Modern Differential Geometry For Physicists
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Modern Differential Geometry for Physicists
"The result is a book which provides a rapid initiation to the material in question with care and sufficient detail to allow the reader to emerge with a genuine familiarity with the foundations of these subjects".Mathematical Reviews"This book is carefully written, and attention is paid to rigor and relevant details The key notions are discussed with great care and from many points of view, which attenuates the shock of the formalism". Mathematical Reviews
Differential Geometry For Physicists
Author: Bo-yu Hou
language: en
Publisher: World Scientific Publishing Company
Release Date: 1997-10-31
This book is divided into fourteen chapters, with 18 appendices as introduction to prerequisite topological and algebraic knowledge, etc. The first seven chapters focus on local analysis. This part can be used as a fundamental textbook for graduate students of theoretical physics. Chapters 8-10 discuss geometry on fibre bundles, which facilitates further reference for researchers. The last four chapters deal with the Atiyah-Singer index theorem, its generalization and its application, quantum anomaly, cohomology field theory and noncommutative geometry, giving the reader a glimpse of the frontier of current research in theoretical physics.
A Course in Modern Mathematical Physics
Author: Peter Szekeres
language: en
Publisher: Cambridge University Press
Release Date: 2004-12-16
This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.