Authors:V. I. Arnold, Arnold Vladimir, Maxim Kontsevich, Anto
Publisher: Amer Mathematical Society
Keywords: translations, series, society, mathematical, topology, american, pseudoperiodic
Number of Pages: 178
Published: 2000-01
List price: $93.00
ISBN-10: 082182094X
ISBN-13: 9780821820940

This volume offers an account of the present state of the art in pseudoperiodic topology---a young branch of mathematics, born at the boundary between the ergodic theory of dynamical systems, topology, and number theory. Related topics include the theory of algorithms, convex integer polyhedra, Morse inequalities, real algebraic geometry, statistical physics, and algebraic number theory. The book contains many new results. Most of the articles contain brief surveys on the topics, making the volume accessible to a broad audience. From the Preface by V.I. Arnold: "The authors

Author: Vladimir I. Arnold
Publisher: Springer
Keywords: textbook, springer, equations, differential, ordinary
Number of Pages: 334
Published: 1992-05-08
List price: $64.95
ISBN-10: 3540548130
ISBN-13: 9783540548133

There are dozens of books on ODEs, but none with the elegant geometric insight of Arnol’d’s book. Arnol’d puts a clear emphasis on the qualitative and geometric properties of ODEs and their solutions, rather than on theroutine presentation of algorithms for solving special classes of equations.Of course, the reader learns how to solve equations, but with much more understanding of the systems, the solutions and the techniques. Vector fields and one-parameter groups of transformations come right from the startand Arnol’d uses this "language" throughout the book. This fun

Authors:V.I. Arnold, Vladimir I. Arnold,
Publisher: Springer
Keywords: problems, arnold
Number of Pages: 620
Published: 2005-01-12
List price: $69.95
ISBN-10: 3540207481
ISBN-13: 9783540207481

Arnold’s Problems contains mathematical problems which have been brought up by Vladimir Arnold in his famous seminar at Moscow State University over several decades. In addition, there are problems published in his numerous papers and books. The invariable peculiarity of these problems was that mathematics was considered not as a game with deductive reasonings and symbols, but as a part of natural science (especially of physics), i.e. as an experimental science. Many of these problems are at the frontier of research still today and are still open, and even those that are mainly solved

Authors:Vladimir I. Arnold, Boris A. Khesin,
Publisher: Springer
Keywords: mathematical, sciences, applied, hydrodynamics, methods, topological
Number of Pages: 376
Published: 1998-04-13
List price: $109.00
ISBN-10: 038794947X
ISBN-13: 9780387949475

This book develops the differential geometrical and topological points of view in hydrodynamics. It discusses interactions of hydrodynamics with a wide variety of mathematical domains such as theory of lie groups, differential geometry, topology of knots, magnetic dynamo theory, calculus of variations and hamiltonian mechanics. The exposition contains extensive examples and figures, proofs of the main results, a survey of the recent achievements in (magneto)hydrodynamics and applications to hydrodynamic stability, dynamo theory and weather prediction. Topological methods in Hydrodynamics

Authors:Vladimir I. Arnold, Ludvig D. Faddeev, Yu. I. Manin,
Publisher: Springer
Keywords: century, twentieth, events, mathematical
Number of Pages: 545
Published: 2005-10-26
List price: $149.00
ISBN-10: 3540232354
ISBN-13: 9783540232353

This book contains several contributions on the most outstanding events in the development of 20th century mathematics, representing a wide variety of specialities in which Russian and Soviet mathematicians played a considerable role. The articles are written in an informal style, from mathematical philosophy to the description of the development of ideas, personal memories and give a unique account of personal meetings with famous mathematicians of 20th century mathematics who exerted great influence in its development. This book will be of great interest to mathematicians, who will enjoy see

Authors:V. Arnold, I.M. Gelfand, Mikhail Smirnov, Vladimir S.
Publisher: Birkhäuser Boston
Keywords: singularity, theory, geometry, seminars, gelfand, mathematical, arnold
Number of Pages: 300
Published: 1997-02-18
List price: $159.00
ISBN-10: 0817638830
ISBN-13: 9780817638832

Authors:Vladimir I. Arnold, Valery Kozlov, Anatoly I. Neisht
Publisher: Springer
Keywords: mathematical, encyclopaedia, sciences, mechanics, celestial, aspects, classical
Number of Pages: 518
Published: 2006-11-14
List price: $155.00
ISBN-10: 3540282467
ISBN-13: 9783540282464

This work describes the fundamental principles, problems, and methods of classical mechanics. The main attention is devoted to the mathematical side of the subject. The authors have endeavored to give an exposition stressing the working apparatus of classical mechanics. The book is significantly expanded compared to the previous edition. The authors have added two chapters on the variational principles and methods of classical mechanics as well as on tensor invariants of equations of dynamics. Moreover, various other sections have been revised, added or expanded. The main purpose of the book i