An introduction to differentiable manifolds and Riemannian geometry

Format Post in Mathematics BY Author Unknown

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An introduction to differentiable manifolds and Riemannian geometry Author Unknown is available to download

An introduction to differentiable manifolds and Riemannian geometry
Author Unknown
Type: eBook
Released: 1986
Publisher: Academic Press
Page Count: 445
Format: djvu
Language: English
ISBN-10: 0121160521
ISBN-13: 9780121160524
The second edition of this text has sold over 6,000 copies since publication in 1986 and this revision will make it even more useful.An introduction to differentiable ... Textbook This is the only book available that is approachable by "beginners" in this subject. It has become an essential introduction to the subject for mathematics students, engineers, physicists, and economists who need to learn how to apply these vital methods. It is also the only book that thoroughly reviews certain areas of advanced calculus that are necessary to understand the subject. Line and surface integrals Divergence and curl of vector fields --This text refers to the edition. From the Back Cover Differentiable manifolds abd the differential and integral calculus of their associated structures, such as vectors, tensors, and differential forms are of great importance in many areas of mathematics and its applications. Although basically and extension of advanced, or multivariable calculus, the leap from Euclidean space to manifolds can often be difficult. It takes time and patience, and it is easy to become mirred in abstraction and generalization. In this text the author draws on his extensive experience in teaching this subject to minimize these difficulties. The pace is relatively liesurely, inessential abstraction and generality are avoided, the essential ideas used from the prerequisite subjects are reviewed, and there is an abundance of accessible and carefully developed examples to illuminate new concepts and to motivate the reader by illustrating their power. There are more than 400 exercises for the reader. This book has been in constant, successful use for more than 25 years and has helped several generations of students as well as working mathemeticians, physicists and engineers to gain a good working knowledge of manifolds and to appreciate their importance, beauty and extensive applications. --This text refers to the edition.

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