Introduction to Differential Geometry and Riemannian Geometry

By:

Erwin Kreyszig

Format:

Paperback / softback

Series:

Heritage

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Description

This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space and to n-dimensional Riemannian geometry. Based on Kreyszig's earlier book Differential Geometry, it is presented in a simple and understandable manner with many examples illustrating the ideas, methods, and results. Among the topics covered are vector and tensor algebra, the theory of surfaces, the formulae of Weingarten and Gauss, geodesics, mappings of surfaces and their applications, and global problems. A thorough investigation of Reimannian manifolds is made, including the theory of hypersurfaces. Interesting problems are provided and complete solutions are given at the end of the book together with a list of the more important formulae. Elementary calculus is the sole prerequisite for the understanding of this detailed and complete study in mathematics.

Author Biography:

Erwin Kreyszig (1922-2008) was a professor of mathematics at Carleton University. After retirement from Carleton he was given the title of Distinguished Research Professor and continued to play an active role in the Department, maintaining his office and continuing his research.

Release date Australia

December 15th, 1968

Author

Erwin Kreyszig

Audiences

Professional & Vocational
Tertiary Education (US: College)

Pages

382

Series

Heritage

Dimensions

152x229x20

ISBN-13

9781487592455

Product ID

27740184

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