Elementary Differential Geometry
 Author: Christian Bär, Universität Potsdam, Germany
 Date Published: May 2010
 availability: In stock
 format: Paperback
 isbn: 9780521721493
Paperback

The link between the physical world and its visualization is geometry. This easytoread, 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 selfstudy. The only prerequisites are one year of undergraduate calculus and linear algebra.
Read more Assumes only one year of undergraduate calculus and linear algebra
 Equips the reader for further study in mathematics as well as other fields such as physics and computer science
 Over 100 exercises and solutions
Reviews & endorsements
'The book under review presents a detailed and pedagogically excellent study about differential geometry of curves and surfaces by introducing modern concepts and techniques so that it can serve as a transition book between classical differential geometry and contemporary theory of manifolds. the concepts are discussed through historical problems as well as motivating examples and applications. Moreover, constructive examples are given in such a way that the reader can easily develop some understanding for extensions, generalizations and adaptations of classical differential geometry to global differential geometry.' Zentralblatt MATH
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×Product details
 Date Published: May 2010
 format: Paperback
 isbn: 9780521721493
 length: 330 pages
 dimensions: 247 x 175 x 16 mm
 weight: 0.67kg
 contains: 147 b/w illus. 4 colour illus. 125 exercises
 availability: In stock
Table of Contents
Preface
Notation
1. Euclidean geometry
2. Curve theory
3. Classical surface theory
4. The inner geometry of surfaces
5. Geometry and analysis
6. Geometry and topology
7. Hints for solutions to (most) exercises
Formulary
List of symbols
References
Index.Instructors have used or reviewed this title for the following courses
 Concepts in Modern Mathematics
 Differential Geometry
 Independent study/Modern Geometry
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