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Curves and Surfaces (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 69) - Hardcover
Synopsis
This introductory textbook puts forth a clear and focused point of view on the differential geometry of curves and surfaces. Following the modern point of view on differential geometry, the book emphasizes the global aspects of the subject. The excellent collection of examples and exercises (with hints) will help students in learning the material. Advanced undergraduates and graduate students will find this a nice entry point to differential geometry. In order to study the global properties of curves and surfaces, it is necessary to have more sophisticated tools than are usually found in textbooks on the topic. In particular, students must have a firm grasp on certain topological theories. Indeed, this monograph treats the Gauss-Bonnet theorem and discusses the Euler characteristic. The authors also cover Alexandrov's theorem on embedded compact surfaces in $\mathbb{R}^3$ with constant mean curvature. The last chapter addresses the global geometry of curves, including periodic space curves and the four-vertices theorem for plane curves that are not necessarily convex. Besides being an introduction to the lively subject of curves and surfaces, this book can also be used as an entry to a wider study of differential geometry. It is suitable as the text for a first-year graduate course or an advanced undergraduate course.
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Review
With its readable style and the completeness of its exposition, this would be a very good candidate for an introductory graduate course in differential geometry or for self-study. --MAA Reviews
This book is a nice introduction to differential geometry with contemporary emphasis on aspects of a global nature. --Mathematical Reviews
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Curves and Surfaces (Graduate Studies in Mathematics)
Published by
American Mathematical Society, 2009
ISBN 10: 0821847635
ISBN 13: 9780821847633
New
Hardcover
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
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Condition: New. Offers a focused point of view on the differential geometry of curves and surfaces. This monograph treats the Gauss - Bonnet theorem and discusses the Euler characteristic. It also covers Alexandrov's theorem on embedded compact surfaces in R3 with constant mean curvature. Series: Graduate Studies in Mathematics. Num Pages: 386 pages, Illustrations. BIC Classification: PBM; PBP. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 261 x 182 x 25. Weight in Grams: 852. . 2009. 2nd Edition. Hardcover. . . . . Seller Inventory # V9780821847633
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Curves and Surfaces
Published by
American Mathematical Society, 2009
ISBN 10: 0821847635
ISBN 13: 9780821847633
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Curves and Surfaces
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ISBN 10: 0821847635
ISBN 13: 9780821847633
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Hardcover. Condition: Brand New. 2nd edition. 386 pages. 10.20x7.10x0.80 inches. In Stock. Seller Inventory # __0821847635
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Curves and Surfaces (Graduate Studies in Mathematics)
Published by
American Mathematical Society, 2009
ISBN 10: 0821847635
ISBN 13: 9780821847633
New
Hardcover
Seller: Kennys Bookstore, Olney, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Offers a focused point of view on the differential geometry of curves and surfaces. This monograph treats the Gauss - Bonnet theorem and discusses the Euler characteristic. It also covers Alexandrov's theorem on embedded compact surfaces in R3 with constant mean curvature. Series: Graduate Studies in Mathematics. Num Pages: 386 pages, Illustrations. BIC Classification: PBM; PBP. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 261 x 182 x 25. Weight in Grams: 852. . 2009. 2nd Edition. Hardcover. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821847633
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Curves and Surfaces
Published by
American Mathematical Society, 2009
ISBN 10: 0821847635
ISBN 13: 9780821847633
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Curves and Surfaces
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Hardback. Condition: New. Second Edition. This introductory textbook puts forth a clear and focused point of view on the differential geometry of curves and surfaces. Following the modern point of view on differential geometry, the book emphasizes the global aspects of the subject. The excellent collection of examples and exercises (with hints) will help students in learning the material. Advanced undergraduates and graduate students will find this a nice entry point to differential geometry. In order to study the global properties of curves and surfaces, it is necessary to have more sophisticated tools than are usually found in textbooks on the topic. In particular, students must have a firm grasp on certain topological theories. Indeed, this monograph treats the Gauss - Bonnet theorem and discusses the Euler characteristic. The authors also cover Alexandrov's theorem on embedded compact surfaces in R3 with constant mean curvature. The last chapter addresses the global geometry of curves, including periodic space curves and the four-vertices theorem for plane curves that are not necessarily convex. Besides being an introduction to the lively subject of curves and surfaces, this book can also be used as an entry to a wider study of differential geometry. It is suitable as the text for a first-year graduate course or an advanced undergraduate course. Seller Inventory # LU-9780821847633
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