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This book is designed to introduce differential geometry to beginning graduate students as well as to advanced undergraduate students. In the last couple of decades, differential geometry, along with other branches of mathematics, has been greatly developed. In this book we will study only the traditional topics: namely, curves and surfaces in a three-dimensional Euclidean space E3. Unlike most classical books on the subject, however, more attention is paid here to the relationships between local and global properties, as opposed to local properties only. Although we restrict our attention to curves and surfaces in E3, most global theorems for curves and surfaces in this book can be extended to higher dimensional spaces, to more general curves and surfaces, or to both. Moreover, geometric interpretations are given along with analytic expressions. This enables students to make use of geometric intuition, which is a precious tool for studying geometry and related problems.
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- VerlagInternational Press of Boston Inc
- Erscheinungsdatum2014
- ISBN 10 1571462805
- ISBN 13 9781571462800
- EinbandTapa blanda
- Anzahl der Seiten343
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A First Course in Differential Geometry
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International Press of Boston, Incorporated, 2013
ISBN 10: 1571462805
ISBN 13: 9781571462800
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A First Course in Differential Geometry
Verlag:
International Press of Boston, Incorporated, 2013
ISBN 10: 1571462805
ISBN 13: 9781571462800
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A First Course in Differential Geometry
Verlag:
International Press of Boston, Incorporated, 2013
ISBN 10: 1571462805
ISBN 13: 9781571462800
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A First Course in Differential Geometry
Verlag:
International Press of Boston, Incorporated, 2013
ISBN 10: 1571462805
ISBN 13: 9781571462800
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Beispielbild für diese ISBN
A First Course in Differential Geometry
Verlag:
International Press of Boston, Incorporated, 2013
ISBN 10: 1571462805
ISBN 13: 9781571462800
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Softcover
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