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Sinopsis
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.
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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.
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Curves and Surfaces (Graduate Studies in Mathematics)
Publicado por
American Mathematical Society, 2009
ISBN 10: 0821847635
ISBN 13: 9780821847633
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Condición: 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. . . . . Nº de ref. del artículo: V9780821847633
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Curves and Surfaces
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Amer Mathematical Society, 2009
ISBN 10: 0821847635
ISBN 13: 9780821847633
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Hardcover. Condición: Brand New. 2nd edition. 386 pages. 10.20x7.10x0.80 inches. In Stock. Nº de ref. del artículo: __0821847635
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Curves and Surfaces (Graduate Studies in Mathematics)
Publicado por
American Mathematical Society, 2009
ISBN 10: 0821847635
ISBN 13: 9780821847633
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Condición: 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. Nº de ref. del artículo: V9780821847633
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Curves and Surfaces
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American Mathematical Society, 2009
ISBN 10: 0821847635
ISBN 13: 9780821847633
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Curves and Surfaces
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Curves and Surfaces
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Curves and Surfaces
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Curves and Surfaces
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Curves and Surfaces
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Hardback. Condición: 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. Nº de ref. del artículo: LU-9780821847633
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Curves and Surfaces
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American Mathematical Society, 2009
ISBN 10: 0821847635
ISBN 13: 9780821847633
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