Erschienen: 23.11.1987 Abbildung von Berger / Gostiaux | Differential Geometry: Manifolds, Curves, and Surfaces | 1987

Berger / Gostiaux

Differential Geometry: Manifolds, Curves, and Surfaces

Manifolds, Curves, and Surfaces

lieferbar (3-5 Tage)

ca. 85,59 €

inkl. Mwst.

1987. Buch. xii, 476 S. Bibliographien. Hardcover

Springer. ISBN 978-0-387-96626-7

Format (B x L): 15,5 x 23,5 cm

Gewicht: 1900 g

In englischer Sprache

Das Werk ist Teil der Reihe: Graduate Texts in Mathematics; 115


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.


Die 8. Auflage ist wieder auf sechs Bände angelegt. Darin finden sich übersichtlich und in systematischer Gliederung Vertragsmuster aus der Feder erfahrener Experten. Jedem dieser Muster folgen Anmerkungen, mit denen der dem Vertragsentwurf zu Grunde liegende Sachverhalt und die Gründe für die Wahl des spezifischen Formulars erläutert werden.


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