Mathematics-Dynamical Systems

Ergodic theory: Introductory lectures

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Title (user) : Ergodic theory: Introductory lecturesTitle (google) : Fourier Integral Operators and Partial Differential Equations Colloque International, Université de Nice, 1974ISBN : 0387071636,9780387071633DDC : 510/.8 s,515/.42LCC : QA3 .L28 no. 458,QA313 .L28...
Description

Title (user) : Ergodic theory: Introductory lectures

Title (google) : Fourier Integral Operators and Partial Differential Equations Colloque International, Université de Nice, 1974

ISBN : 0387071636,9780387071633

DDC : 510/.8 s,515/.42

LCC : QA3 .L28 no. 458,QA313 .L28 no. 458

GoogleBook ID : miPrswEACAAJ

OpenLibrary ID : OL5189767M

Edition : 1st

Series : Lecture Notes in Mathematics 0458

Authors (user) : Peter Walters

Authors (google) : Peter Walters

Publisher : Springer-Verlag

Language : English

Publication Date : 1975

Scanned : yes (300 DPI)

File Format : djvu

Categories : Differential equations, Partial


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Description (google) :
This is both a textbook and a monograph. It is partially based on a two-semester course, held by the author for third-year students in physics and mathematics at the University of Salerno, on analytical mechanics, differential geometry, symplectic manifolds and integrable systems.As a textbook, it provides a systematic and self-consistent formulation of Hamiltonian dynamics both in a rigorous coordinate language and in the modern language of differential geometry. It also presents powerful mathematical methods of theoretical physics, especially in gauge theories and general relativity.As a monograph, the book deals with the advanced research topic of completely integrable dynamics, with both finitely and infinitely many degrees of freedom, including geometrical structures of solitonic wave equations.

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