In this post we will see the book *Problems in Differential Geometry and Topology* by A. S. Mishchenko, Yu. P. Solovyev and A. T. Fomenko

This problem book is compiled by eminent Moscow university teachers.

Based on many years of teaching experience at the mechanics-and-mathematics department, it contains problems practically for all sections of the differential geometry and topology course delivered for university students: besides classical branches of the theory of curves and surfaces, the reader win be offered problems in smooth manifold theory, Riemannian geometry, vector fields and differential forms, general topology, homotopy theory and elements of variational calculus. The structure of the volume corresponds to A Course of Differential Geometry and Topology (Moscow University Press 1980) by Prof. A. T. Fomenko and Prof. A. S. Mishchenko Some problems however, touch upon topics outside the course lectures. The corresponding sections are provided with all necessary theoretical foundations.

About the authors

Alexander Sergeevich Mishchenko, D.Sc. (Phys.-Math.), is a professor at Moscow State University. His doctoral dissertation was devoted to modern aspects of algebraic K-theory. The author of more than 50 scientific papers and 4 books, Professor Mishchenko is a regular invited speaker at the International Congress of Mathematicians. He is a member of the Inspection Committee of the Moscow Mathematical Society.

Anatoly Timofeevich Fomenko, D.Sc. (Phys.-Math.), is a professor at Moscow State University. In his dissertation “Multidimensional Problem of Plateau on Riemannian Manifolds”, which was awarded a prize by the Moscow Mathematical Society, he solved the classical problem of variational calculus. He is a regular invited speaker at the International Congress of Mathematicians. Professor Fomenko has published more than 70 scientific papers and 5 books. His book Modern Geometry, coauthored with Academician S. R Novikov and B. A. Dubrovin, was published in French by Mir Publishers.

Yury Petrovich Solovyev, Cand.Sc. (Phys.-Math.), is a senior scientific worker at Moscow State University. Solovyev’s scientific interests lie in the field of algebraic K .. theory. He has published more than 40 papers, and serves as deputy editor-in-chief of the popular mathematics magazine

Quantum.

The book was translated from the Russian by Oleg Efimov and was first published by Mir in 1985.

Credits to the original uploader for the scans.

The original copy was cleaned at bit, ocred, bookmarked and cover added.

PDF | OCR | Bookmarked | Cover | 6.2 MB | 209 pages

You can get the book here.

Contents

Preface 5

1. Application of Linear Algebra to Geometry 7

2. Systems of Coordinates 9

3. Riemannian Metric 14

4. Theory of Curves 16

5. Surfaces 34

6. Manifolds 53

7. Transformation Groups 60

8. Vector Fields 64

9. Tensor Analysis 70

10. Differential Forms, Integral Formulae, De Rham Cohomology 75

11. General Topology 81

12. Homotopy Theory 87

13. Covering Maps, Fibre Spaces, Riemann Surfaces 97

14. Degree of Mapping 105

15. Simplest Variational Problems 108

Answers and Hints 113

Bibliography 208

The Mitr begins..

We’re waiting for other Books..(especially chemistry and polymer)

Thank you

The Mitr begins…

We’re waiting for other books..(especially chemistry and polymer)

Thank you

Please upload books in heat or mass transfer

Dear Mitr,

Can you use http://www.mega.nz as a mirror for future uploads? Much appreciated.

We had tried private mirrors in the past, they get deleted after some time. That is the problem. With archive links, it is not the case. Of course you are free to and encouraged to provide alternate links.

The Mitr

Thank you for the great work

I Like to know if you have upload “Elemetary Mathematics by Dorofeev, Potapov”

have a nice day