Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers (Texts in the Mathematical Sciences) [Paperback]

P.M. Gadea (Author), J. Muñoz Masqué (Author)

Book Description

Publication Date: October 1, 2001 | ISBN-10: 1402001630 | ISBN-13: 978-1402001635 | Edition: 1

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-mémoire, especially for teachers and researchers on these topics. The book includes 50 figures.

Editorial Reviews

Review

`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 Jürgen Eichhorn

From the Back Cover

The present 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 compliment to the books on theory. A 42 page Formulary is included which can be useful as an aide-mémoire, even for teachers and researchers on those topics. Audience This book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics and some branches of engineering. --This text refers to an alternate Paperback edition.

Product Details

• Paperback: 493 pages
• Publisher: Springer; 1 edition (October 1, 2001)
• Language: English
• ISBN-10: 1402001630
• ISBN-13: 978-1402001635
• Product Dimensions: 9.4 x 6.4 x 0.9 inches
• Shipping Weight: 1.9 pounds
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #5,365,573 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

13 of 19 people found the following review helpful:

5.0 out of 5 stars This book rocks like Newton and Gauss...., May 29, 2003

By 

raymund aglipay (Monterey Park, CA United States) - See all my reviews

This review is from: Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers (Texts in the Mathematical Sciences) (Paperback)

Man, this is a very instructional manual that can help just about anyone having problems learning differential geometry. I give it two tangent vectors up.