Differential Geometry and Mathematical Physics

Differential Geometry and Mathematical Physics
Author :
Publisher : Springer Science & Business Media
Total Pages : 766
Release :
ISBN-10 : 9789400753457
ISBN-13 : 9400753454
Rating : 4/5 (57 Downloads)

Book Synopsis Differential Geometry and Mathematical Physics by : Gerd Rudolph

Download or read book Differential Geometry and Mathematical Physics written by Gerd Rudolph and published by Springer Science & Business Media. This book was released on 2012-11-09 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.


Differential Geometry and Mathematical Physics Related Books

Differential Geometry and Mathematical Physics
Language: en
Pages: 766
Authors: Gerd Rudolph
Categories: Science
Type: BOOK - Published: 2012-11-09 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential
A Course in Modern Mathematical Physics
Language: en
Pages: 620
Authors: Peter Szekeres
Categories: Mathematics
Type: BOOK - Published: 2004-12-16 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.
Differential Geometry, Differential Equations, and Mathematical Physics
Language: en
Pages: 240
Authors: Maria Ulan
Categories: Mathematics
Type: BOOK - Published: 2021-02-12 - Publisher: Springer Nature

DOWNLOAD EBOOK

This volume presents lectures given at the Wisła 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place fr
Differential Geometry in Physics
Language: en
Pages: 372
Authors: Gabriel Lugo
Categories:
Type: BOOK - Published: 2021-10-15 - Publisher:

DOWNLOAD EBOOK

Differential Geometry in Physics is a treatment of the mathematical foundations of the theory of general relativity and gauge theory of quantum fields. The mate
Geometrical Methods of Mathematical Physics
Language: en
Pages: 272
Authors: Bernard F. Schutz
Categories: Science
Type: BOOK - Published: 1980-01-28 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativi