Modern Geometry―Methods and Applications: Part III: Introduction to Homology Theory: 124 (Graduate Texts in Mathematics, 124) - Hardcover

Dubrovin, B.A.; Fomenko, A.T.; Novikov, S.P.

 
9780387972718: Modern Geometry―Methods and Applications: Part III: Introduction to Homology Theory: 124 (Graduate Texts in Mathematics, 124)

Synopsis

Over the past fifteen years, the geometrical and topological methods of the theory of manifolds have as- sumed 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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Product Description

Modern Geometry: Introduction to Homology Theory Part III Focuses on homology theory. This volume contains introductions to the contemporary methods for the calculation of homology groups and the classification of manifesto. It is suitable for both scientists and students of mathematics as well as theoretical physics. Full description

Synopsis

Translated from the Russian edition of 1979, the authors presume their readers to be familiar with the contents of part II of their Modern geometry . The three chapters of the present volume bear these titles: Homology and cohomology: computational recipes, Critical points of smooth functions and homology theory, Cobordisms and smooth structures. A

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Other Popular Editions of the Same Title

9783540972716: Introduction to Homology Theory (Pt. 3) (Graduate Texts in Mathematics)

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ISBN 10:  3540972714 ISBN 13:  9783540972716
Publisher: Springer-Verlag Berlin and Heide..., 1990
Hardcover