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Elementary Differential Geometry 1st Edition by Christian Bar ISBN 0521896711 9780521896719

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Elementary Differential Geometry 1st Edition Christian Bär Digital Instant Download

Author(s): Christian Bär
ISBN(s): 9780521896719, 0521896711
Edition: 1
File Details: PDF, 4.92 MB
Year: 2010
Language: english
SKU: EB-1442394 Category: Tag:

Elementary Differential Geometry 1st Edition by Christian Bär – Ebook PDF Instant Download/Delivery: 0521896711, 9780521896719

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Product details:

ISBN 10: 0521896711 

ISBN 13: 9780521896719

Author: Christian Bär

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.

  • 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

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.

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Tags: Christian Bar, Elementary, Differential, Geometry