Dynamical Systems Iv Symplectic Geometry And Its Applications

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Dynamical Systems IV

V.I. Arnol'd,S.P. Novikov
Dynamical Systems IV Book PDF

Author : V.I. Arnol'd,S.P. Novikov
Publisher : Springer Science & Business Media
Page : 291 pages
File Size : 42,5 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662067932

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Dynamical Systems IV by V.I. Arnol'd,S.P. Novikov Pdf

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 IV

S.P. Novikov
Dynamical Systems IV Book PDF

Author : S.P. Novikov
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 53,5 Mb
Release : 2001-06-20
Category : Mathematics
ISBN : 3540626352

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Dynamical Systems IV by S.P. Novikov Pdf

From the reviews of the first edition:"... Here ... a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction." Mededelingen van het Wiskundig genootshap 1992

Dynamical Systems IV

V.I. Arnol'd,S.P. Novikov
Dynamical Systems IV Book PDF

Author : V.I. Arnol'd,S.P. Novikov
Publisher : Springer
Page : 344 pages
File Size : 52,8 Mb
Release : 2001-06-20
Category : Mathematics
ISBN : 3540626352

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Dynamical Systems IV by V.I. Arnol'd,S.P. Novikov Pdf

From the reviews of the first edition:"... Here ... a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction." Mededelingen van het Wiskundig genootshap 1992

Dynamical Systems IV

V.I. Arnol'd,S.P. Novikov
Dynamical Systems IV Book PDF

Author : V.I. Arnol'd,S.P. Novikov
Publisher : Springer
Page : 0 pages
File Size : 54,5 Mb
Release : 2001-06-20
Category : Mathematics
ISBN : 3540626352

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Dynamical Systems IV by V.I. Arnol'd,S.P. Novikov Pdf

From the reviews of the first edition:"... Here ... a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction." Mededelingen van het Wiskundig genootshap 1992

Dynamical System IV

Anonim
Dynamical System IV Book PDF

Author : Anonim
Publisher : Unknown
Page : 283 pages
File Size : 49,9 Mb
Release : 1990
Category : Geometric quantization
ISBN : 7506212609

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Dynamical System IV by Anonim Pdf

Dynamical Systems IV

Anonim
Dynamical Systems IV Book PDF

Author : Anonim
Publisher : Unknown
Page : 335 pages
File Size : 42,8 Mb
Release : 2001
Category : Celestial mechanics
ISBN : OCLC:47767721

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Dynamical Systems IV by Anonim Pdf

Structure of Dynamical Systems

J.M. Souriau
Structure of Dynamical Systems Book PDF

Author : J.M. Souriau
Publisher : Springer Science & Business Media
Page : 427 pages
File Size : 51,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461202813

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Structure of Dynamical Systems by J.M. Souriau Pdf

The aim of the book is to treat all three basic theories of physics, namely, classical mechanics, statistical mechanics, and quantum mechanics from the same perspective, that of symplectic geometry, thus showing the unifying power of the symplectic geometric approach. Reading this book will give the reader a deep understanding of the interrelationships between the three basic theories of physics. This book is addressed to graduate students and researchers in mathematics and physics who are interested in mathematical and theoretical physics, symplectic geometry, mechanics, and (geometric) quantization.

Dynamical Systems and Geometric Mechanics

Jared Maruskin
Dynamical Systems and Geometric Mechanics Book PDF

Author : Jared Maruskin
Publisher : Walter de Gruyter GmbH & Co KG
Page : 348 pages
File Size : 43,6 Mb
Release : 2018-08-21
Category : Science
ISBN : 9783110597806

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Dynamical Systems and Geometric Mechanics by Jared Maruskin Pdf

Introduction to Dynamical Systems and Geometric Mechanics provides a comprehensive tour of two fields that are intimately entwined: dynamical systems is the study of the behavior of physical systems that may be described by a set of nonlinear first-order ordinary differential equations in Euclidean space, whereas geometric mechanics explore similar systems that instead evolve on differentiable manifolds. The first part discusses the linearization and stability of trajectories and fixed points, invariant manifold theory, periodic orbits, Poincaré maps, Floquet theory, the Poincaré-Bendixson theorem, bifurcations, and chaos. The second part of the book begins with a self-contained chapter on differential geometry that introduces notions of manifolds, mappings, vector fields, the Jacobi-Lie bracket, and differential forms.

Algebraic Geometry IV

A.N. Parshin,I.R. Shafarevich
Algebraic Geometry IV Book PDF

Author : A.N. Parshin,I.R. Shafarevich
Publisher : Springer Science & Business Media
Page : 291 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783662030738

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Algebraic Geometry IV by A.N. Parshin,I.R. Shafarevich Pdf

Two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory, by well-known experts in the fields. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics and theoretical physics.

Dynamical Systems IX

D.V. Anosov
Dynamical Systems IX Book PDF

Author : D.V. Anosov
Publisher : Springer Science & Business Media
Page : 242 pages
File Size : 41,5 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662031728

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Dynamical Systems IX by D.V. Anosov Pdf

This volume is devoted to the "hyperbolic theory" of dynamical systems (DS), that is, the theory of smooth DS's with hyperbolic behaviour of the tra jectories (generally speaking, not the individual trajectories, but trajectories filling out more or less "significant" subsets in the phase space. Hyperbolicity the property that under a small displacement of any of a trajectory consists in point of it to one side of the trajectory, the change with time of the relative positions of the original and displaced points resulting from the action of the DS is reminiscent of the mot ion next to a saddle. If there are "sufficiently many" such trajectories and the phase space is compact, then although they "tend to diverge from one another" as it were, they "have nowhere to go" and their behaviour acquires a complicated intricate character. (In the physical literature one often talks about "chaos" in such situations. ) This type of be haviour would appear to be the opposite of the more customary and simple type of behaviour characterized by its own kind of stability and regularity of the motions (these words are for the moment not being used as a strict ter 1 minology but rather as descriptive informal terms). The ergodic properties of DS's with hyperbolic behaviour of trajectories (Bunimovich et al. 1985) have already been considered in Volume 2 of this series. In this volume we therefore consider mainly the properties of a topological character (see below 2 for further details).