Preface. Chapters: I. Review of fundamental notions of analysis. II. Differential calculus on Banach spaces. III. Differentiable manifolds, finite dimensional case. IV. Integration on manifolds. V. Riemannian manifolds. Kahlerian manifolds. V bis. Connections on a principle fibre bundle. VI. Distributions. VII. Differentiable manifolds, infinite dimensional case. References. Symbols. Index.
Barry Simon ..This book belongs on the shelf of every mathematically inclined physicist and every mathematician who is interested in physics... The high quality of French mathematics, combined in this volume with the wide professional expertise of the authors in mathematical physics, has resulted in a work of great value. ... I can wholeheartedly recommend it to anyone who aspires to participate in the exciting developments in modern elementary particle physics and relativity. Physics Today ... The scope of the coverage is unusually wide and the material treated with more rigour than is customary in a mathematical physics text, because only then can the results be used correctly and fruitfully... Physikalische Berichte