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Geometrical Methods of Mathematical Physics

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Release : 1980-01-28
Genre : Science
Kind : eBook
Book Rating : 141/5 ( reviews)

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Book Synopsis Geometrical Methods of Mathematical Physics by : Bernard F. Schutz

Download or read book Geometrical Methods of Mathematical Physics written by Bernard F. Schutz. This book was released on 1980-01-28. Available in PDF, EPUB and Kindle. Book excerpt: In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.

Geometrical Methods of Mathematical Physics

Download Geometrical Methods of Mathematical Physics PDF Online Free

Author :
Release : 1980-01-28
Genre : Mathematics
Kind : eBook
Book Rating : 872/5 ( reviews)

GET EBOOK


Book Synopsis Geometrical Methods of Mathematical Physics by : Bernard F. Schutz

Download or read book Geometrical Methods of Mathematical Physics written by Bernard F. Schutz. This book was released on 1980-01-28. Available in PDF, EPUB and Kindle. Book excerpt: For physicists and applied mathematicians working in the fields of relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This book provides an introduction to the concepts and techniques of modern differential theory, particularly Lie groups, Lie forms and differential forms.

A Course in Modern Mathematical Physics

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Release : 2004-12-16
Genre : Mathematics
Kind : eBook
Book Rating : 601/5 ( reviews)

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Book Synopsis A Course in Modern Mathematical Physics by : Peter Szekeres

Download or read book A Course in Modern Mathematical Physics written by Peter Szekeres. This book was released on 2004-12-16. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.

Topology and Geometry for Physicists

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Release : 2013-08-16
Genre : Mathematics
Kind : eBook
Book Rating : 362/5 ( reviews)

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Book Synopsis Topology and Geometry for Physicists by : Charles Nash

Download or read book Topology and Geometry for Physicists written by Charles Nash. This book was released on 2013-08-16. Available in PDF, EPUB and Kindle. Book excerpt: Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. 1983 edition.

Mathematical Methods of Classical Mechanics

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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.

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