Introduction to Differentiable Manifolds and Riemannian Geometry (Pure and applied mathematics, a series of monographs and textbooks)

4 avg rating
( 12 ratings by Goodreads )
 
9780121160500: Introduction to Differentiable Manifolds and Riemannian Geometry (Pure and applied mathematics, a series of monographs and textbooks)

This is a revised printing of one of the classic mathematics texts published in the last 25 years. This revised edition includes updated references and indexes and error corrections and will continue to serve as the standard text for students and professionals in the field.Differential manifolds are the underlying objects of study in much of advanced calculus and analysis. Topics such as line and surface integrals, divergence and curl of vector fields, and Stoke's and Green's theorems find their most natural setting in manifold theory. Riemannian plane geometry can be visualized as the geometry on the surface of a sphere in which "lines" are taken to be great circle arcs.

"synopsis" may belong to another edition of this title.

From the Back Cover:

Differentiable manifolds and 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.

About the Author:

William Boothby received his Ph.D. at the University of Michigan and was a professor of mathematics for over 40 years. In addition to teaching at Washington University, he taught courses in subjects related to this text at the University of Cordoba (Argentina), the University of Strasbourg (France), and the University of Perugia (Italy).

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Boothby, William M.
Published by Academic Press Inc (1975)
ISBN 10: 0121160505 ISBN 13: 9780121160500
New Hardcover Quantity Available: 2
Seller
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Academic Press Inc, 1975. Hardcover. Book Condition: New. Bookseller Inventory # P110121160505

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 133.92
Convert Currency

Add to Basket

Shipping: US$ 2.99
Within U.S.A.
Destination, Rates & Speeds

2.

Boothby, William M.
Published by Academic Press Inc
ISBN 10: 0121160505 ISBN 13: 9780121160500
New Hardcover Quantity Available: 1
Seller
Cloud 9 Books
(Wellington, FL, U.S.A.)
Rating
[?]

Book Description Academic Press Inc. Hardcover. Book Condition: New. 0121160505 New Condition. Bookseller Inventory # NEW6.0039931

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 162.50
Convert Currency

Add to Basket

Shipping: US$ 4.99
Within U.S.A.
Destination, Rates & Speeds