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1972, ISBN: 0387966269
ID: 8288773
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. differential geometry,geometry,geometry and topology,mathematics,science and math,science and math,textbooks Mathematics, Springer
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ISBN: 9780387966267
ID: 186beb2f1cc1051186a6c82960a9f9f1
Manifolds, Curves, and Surfaces 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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-387-96626-7, Springer
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ISBN: 9780387966267
ID: 978038796626
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. Marcel Berger, Books, Science and Nature, Differential Geometry: Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces Books>Science and Nature, Springer
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ISBN: 9780387966267
ID: 1186980
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. Differential Geometry: Manifolds, Curves, and Surfaces Berger, Marcel / Gostiaux, Bernard / Levy, Silvio, Springer
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Title: | Differential Geometry |
ISBN: | 0387966269 |
Details of the book - Differential Geometry
EAN (ISBN-13): 9780387966267
ISBN (ISBN-10): 0387966269
Hardcover
Paperback
Publishing year: 2007
Publisher: Springer-Verlag GmbH
474 Pages
Weight: 0,888 kg
Language: eng/Englisch
Book in our database since 12.04.2007 22:05:28
Book found last time on 06.01.2017 17:11:38
ISBN/EAN: 0387966269
ISBN - alternate spelling:
0-387-96626-9, 978-0-387-96626-7
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