Encyclopaedia of Mathematical Sciences – serie
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169 produkter
Graphs on Surfaces and Their Applications
Av Sergei K. Lando, Alexander K. Zvonkin m. fl.
Inbunden, 2003
2188 kr
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Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the appearance of entirely unexpected new applications …
Probability on Discrete Structures
Av Harry Kesten
Inbunden, 2003
1098 kr
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Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only …
Dynamical Systems I
Ordinary Differential Equations and Smooth Dynamical Systems
Av D.V. Anosov, S.Kh. Aranson m. fl.
Inbunden, 1988
1098 kr
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From the reviews: "The reading is very easy and pleasant for the non-mathematician, which is really noteworthy. The two chapters enunciate the basic principles of the field, ... indicate connections with other fields of mathematics and sketch the motivation behind the various concepts which are …
Topology I
General Survey
Inbunden, 1995
1098 kr
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Introduction In the present essay, we attempt to convey some idea of the skeleton of topology, and of various topological concepts. It must be said at once that, apart from the necessary minimum, the subject-matter of this survey does not indude that subdiscipline known as "general topology" - the …
Dynamical Systems V
Bifurcation Theory and Catastrophe Theory
Av V.I. Arnold, V.S. Afrajmovich m. fl.
Inbunden, 1994
1098 kr
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Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more …
Several Complex Variables
Function Theory in Classical Domains Complex Potential Theory
Av G. M. Khenkin, A.G. Vitushkin
Inbunden, 1994
879 kr
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This volume of the Encyclopaedia contains four parts each ofwhich being an informative survey of a topic in the field ofseveral complex variables. Thefirst deals with residuetheory and its applications to integrals depending onparameters, combinatorial sums and systems of algebraicequations. The …
Dynamical Systems VII
Integrable Systems Nonholonomic Dynamical Systems
Inbunden, 1993
1098 kr
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This book is another volume in the successful subseries "Dynamical Systems" of the Encyclopaedia of Mathematical Sciences. It focuses on new developments in the field of integrable systems and it provides a unique and comprehensive survey on new differential geometric and Lie-algebraic methods. …
Commutative Harmonic Analysis I
General Survey. Classical Aspects
Av V.P. Khavin, N.K. Nikol'skij
Inbunden, 1991
1098 kr
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This volume is the first in the series devoted to the commutative harmonic analysis, a fundamental part of the contemporary mathematics. The fundamental nature of this subject, however, has been determined so long ago, that unlike in other volumes of this publication, we have to start with simple …
Lie Groups and Lie Algebras I
Foundations of Lie Theory Lie Transformation Groups
Av V.V. Gorbatsevich, A.L. Onishchik m. fl.
Inbunden, 1993
1098 kr
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From the reviews: "..., the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a …
Representation Theory and Noncommutative Harmonic Analysis I
Fundamental Concepts. Representations of Virasoro and Affine Algebras
Inbunden, 1994
1098 kr
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Part I of this book is a short review of the classical part of representation theory. The main chapters of representation theory are discussed: representations of finite and compact groups, finite- and infinite-dimensional representations of Lie groups. It is a typical feature of this survey that …
Introduction to Modern Number Theory
Fundamental Problems, Ideas and Theories
Av Yu. I. Manin, Alexei A. Panchishkin
Inbunden, 2005
1861 kr
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"Introduction to Modern Number Theory" surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include …
Algebraic Transformation Groups and Algebraic Varieties
Proceedings of the conference Interesting Algebraic Varieties Arising in Algebraic Transformation Group Theory held at the Erwin Schrödinger Institute, Vienna, October 22–26, 2001
Inbunden, 2004
1098 kr
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The book covers topics in the theory of algebraic transformation groups and algebraic varieties which are very much at the frontier of mathematical research.
Control Theory from the Geometric Viewpoint
Av Andrei A. Agrachev, Yuri Sachkov
Inbunden, 2004
1752 kr
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This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view. The book is mainly based on graduate courses given by the first coauthor in the years 2000-2001 at the International School for Advanced Studies, Trieste, Italy. Mathematical …
Surfaces in 4-Space
Av Scott Carter, Seiichi Kamada m. fl.
Inbunden, 2004
1425 kr
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Surfaces in 4-Space, written by leading specialists in the field, discusses knotted surfaces in 4-dimensional space and surveys many of the known results in the area. Results on knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined …
Dynamics Beyond Uniform Hyperbolicity
A Global Geometric and Probabilistic Perspective
Av Christian Bonatti, Lorenzo J. Díaz m. fl.
Inbunden, 2004
1861 kr
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What is Dynamics about? In broad terms, the goal of Dynamics is to describe the long term evolution of systems for which an "infinitesimal" evolution rule is known. Examples and applications arise from all branches of science and technology, like physics, chemistry, economics, ecology, …
Projective Duality and Homogeneous Spaces
Inbunden, 2004
1534 kr
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Projective duality is a very classical notion naturally arising in various areas of mathematics, such as algebraic and differential geometry, combinatorics, topology, analytical mechanics, and invariant theory, and the results in this field were until now scattered across the literature. Thus the …
Linear Algebraic Monoids
Inbunden, 2005
1098 kr
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This solid volume discusses all the key topics in detail, including classification, orbit structure, representations, universal constructions, and abstract analogues. Open problems are discussed as they arise and many useful exercises are included.
