be admired as artifacts of the decorative arts and crafts, or viewed as …
Elliptic Curves
Inbunden, 2003
989 kr
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There are three new appendices, one by Stefan Theisen on the role of Calabi– Yau manifolds in string theory and one by Otto Forster on the use of elliptic curves in computing theory and coding theory. In the third appendix we discuss the role of elliptic curves in homotopy theory. In these three …
Algebraic Function Fields and Codes
Inbunden, 2008
984 kr
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15 years after the ?rst printing of Algebraic Function Fields and Codes,the mathematics editors of Springer Verlag encouraged me to revise and extend the book. Besides numerous minor corrections and amendments, the second edition di?ers from the ?rst one in two respects. Firstly I have included a …
Geometric Topology in Dimensions 2 and 3
Av E.E. Moise
Häftad, 2013
934 kr
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Geometric topology may roughly be described as the branch of the topology of manifolds which deals with questions of the existence of homeomorphisms. Only in fairly recent years has this sort of topology achieved a sufficiently high development to be given a name, but its beginnings are easy to …
Number Theory
Volume II: Analytic and Modern Tools
Av Henri Cohen
Inbunden, 2007
552 kr
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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 more generally in algebraic numbers. This theme, …
Advanced Topics in Computational Number Theory
Av Henri Cohen
Inbunden, 1999
1098 kr
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The computation of invariants of algebraic number fields such as integral bases, discriminants, prime decompositions, ideal class groups, and unit groups is important both for its own sake and for its numerous applications, for example, to the solution of Diophantine equations. The practical com …
Functions of One Complex Variable II
Häftad, 2012
443 kr
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This is the sequel to my book Functions of One Complex Variable I, and probably a good opportunity to express my appreciation to the mathemat ical community for its reception of that work. In retrospect, writing that book was a crazy venture. As a graduate student I had had one of the worst …
Functions of One Complex Variable II
Inbunden, 1995
538 kr
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This is the sequel to my book Functions of One Complex Variable I, and probably a good opportunity to express my appreciation to the mathemat ical community for its reception of that work. In retrospect, writing that book was a crazy venture. As a graduate student I had had one of the worst …
Representation Theory
A First Course
Häftad, 1991
1098 kr
Lägg i varukorg
The primary goal of these lectures is to introduce a beginner to the finite dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see …
Course in Functional Analysis
Inbunden, 1990
694 kr
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Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with …
Course in the Theory of Groups
Inbunden, 1995
1207 kr
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A Course in the Theory of Groups is a comprehensive introduction to the theory of groups - finite and infinite, commutative and non-commutative. Presupposing only a basic knowledge of modern algebra, it introduces the reader to the different branches of group theory and to its principal …
Number Theory
Volume I: Tools and Diophantine Equations
Av Henri Cohen
Inbunden, 2007
552 kr
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The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of …
Using Algebraic Geometry
Av David A. Cox, John Little m. fl.
Häftad, 2005
825 kr
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In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry. These algorithmic methods have also given rise to some exciting …
Field Theory
Av Steven Roman
Inbunden, 2005
989 kr
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Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third …
Differential Geometry
Connections, Curvature, and Characteristic Classes
Av Loring W. Tu
Häftad, 2018
607 kr
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This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern–Weil theory of characteristic classes on a principal …
Differential Forms in Algebraic Topology
Inbunden, 1982
606 kr
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The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Accord ingly, we move primarily in the realm of smooth manifolds and use the de Rham theory as a prototype of all of cohomology. For applications to …
Ergodic Dynamics
From Basic Theory to Applications
Av Jane Hawkins
Inbunden, 2021
758 kr
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This textbook provides a broad introduction to the fields of dynamical systems and ergodic theory. Motivated by examples throughout, the author offers readers an approachable entry-point to the dynamics of ergodic systems. Modern and classical applications complement the theory on topics ranging …
Introduction to Topological Manifolds
Av John Lee
Häftad, 2013
661 kr
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This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to …
Classical Topology and Combinatorial Group Theory
Inbunden, 1993
1098 kr
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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 will come to full flower in university topology …
