Differential Geometry (Dover Books on Mathematics) - Softcover

Erwin Kreyszig

Softcover

ISBN 10: 0486667219 ISBN 13: 9780486667218

Publisher: Dover Publications, 1991

Synopsis

This outstanding textbook by a distinguished mathematical scholar introduces the differential geometry of curves and surfaces in three-dimensional Euclidean space. The subject is presented in its simplest, most essential form, but with many explanatory details, figures and examples, and in a manner that conveys the geometric significance and theoretical and practical importance of the different concepts, methods and results involved.
The first chapters of the book focus on the basic concepts and facts of analytic geometry, the theory of space curves, and the foundations of the theory of surfaces, including problems closely related to the first and second fundamental forms. The treatment of the theory of surfaces makes full use of the tensor calculus.
The later chapters address geodesics, mappings of surfaces, special surfaces, and the absolute differential calculus and the displacement of Levi-Cività. Problems at the end of each section (with solutions at the end of the book) will help students  meaningfully review the material presented, and familiarize themselves with the manner of reasoning in differential geometry.

About this title

About the Author

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.

Language Notes

Text: English (translation)
Original Language: German

Edition details

• Publisher: Dover Publications
• Publication date: 1991
• Language: English
• ISBN 10: 0486667219
• ISBN 13: 9780486667218
• Binding: Paperback
• Edition number: 1
• Number of pages: 384