Differential Topology: Vol 33 (Graduate Texts in Mathematics) - Hardcover

Hirsch, Morris W.

Hardcover

ISBN 10: 3540901485 ISBN 13: 9783540901488

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1991

Synopsis

This text provides a thorough knowledge of the basic topological ideas necessary for studying differential manifolds. These topics include immersions and imbeddings, approach techniques, and the Morse classification of surfaces and their cobordism. The author keeps the mathematical prerequisites to a minimum; this and the emphasis on the geometric and intuitive aspects of the subject make the book a useful introduction for the student. There are numerous exercises on many different levels, ranging from practical applications of the theorems to significant further development of the theory.

About this title

Review

M.W. Hirsch

Differential Topology

"A very valuable book. In little over 200 pages, it presents a well-organized and surprisingly comprehensive treatment of most of the basic material in differential topology, as far as is accessible without the methods of algebraic topology. Newly introduced concepts are usually well motivated, and often the historical development of an idea is described. There is an abundance of exercises, which supply many beautiful examples and much interesting additional information, and help the reader to become thoroughly familiar with the material of the main text. "―MATHEMATICAL REVIEWS

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1991
• Language: English
• ISBN 10: 3540901485
• ISBN 13: 9783540901488
• Binding: Hardcover
• Edition number: 6
• Number of pages: 232