Elementary Differential Geometry - Softcover

Bär, Christian

Softcover

ISBN 10: 0521721490 ISBN 13: 9780521721493

Publisher: Cambridge University Press, 2010

Synopsis

The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations, and the Gauss–Bonnet theorem. The section on cartography demonstrates the concrete importance of elementary differential geometry in applications. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and self-study. The only prerequisites are one year of undergraduate calculus and linear algebra.

About this title

About the Author

Christian Bär is Professor of Geometry in the Institute for Mathematics at the University of Potsdam, Germany.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2010
• Language: English
• ISBN 10: 0521721490
• ISBN 13: 9780521721493
• Binding: Paperback
• Edition number: 1
• Number of pages: 330