The Arnold-Gelfand Mathematical Seminars, V. Arnold; I.M. Gelfand; Mikhail Smirnov; Vladimir

Автор: Arnold V. I.
Название: Mathematical Methods of Classical Mechanics
ISBN: 0387968903 ISBN-13(EAN): 9780387968902
Издательство: Springer
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Описание: 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.

Автор: Israel M. Gelfand; Vladimir S. Retakh
Название: The Gelfand Mathematical Seminars, 1996–1999
ISBN: 1461271029 ISBN-13(EAN): 9781461271024
Издательство: Springer
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Описание: Dedicated to the memory of Chih-Han Sah, this volume continues a long tradition of one of the most influential mathematical seminars of this century. A number of topics are covered, including combinatorial geometry, connections between logic and geometry, Lie groups, algebras and their representations.

Автор: Gelfand, Israel M.
Название: Collected papers iii
ISBN: 3642308139 ISBN-13(EAN): 9783642308130
Издательство: Springer
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Автор: Vladimir I. Arnold; E. Khukhro; Valery V. Kozlov;
Название: Mathematical Aspects of Classical and Celestial Mechanics
ISBN: 364206647X ISBN-13(EAN): 9783642066474
Издательство: Springer
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Описание: In its expanded and improved 3rd edition, this work describes the fundamental principles, problems, and methods of classical mechanics. The authors stress the working apparatus of classical mechanics, rather than its physical foundations or applications.

Автор: A.S. Fokas; I.M. Gelfand
Название: Algebraic Aspects of Integrable Systems
ISBN: 1461275350 ISBN-13(EAN): 9781461275350
Издательство: Springer
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Описание: Irene Dorfman died in Moscow on April 6, 1994, shortly after seeing her beautiful book on Dirac structures I]. The present volume contains a collection of papers aiming at celebrating her outstanding contributions to mathematics. Her most important discoveries are associated with the algebraic structures arising in the study of integrable equations. Most of the articles contained in this volume are in the same spirit. Irene, working as a student of Israel Gel'fand made the fundamental dis- covery that integrability is closely related to the existence of bi-Hamiltonian structures 2], 3]. These structures were discovered independently, and al- most simultaneously, by Magri 4] (see also 5]). Several papers in this book are based on this remarkable discovery. In particular Fokas, Olver, Rosenau construct large classes on integrable equations using bi-Hamiltonian struc- tures, Fordy, Harris derive such structures by considering the restriction of isospectral flows to stationary manifolds and Fuchssteiner discusses similar structures in a rather abstract setting.

Автор: Gelfand, Israel M. Kapranov, Mikhail Zelevinsky, A
Название: Discriminants, resultants, and multidimensional determinants
ISBN: 0817647708 ISBN-13(EAN): 9780817647704
Издательство: Springer
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Описание: Deals with the classical theory of resultants and discriminants.