Analysis, Manifolds and Physics, Part 2: 92 Applications (Part II)

Yvonne Choquet-Bruhat; Cecile DeWitt-Morette

ISBN 10: 0444870717 / ISBN 13: 9780444870711

Published by North Holland, 1989

About this Item

**INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service.

Seller Inventory # ABE-14771786126

Bibliographic Details

• Title: Analysis, Manifolds and Physics, Part 2: 92 Applications (Part II)
• Publisher: North Holland
• Publication Date: 1989
• Language: English
• ISBN 10: 0444870717
• ISBN 13: 9780444870711
• Binding: Soft cover
• Edition: 1st Edition
• Condition: New
• Dust Jacket Condition: New

About this title

Synopsis

This second, companion volume contains 92 applications developing concepts and theorems presented or mentioned in the first volume. Introductions to and applications in several areas not previously covered are also included such as graded algebras with applications to Clifford algebras and (S)pin groups, Weyl Spinors, Majorana pinors, homotopy, supersmooth mappings and Berezin integration, Noether's theorems, homogeneous spaces with applications to Stiefel and Grassmann manifolds, cohomology with applications to (S)pin structures, Bäcklund transformations, Poisson manifolds, conformal transformations, Kaluza-Klein theories, Calabi-Yau spaces, universal bundles, bundle reduction and symmetry breaking, Euler-Poincaré characteristics, Chern-Simons classes, anomalies, Sobolev embedding, Sobolev inequalities, Wightman distributions and Schwinger functions.

The material included covers an unusually broad area and the choice of problems is guided by recent applications of differential geometry to fundamental problems of physics as well as by the authors' personal interests. Many mathematical tools of interest to physicists are presented in a self-contained manner, or are complementary to material already presented in part I. All the applications are presented in the form of problems with solutions in order to stress the questions the authors wished to answer and the fundamental ideas underlying applications. The answers to the solutions are explicitly worked out, with the rigor necessary for a correct usage of the concepts and theorems used in the book. This approach also makes part I accessible to a much larger audience.

The book has been enriched by contributions from Charles Doering, Harold Grosse, B. Kent Harrison, N.H. Ibragimov and Carlos Moreno, and collaborations with Ioannis Bakas, Steven Carlip, Gary Hamrick, Humberto La Roche and Gary Sammelmann.

Review

The book is the kind of mixed reference work and textbook that is most useful to the independent reader. ...These (parts I and II) books will come to be regarded as classics.
Physics Today
The book is very clear and well written. It should prove useful for graduate students and researchers in applications of differential geometry and distribution theory to physics and related fields.
Zentralblatt für Mathematik
... the book will be a most welcome addition to this exciting area of research and exposition.
Mathematical Reviews