Multiplicative Invariant Theory
Inbunden, 2005
1207 kr
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Multiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant theory, is of relatively recent vintage. The present text offers a coherent account of the basic results achieved thus far..Multiplicative invariant theory is intimately tied to integral …
Basic Notions of Algebra
Av Igor R. Shafarevich, Aleksej I. Kostrikin m. fl.
Inbunden, 2005
1861 kr
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§22. K-theory 230 A. Topological X-theory 230 Vector bundles and the functor Vec(X). Periodicity and the functors KJX). K(X) and t the infinite-dimensional linear group. The symbol of an elliptic differential operator. The index theorem. B. Algebraic K-theory 234 The group of classes of projective …
Mathematical Aspects of Classical and Celestial Mechanics
Av Vladimir I. Arnold, Valery V. Kozlov m. fl.
Inbunden, 2006
2406 kr
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In this book we describe the basic principles, problems, and methods of cl- sical mechanics. Our main attention is devoted to the mathematical side of the subject. Although the physical background of the models considered here and the applied aspects of the phenomena studied in this book are …
Operator Algebras
Theory of C*-Algebras and von Neumann Algebras
Inbunden, 2005
2188 kr
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This volume attempts to give a comprehensive discussion of the theory of operator algebras (C*-algebras and von Neumann algebras. ) The volume is intended to serve two purposes: to record the standard theory in the Encyc- pedia of Mathematics, and to serve as an introduction and standard reference …
Cyclic Homology in Non-Commutative Geometry
Av Joachim Cuntz, Georges Skandalis m. fl.
Inbunden, 2003
1098 kr
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Cyclic homology was introduced in the early eighties independently by Connes and Tsygan. They came from different directions. Connes wanted to associate homological invariants to K-homology classes and to describe the index pair ing with K-theory in that way, while Tsygan was motivated by …
Geometry VI
Riemannian Geometry
Inbunden, 2001
1425 kr
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The original Russian edition of this book is the fifth in my series "Lectures on Geometry. " Therefore, to make the presentation relatively independent and self-contained in the English translation, I have added supplementary chapters in a special addendum (Chaps. 3Q-36), in which the necessary …
Dynamical Systems X
General Theory of Vortices
Inbunden, 2003
1643 kr
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The English teach mechanics as an experimental science, while on the Continent, it has always been considered a more deductive and a priori science. Unquestionably, the English are right. * H. Poincare, Science and Hypothesis Descartes, Leibnitz, and Newton As is well known, the basic principles of …
Theory of Operator Algebras I
Av M. Takesaki
Inbunden, 2001
2188 kr
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Since its inception by von Neumann 70 years ago, the theory of operator algebras has become a rapidly developing area of importance for the understanding of many areas of mathematics and theoretical physics. Accessible to the non-specialist, this first part of a three volume treatise provides a …
Classification of Nuclear C*-Algebras. Entropy in Operator Algebras
Av M. Rordam, E. Stormer
Inbunden, 2001
1098 kr
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to the Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The theory of von Neumann algebras was initiated in a series of papers by Murray and von Neumann in the 1930's and 1940's. A von Neumann algebra is a self-adjoint unital subalgebra M of the algebra of bounded operators …
Theory of Operator Algebras III
Inbunden, 2002
1970 kr
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to the Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The theory of von Neumann algebras was initiated in a series of papers by Murray and von Neumann in the 1930's and 1940's. A von Neumann algebra is a self-adjoint unital subalgebra M of the algebra of bounded operators …
Theory of Operator Algebras II
Inbunden, 2002
1970 kr
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to the Encyclopaedia Subseries on Operator Algebras and Non-Commutative Geometry The theory of von Neumann algebras was initiated in a series of papers by Murray and von Neumann in the 1930's and 1940's. A von Neumann algebra is a self-adjoint unital subalgebra M of the algebra of bounded operators …
Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action
Av A. Bialynicki-Birula, J. Carrell m. fl.
Inbunden, 2002
1098 kr
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This is the second volume of the new subseries "Invariant Theory and Algebraic Transformation Groups". The aim of the survey by A. Bialynicki-Birula is to present the main trends and achievements of research in the theory of quotients by actions of algebraic groups. This theory contains geometric …
Invariants of Homology 3-Spheres
Av Nikolai Saveliev, R.V. Gamkrelidze m. fl.
Inbunden, 2002
1534 kr
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Homology 3-sphere is a closed 3-dimensional manifold whose homology equals that of the 3-sphere. These objects may look rather special but they have played an outstanding role in geometric topology for the past fifty years. The book gives a systematic exposition of diverse ideas and methods in the …
