Basic Elements of Differential Geometry and Topology

Author:   S.P. Novikov ,  A.T. Fomenko
Publisher:   Springer
Edition:   1st ed. Softcover of orig. ed. 1990
Volume:   60
ISBN:  

9789048140800


Pages:   490
Publication Date:   15 December 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
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Basic Elements of Differential Geometry and Topology


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Overview

One service mathematics has rendered the 'Et moi, ..., si j'avait su comment en revenir, je n'y serais point aile.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Matht""natics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics seNe as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ...'; 'One service logic has rendered com- puter science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

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Author:   S.P. Novikov ,  A.T. Fomenko
Publisher:   Springer
Imprint:   Springer
Edition:   1st ed. Softcover of orig. ed. 1990
Volume:   60
Dimensions:   Width: 17.00cm , Height: 2.50cm , Length: 24.40cm
Weight:   0.861kg
ISBN:  

9789048140800


ISBN 10:   9048140803
Pages:   490
Publication Date:   15 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

I. Basic Concepts of Differential Geometry.- II. Tensors. Riemannian Geometry.- III. Basic Elements of Topology.- Appendices.- Appendix 1 The Simplest Groups of Transformations of Euclidean and Non-Euclidean Spaces.- Appendix 2 Some Elements of Modern Concepts of the Geometry of the Real World.- Appendix 3 Crystallographic Croups.- Appendix 4 Homology Groups and Methods of their Calculation.- Appendix 5 The Theory of Geodesics, Second Variation and Variational Calculus.- Appendix 6 Basic Geometric Properties of the Lobachevskian Plane.- Appendix 7 Selected Exerices on the Material of the Course.- Additional Material.- References.

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