| Dewey Class |
516 |
| Titel |
Modern Geometry — Methods and Applications ([EBook]) : Part I. The Geometry of Surfaces, Transformation Groups, and Fields / by B. A. Dubrovin, A. T. Fomenko, S. P. Novikov. |
| Verfasser |
Dubrovin, Boris A. |
| Added Personal Name |
Fomenko, Anatolij Timofeevič
Siehe auch: Fomenko, Anatolii Timofeevic author. |
| Novikov, S.P.(Sergei Petrovich) author. |
| Other name(s) |
SpringerLink (Online service) |
| Veröffentl |
New York, NY : Springer , 1984. |
| Physical Details |
XV, 464 pages : online resource. |
| Reihe |
Graduate Texts in Mathematics, A Selection 0072-5285 ; ; 93 |
| ISBN |
9781468499469 |
| Summary Note |
manifolds, transformation groups, and Lie algebras, as well as the basic concepts of visual topology. It was also agreed that the course should be given in as simple and concrete a language as possible, and that wherever practic able the terminology should be that used by physicists. Thus it was along these lines that the archetypal course was taught. It was given more permanent form as duplicated lecture notes published under the auspices of Moscow State University as: Differential Geometry, Parts I and II, by S. P. Novikov, Division of Mechanics, Moscow State University, 1972. Subsequently various parts of the course were altered, and new topics added. This supplementary material was published (also in duplicated form) as Differential Geometry, Part III, by S. P. Novikov and A. T. Fomenko, Division of Mechanics, Moscow State University, 1974. The present book is the outcome of a reworking, re-ordering, and ex tensive elaboration of the above-mentioned lecture notes. It is the authors' view that it will serve as a basic text from which the essentials for a course in modern geometry may be easily extracted. To S. P. Novikov are due the original conception and the overall plan of the book. The work of organizing the material contained in the duplicated lecture notes in accordance with this plan was carried out by B. A. Dubrovin.: |
| Contents note |
1 Geometry in Regions of a Space. Basic Concepts -- 3 Tensors: The Algebraic Theory -- 4 The Differential Calculus of Tensors -- 5 The Elements of the Calculus of Variations -- 6 The Calculus of Variations in Several Dimensions. Fields and Their Geometric Invariants. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-1-4684-9946-9 |
| LINKS ZU 'VERWANDTEN WERKEN |
Schlagwörter: .
Geometry .
Mathematics .
Authors:
- Dubrovin, Boris A. .
- Fomenko, Anatolij Timofeevič .
- Siehe auch: .
- Fomenko, A.T. .
- Fomenko, A.T. (Anatolij Timofʹevič), 1945- .
- Fomenko, Anatolii Timofeevic .
- Fomenko, Anatolij Timofejevič, 1945- .
- Фоменко, А. Т. (Анатолий Тимофеевич), 1945- .
- Фоменко, Анатолий Тимофеевич .
- Фоменко, Анатолий Тимофеевич, 1945- .
Corporate Authors:
Series:
Classification:
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