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160319bc2010. xxu||||| |||| 00| 0 eng d |
015 ## - NATIONAL BIBLIOGRAPHY NUMBER |
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016 ## - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781107603967 |
040 ## - CATALOGING SOURCE |
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050 ## - LIBRARY OF CONGRESS CALL NUMBER |
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082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
516.36 BAR |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Bar, Christian. . |
222 ## - KEY TITLE |
Key title |
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Qualifying information |
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245 ## - TITLE STATEMENT |
Title |
Elementary differential geometry |
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250 ## - EDITION STATEMENT |
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260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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Place of publication, distribution, etc. |
New York: |
Name of publisher, distributor, etc. |
Cambridge University Press, |
Date of publication, distribution, etc. |
c2010. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xii, 317 p.: |
Other physical details |
ill; |
Dimensions |
26cm. |
310 ## - CURRENT PUBLICATION FREQUENCY |
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440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
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500 ## - GENERAL NOTE |
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General note |
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"--Provided by publisher. |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc. note |
Machine generated contents note: 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. ,Formerly CIP. |
611 ## - SUBJECT ADDED ENTRY--MEETING NAME |
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Location of meeting |
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653 ## - INDEX TERM--UNCONTROLLED |
Uncontrolled term |
Geometry |
653 ## - INDEX TERM--UNCONTROLLED |
Uncontrolled term |
Geometry, Differential -- Textbooks. |
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