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Differential Geometry: Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces (Graduate Texts in Mathematics) - Softcover
Synopsis
This book is an introduction to modern differential geometry. The authors begin with the necessary tools from analysis and topology, including Sard's theorem, de Rham cohomology, calculus on manifolds, and a degree theory. The general theory is illustrated and expanded using the examples of curves and surfaces. In particular, the book contains the classical local and global theory of surfaces, including the fundamental forms, curvature, the Gauss-Bonnet formula, geodesics, and minimal surfaces.
"synopsis" may belong to another edition of this title.
- PublisherSpringer
- Publication date2012
- ISBN 10 146126992X
- ISBN 13 9781461269922
- BindingPaperback
- LanguageEnglish
- Number of pages488
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Differential Geometry: Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces (Graduate Texts in Mathematics)
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Differential Geometry: Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces (Graduate Texts in Mathematics)
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Differential Geometry: Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces (Graduate Texts in Mathematics)
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Differential Geometry: Manifolds, Curves, and Surfaces
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Springer New York Okt 2012, 2012
ISBN 10: 146126992X
ISBN 13: 9781461269922
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book consists of two parts, different in form but similar in spirit. The first, which comprises chapters 0 through 9, is a revised and somewhat enlarged version of the 1972 book Geometrie Differentielle. The second part, chapters 10 and 11, is an attempt to remedy the notorious absence in the original book of any treatment of surfaces in three-space, an omission all the more unforgivable in that surfaces are some of the most common geometrical objects, not only in mathematics but in many branches of physics. Geometrie Differentielle was based on a course I taught in Paris in 1969- 70 and again in 1970-71. In designing this course I was decisively influ enced by a conversation with Serge Lang, and I let myself be guided by three general ideas. First, to avoid making the statement and proof of Stokes' formula the climax of the course and running out of time before any of its applications could be discussed. Second, to illustrate each new notion with non-trivial examples, as soon as possible after its introduc tion. And finally, to familiarize geometry-oriented students with analysis and analysis-oriented students with geometry, at least in what concerns manifolds. 492 pp. Englisch. Seller Inventory # 9781461269922
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Differential Geometry: Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces
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ISBN 13: 9781461269922
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Differential Geometry: Manifolds, Curves, and Surfaces : Manifolds, Curves, and Surfaces
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ISBN 10: 146126992X
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book consists of two parts, different in form but similar in spirit. The first, which comprises chapters 0 through 9, is a revised and somewhat enlarged version of the 1972 book Geometrie Differentielle. The second part, chapters 10 and 11, is an attempt to remedy the notorious absence in the original book of any treatment of surfaces in three-space, an omission all the more unforgivable in that surfaces are some of the most common geometrical objects, not only in mathematics but in many branches of physics. Geometrie Differentielle was based on a course I taught in Paris in 1969- 70 and again in 1970-71. In designing this course I was decisively influ enced by a conversation with Serge Lang, and I let myself be guided by three general ideas. First, to avoid making the statement and proof of Stokes' formula the climax of the course and running out of time before any of its applications could be discussed. Second, to illustrate each new notion with non-trivial examples, as soon as possible after its introduc tion. And finally, to familiarize geometry-oriented students with analysis and analysis-oriented students with geometry, at least in what concerns manifolds. Seller Inventory # 9781461269922
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Differential Geometry: Manifolds, Curves, and Surfaces
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book consists of two parts, different in form but similar in spirit. The first, which comprises chapters 0 through 9, is a revised and somewhat enlarged version of the 1972 book Geometrie Differentielle. The second part, chapters 10 and 11, is an attem. Seller Inventory # 4189626
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Differential Geometry
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Differential Geometry
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Condition: New. Print on Demand pp. 492 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam. Seller Inventory # 44779593
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