Geometry I: Basic Ideas and Concepts of Differential Geometry: 28 - Brossura

 
9783642080852: Geometry I: Basic Ideas and Concepts of Differential Geometry: 28

Sinossi

In this volume of the Encyclopaedia, the authors give a tour of the principal areas and methods of modern differential geometry. Some topics, though important, have not previously appeared in books with a general readership. The book is structured to allow the reader to skip about the text, rather than systematically reading from beginning to end. Compared to other EMS volumes, EMS 28 has an increased appeal for early graduate students.

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Contenuti

1. Introduction: A Metamathematical View of Differential Geometry.- 2. The Geometry of Surfaces.- 3. The Field Approach of Riemann.- 4. The Group Approach of Lie and Klein. The Geometry of Transformation Groups.- 5. The Geometry of Differential Equations.- 6. Geometric Structures.- 7. The Equivalence Problem, Differential Invariants and Pseudogroups.- 8. Global Aspects of Differential Geometry.- Commentary on the References.- References.- Author Index.

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Altre edizioni note dello stesso titolo

9783540519997: Geometry I: Basic Ideas and Concepts of Differential Geometry: 28

Edizione in evidenza

ISBN 10:  3540519998 ISBN 13:  9783540519997
Casa editrice: Springer Nature, 1991
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