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Dynamical Systems IV

2013-06-29 Mathematics
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Release : 2013-06-29
Genre : Mathematics
Kind : eBook
Book Rating : 935/5 ( reviews)

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Book Synopsis Dynamical Systems IV by : V.I. Arnol'd

Download or read book Dynamical Systems IV written by V.I. Arnol'd. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a snapshot of the mathematical foundations of classical and quantum mechanics from a contemporary mathematical viewpoint. It covers a number of important recent developments in dynamical systems and mathematical physics and places them in the framework of the more classical approaches; the presentation is enhanced by many illustrative examples concerning topics which have been of especial interest to workers in the field, and by sketches of the proofs of the major results. The comprehensive bibliographies are designed to permit the interested reader to retrace the major stages in the development of the field if he wishes. Not so much a detailed textbook for plodding students, this volume, like the others in the series, is intended to lead researchers in other fields and advanced students quickly to an understanding of the 'state of the art' in this area of mathematics. As such it will serve both as a basic reference work on important areas of mathematical physics as they stand today, and as a good starting point for further, more detailed study for people new to this field.

Dynamical Systems I

1994-06-01 Mathematics
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Release : 1994-06-01
Genre : Mathematics
Kind : eBook
Book Rating : 006/5 ( reviews)

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Book Synopsis Dynamical Systems I by : D.V. Anosov

Download or read book Dynamical Systems I written by D.V. Anosov. This book was released on 1994-06-01. Available in PDF, EPUB and Kindle. Book excerpt: 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 introduced.... What is particularly pleasant is the fact that the authors are quite successful in giving to the reader the feeling behind the demonstrations which are sketched. Another point to notice is the existence of an annotated extended bibliography and a very complete index. This really enhances the value of this book and puts it at the level of a particularly interesting reference tool. I thus strongly recommend to buy this very interesting and stimulating book." Journal de Physique

Dynamical Systems VII

2013-12-14 Mathematics
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Release : 2013-12-14
Genre : Mathematics
Kind : eBook
Book Rating : 96X/5 ( reviews)

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Book Synopsis Dynamical Systems VII by : V.I. Arnol'd

Download or read book Dynamical Systems VII written by V.I. Arnol'd. This book was released on 2013-12-14. Available in PDF, EPUB and Kindle. Book excerpt: A collection of five surveys on dynamical systems, indispensable for graduate students and researchers in mathematics and theoretical physics. Written in the modern language of differential geometry, the book covers all the new differential geometric and Lie-algebraic methods currently used in the theory of integrable systems.

Mathematical Methods of Classical Mechanics

2013-04-09 Mathematics
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Release : 2013-04-09
Genre : Mathematics
Kind : eBook
Book Rating : 637/5 ( reviews)

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Book Synopsis Mathematical Methods of Classical Mechanics by : V.I. Arnol'd

Download or read book Mathematical Methods of Classical Mechanics written by V.I. Arnol'd. This book was released on 2013-04-09. Available in PDF, EPUB and Kindle. Book excerpt: 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. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

Complex Analysis and Dynamical Systems VI

2016-05-19 Mathematics
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Release : 2016-05-19
Genre : Mathematics
Kind : eBook
Book Rating : 030/5 ( reviews)

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Book Synopsis Complex Analysis and Dynamical Systems VI by : Lawrence Zalcman

Download or read book Complex Analysis and Dynamical Systems VI written by Lawrence Zalcman. This book was released on 2016-05-19. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19–24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers range over a wide variety of topics in complex analysis, quasiconformal mappings, and complex dynamics. Taken together, the articles provide the reader with a panorama of activity in these areas, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 653) is devoted to partial differential equations, differential geometry, and radon transforms.

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