Overview

This book is a collection of 375 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 consisting 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-m moire, especially for teachers and researchers on these topics. The book includes 50 figures. A CD-ROM with Professor Angel Montesinos's application, Superficies, is also included. Audience: The book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics, and some branches of engineering.

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9781402001635

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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 JA1/4rgen Eichhorn

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