Analysis, Manifolds and Physics, Part 1: Basics

by Yvonne Choquet-Bruhat, Cécile Dewitt-Morette

This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled ``Connections on Principle Fibre Bundles'' which includes sections on holonomy, characteristic classes, invariant curvature integrals and problems on the geometry of gauge fields, monopoles, instantons, spin structure and spin connections. Many paragraphs have been rewritten, and examples and exercises added to ease the study of several chapters. The index includes over 130 entries.

Genres: Physics, Mathematics, Science

656 pages, Hardcover

First published January 1, 1982

About the author

Yvonne Choquet-Bruhat was a French mathematician and physicist. She made seminal contributions to the study of general relativity, by showing that the Einstein field equations can be put into the form of an initial value problem which is well-posed. In 2015, her breakthrough paper was listed by the journal Classical and Quantum Gravity as one of thirteen 'milestone' results in the study of general relativity, across the hundred years in which it had been studied.
Choquet-Bruhat was the first woman to be elected to the French Academy of Sciences and was a Grand Officer of the Légion d'honneur.

Reviews

[Alexandre Guay · Rating 5 out of 5]

Un excellent livre de référence, mais cependant pas adapté à l'apprentissage.

[Lulu]

mathematical physics - good to get ahold of these books and keep referring to them as needed