Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers: v. 23 (Kluwer Texts in the Mathematical Sciences) - Hardcover

From the reviews of the first edition: "I am convinced that this book, which is moreover very nicely edited, will not only be appreciated by students and teachers, but also by many researchers who are interested in the fascinating field of differential geometry and its applications, and who seek a deeper insight into the matter and a better acquaintance with its basic techniques."(Professor Frans Cantrijn in Mathematical Reviews, 2002) "This workbook is a really successful attempt to submit to the reader by very clever composed series of exercises and examples covering the whole area of manifolds, Lie groups, fibre bundles, and Riemannian geometry a deep understanding and feeling. The choice and order of the examples and exercises will be extraordinarily helpful and useful for any student or teacher of manifolds and differential geometry."(from the Prologue by Professor J??rgen Eichhorn) "This book is intended to cover the exercises of standard courses on analysis and algebra on differentiable manifolds ??? . There are quite many introductory books to modern differential geometry ??? . However, this book is the first one with completely solved problems on differentiable manifolds and therefore will be an excellent compliment to the books on theory. ??? We recommend this excellent book to both teachers and students of differential geometry and related topics." (G??bor Nagy, Acta Scientiarum Mathematicarum, Vol. 72, 2006)

This book is a collection of completely solved exercises on differentiable manifolds, Lie groups, fibre bundles, and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. It is the first book of completely solved problems on differentiable manifolds, and therefore will be a complement to the books on theory. A 42-page formulary is included which will be useful as an aide-memoire, especially for teachers and researchers on these topics. Audience: The book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics, and some branches of engineering.