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ANALYSIS MANIFOLDS AND PHYSICS (2ND REVISED AND ENLARGED EDITION)
Y. Choquet-Bruhat, C. DeWitt-Morette
Twelve problems have been added to the first edition; four of them are supplements to problems in the first edition. The others deal with issues that have become important, since the first edition of Volume II, in recent developments of various areas of physics. All the problems have their foundations in volume 1 of the 2-Volume set Analysis, Manifolds and Physics. It would have been prohibitively expensive to insert the new problems at their respective places. They are grouped together at the end of this volume, their logical place is indicated by a number of parenthesis following the title.
Contents. Preface. Preface to the second edition. Preface. Contents. Conventions. I. Review of fundamental notions of analysis. II. Differential calculus on banach spaces. III. Differentiable manifolds. IV. Integration on manifolds. V. Riemannian manifolds, Kählerian manifolds. V bis. Connections on a principle fibre bundle. VI. Distributions. Supplements and additional problems. Subject Index. Errata to Part I.