Differential Geometry Manifolds, Curves, and Surfaces
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Auteur:
Marcel Berger
Bernard Gostiaux
Co-auteur:
Silvio Levy
- Engels
- Hardcover
- 9780387966267
- 23 november 1987
- 476 pagina's
Samenvatting
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.
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.
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.
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Inhoud
- Taal
- en
- Bindwijze
- Hardcover
- Oorspronkelijke releasedatum
- 23 november 1987
- Aantal pagina's
- 476
- Illustraties
- Nee
Betrokkenen
- Hoofdauteur
- Marcel Berger
- Tweede Auteur
- Bernard Gostiaux
- Co Auteur
- Silvio Levy
- Hoofduitgeverij
- Springer-Verlag New York Inc.
Vertaling
- Eerste Vertaler
- Silvio Levy
- Originele titel
- Differential Geometry: Manifolds, Curves, and Surfaces
Overige kenmerken
- Editie
- 1988 ed.
- Extra groot lettertype
- Nee
- Product breedte
- 155 mm
- Product lengte
- 235 mm
- Studieboek
- Ja
- Verpakking breedte
- 155 mm
- Verpakking hoogte
- 235 mm
- Verpakking lengte
- 235 mm
- Verpakkingsgewicht
- 1900 g
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- EAN
- 9780387966267
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Staat: Zeer goed. Titel: Differential Geometry: Manifolds, Curves, and Surfaces. Jaar van uitgave: 1988. Taal: Engels. Lichte sporen omslag verder als nieuw
Staat: Zeer goed. Titel: Differential Geometry: Manifolds, Curves, and Surfaces. Jaar van uitgave: 1988. Taal: Engels. Lichte sporen omslag verder als nieuw
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