This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric fie
Modern geometry--methods and applications Part 3
โ Scribed by B.A. Dubrovin, A.T. Fomenko, S.P. Novikov, Robert G. Burns
- Book ID
- 127422704
- Publisher
- Springer-Verlag
- Year
- 1990
- Tongue
- English
- Weight
- 4 MB
- Series
- Graduate texts in mathematics 124 Springer series in Soviet mathematics
- Edition
- 1
- Category
- Library
- City
- New York
- ISBN-13
- 9780387908724
No coin nor oath required. For personal study only.
โฆ Synopsis
Over the past fifteen years, the geometrical and topological methods of the theory of manifolds have assumed a central role in the most advanced areas of pure and applied mathematics as well as theoretical physics. The three volumes of "Modern Geometry - Methods and Applications" contain a concrete exposition of these methods together with their main applications in mathematics and physics. This third volume, presented in highly accessible languages, concentrates in homology theory. It contains introductions to the contemporary methods for the calculation of homology groups and the classification of manifesto. Both scientists and students of mathematics as well as theoretical physics will find this book to be a valuable reference and text.
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This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric fie
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