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Differential Geometry of Curves and Surfaces (Hardback)
Differential Geometry of Curves and Surfaces (Hardback)
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From the "Preface": "This book is an introduction to the differential geometry of curves and surfaces, both in its local and global aspects. The presentation differs from the traditional ones by a more extensive use of elementary linear algebra and by a certain emphasis placed on basic geometrical facts, rather than on machinery or random details. ..."To maintain the proper balance between ideas and facts, we have presented a large number of examples that are computed in detail. Furthermore, a reasonable supply of exercises is provided. Some factual material of classical differential geometry found its place in these exercises. Hints of answers are given for the exercises that are starred.
"The prerequisites for reading this book are linear algebra and calculus.
Chapters
- Curves
- Regular Surfaces
- The Geometry of the Gauss Map
- The Intrinsic Geometry of Surfaces
- Global Differential Geometry
- Bibliography and Comments
- Hints and Answers to Some Exercises
- Index
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PUBLISHER: Prentice-Hall
ISBN-13: 9780132125895
ISBN-10: 0132125897