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.
Product Identifiers
Publisher
Cambridge University Press
ISBN-13
9780521721493
eBay Product ID (ePID)
96372367
Product Key Features
Author
Christian Bar
Publication Name
Elementary Differential Geometry
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2010
Type
Textbook
Number of Pages
330 Pages
Dimensions
Item Height
247mm
Item Width
175mm
Item Weight
670g
Additional Product Features
Title_Author
Christian Bar
Country/Region of Manufacture
United Kingdom
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