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Differential Geometry
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Differential Geometry - neues Buch

ISBN: 9780387966267

ID: 5935153

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. 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. Books, Science and Geography~~Mathematics~~Geometry, Differential Geometry~~Book~~9780387966267~~Bernard Gostiaux, Marcel Berger, , , , , , , , , ,, [PU: Springer]

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Differential Geometry: Manifolds, Curves, and Surfaces - Marcel Berger#Bernard Gostiaux
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ISBN: 9780387966267

ID: dc94c80b7f50926636b2651f402d112a

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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Differential Geometry: Manifolds, Curves, and Surfaces (Graduate Texts in Mathematics) - Marcel Berger, Bernard Gostiaux, Silvio Levy (Translator)
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Marcel Berger, Bernard Gostiaux, Silvio Levy (Translator):
Differential Geometry: Manifolds, Curves, and Surfaces (Graduate Texts in Mathematics) - gebunden oder broschiert

1987

ISBN: 9780387966267

ID: 13561364585

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Differential Geometry: Manifolds, Curves, and Surfaces (Graduate Texts in Mathematics) - Berger, Marcel; Gostiaux, Bernard
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Berger, Marcel; Gostiaux, Bernard:
Differential Geometry: Manifolds, Curves, and Surfaces (Graduate Texts in Mathematics) - gebunden oder broschiert

1987, ISBN: 0387966269

ID: 17830048647

[EAN: 9780387966267], Neubuch, [PU: Springer], Mathematics|Geometry|Differential

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Differential Geometry - Marcel Berger; Bernard Gostiaux
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Marcel Berger; Bernard Gostiaux:
Differential Geometry - gebunden oder broschiert

1987, ISBN: 9780387966267

ID: 1211633

Hardcover, Buch, [PU: Springer-Verlag New York Inc.]

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Details zum Buch
Differential Geometry
Autor:

Berger, Marcel; Gostiaux, Bernard

Titel:

Differential Geometry

ISBN-Nummer:

0387966269

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.

Detailangaben zum Buch - Differential Geometry


EAN (ISBN-13): 9780387966267
ISBN (ISBN-10): 0387966269
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2007
Herausgeber: Springer-Verlag GmbH
474 Seiten
Gewicht: 0,888 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 12.04.2007 22:05:28
Buch zuletzt gefunden am 25.10.2016 16:15:57
ISBN/EAN: 0387966269

ISBN - alternative Schreibweisen:
0-387-96626-9, 978-0-387-96626-7

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