## A Course of Differential Geometry and Topology – Mishchenko, Fomenko

In this post we will see A Course of Differential Geometry and Topology – A. Mishchenko and A. Fomenko. Earlier we had seen the Problem Book on Differential Geometry and Topology by these two authors which is the associated problem book for this course.

The present course deals with the fundamentals of differential geometry and topology whose present state is the culmination of contributions of generations of mathematicians.

The English edition has been thoroughly revised in line with comments and suggestions, made by our readers, the mistakes and misprints that were detected have been corrected. This is essentially a textbook for modern course on differential geometry and topology, which is much wider than the traditional courses on classical differential geometry, and it covers many branches of mathematics a knowledge of which has become essential for a modern mathematical education. We hope that a reader who has mastered this material will be able to do independent research both in geometry and related fields. To gain a deeper understanding of the material of this book, we recommend the reader should solve the questions in A. S. Mishchenko, Yu. P. Solovyev and A. T. Fomenko Problems in Differential Geometry and Topology which was specially compiled to accompany this course.

The book was translated from the Russian by Anatoly Talshev and was first published by Mir in 1988.

PDF | 75 MB |  459 Pages | Cover |

All credits to the original uploader.

Note: Though the file size is large  ~ 75 MB, the scan quality is poor, OCR may not be of any help.

## Contents

Preface to English Edition 8

Preface to Russian Edition 9

Chapter 1 Introduction to Differential Geometry 12

Chapter 2 General Topology 67

Chapter3 Smooth Manifolds (General theory) 92

Chapter 4 Smooth Manifolds (Examples) 147

Chapter 5 Tensor Analysis and Riemannian Geometry 294

Chapter 6 Homology Theory 371

Chapter 7 Simple Variational Problems in Riemannian Geometry 407

I am The Mitr, The Friend

### 13 Responses to A Course of Differential Geometry and Topology – Mishchenko, Fomenko

1. Kiran says:

Hi Mitr,

Nice post. Do you have the following books by MIR publications? If so could you please upload

1. Engineering Thermodynamics
By Sychev & Kirillin

2. Geometry
By Efimov

Best Regards,
K

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2. shreekant says:

Very good job done, perfect collection of USSR texts.
pl. upload “Mechanisms in Modern Engineering Design – A Handbook for Engineers, Designers and Inventors” by Ivan Artobolevsky I.(5 volumes in 7 books ).
warm regards
shreekant

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• shreekant says:

Pl. up load the following books on physics

Problems in Physics — VL Zubov & VP Shalnov
Worked Examples in Physics — VL Zubov & VP Shalnov
Selected Problems on Physics — SP Myasnikov & TN Osanova
Selected Problems in Physics — MP Shaskol’skaya & IA El’tsin
Questions and Problems in General Physics — IV Savelyev
Physics Problems and Questions — NI Goldfarb
Collection of Problems in General Physics — DV Sivukhin
Collected Problems in Physics — S Kozel, E Rashba & S Slavatinskii
A Collection of Problems on Physics — SI Kashina & Yu I Sezonov
Problems in Elementary Physics — E Dana Pierce
Problems in Theoretical Physics — LG Grechko
Problems in Quantum Mechanics — II Goldman, VD Krivchenkov, VI Kogan & VM Galitskii
Collection of Problems in Theoretical Mechanics — IV Meshchersky
Elementary Physics: Problems and Solutions — IP Gurskii
Problems in Undergraduate Physics: Mechanics — SP Strelkov & IA Yakovlev
Problems in Undergraduate Physics: Electricity and Magnetism — SP Strelkov, IA El’tsin & SE Khaikin
Problems in Undergraduate Physics: Optics — VL Ginzburg, LM Levin, DV Sivukhin & ES Chetverikova
Problems in Undergraduate Physics: Molecular Physics, Thermodynamics, Atomic & Nuclear Physics — VL Ginzburg, LM Levin & MS Rabinovich
Senior Physics (Part 2) — B Bekhovtsev
Fundamentals of Physics — BN Ivanov
Fundamentals of Physics — BM Yavorsky & AA Pinsky
General Physics: Mechanics and Molecular Physics — Landau, Akhiezer & Lifshitz
Course of Theoretical Physics: Mechanics — Landau & Lifshitz
Course of Theoretical Physics: The Classical Theory of Fields — Landau & Lifshitz
Course of Theoretical Physics: Quantum Mechanics (Non-Relativistic Theory) — Landau & Lifshitz
Course of Theoretical Physics: Quantum Electrodynamics — Landau, Lifshitz, Berestetskii & Pitaevskii
Course of Theoretical Physics: Statistical Physics (Part 1) — Landau & Lifshitz
Course of Theoretical Physics: Fluid Mechanics — Landau & Lifshitz
Course of Theoretical Physics: Theory of Elasticity — Landau & Lifshitz
Course of Theoretical Physics: Electrodynamics of Continuous Media — Landau, Lifshitz & Pitaevskii
Course of Theoretical Physics: Statistical Physics (Part 2) — Lifshitz & Pitaevskii
Course of Theoretical Physics: Physical Kinetics — Lifshitz & Pitaevskii
A Shorter Course of Theoretical Physics: Mechanics and Electrodynamics — Landau & Lifshitz
A Shorter Course of Theoretical Physics: Quantum Mechanics — Landau & Lifshitz
A Shorter Course of Theoretical Physics: Macroscopic Physics — Landau & Lifshitz
Course on General Physics: Mechanics and Theory of Relativity — AN Matveev
Course on General Physics: Molecular Physics — AN Matveev
Course on General Physics: Electricity and Magnetism — AN Matveev
Course on General Physics: Optics — AN Matveev
Course on General Physics: Atomic Physics — AN Matveev
Fundamentals of The Theory of Electricity — Igor E Tamm
Fundamentals of Electricity — FE Evdokimov
Electrodynamics — Yu A Novozholov & Yu A Yappa
Fundamental Laws of Mechanics — IE Irodov
Basic Laws of Electromagnetism — IE Irodov
ABC’s of Quantum Mechanics — VJ Rydnik
Quantum Physics — Stephen Gasiorowicz
Nuclear Physics — Irving Kaplan
Optics — GS Landsberg
Basic Concepts of Quantum Mechanics — LV Tarasov
Discussions on Refraction of Light — LV Tarasov
The General Course of Physics: Mechanics — DV Sivukhin
The General Course of Physics: Thermodynamics and Molecular Physics — DV Sivukhin
The General Course of Physics: Electricity — DV Sivukhin
The General Course of Physics: Optics — DV Sivukhin
The General Course of Physics: Atomic and Nuclear Physics — DV Sivukhin
Physics, A General Course: Mechanics, Molecular Physics — IV Savelyev
Physics, A General Course: Electricity and Magnetism, Waves, Optics — IV Savelyev
Physics, A General Course: Quantum Optics, Atomic Physics, Solid State Physics, Physics of Atomic Nucleus & Elementary Particles — IV Savelyev
Fundamentals of Theoretical Physics: Mechanics, Electrodynamics — IV Savelyev
Fundamentals of Theoretical Physics: Quantum Mechanics — IV Savelyev

warm regards
shreekant

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• The Mitr says:

Some of them are already there please look at the site first

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3. Here I found Fundamentals of Physics by B. M. Yavorsky, A. A. Pinsky: http://gen.lib.rus.ec/search.php?req=B.+M.+Yavorsky%2C+A.+A.+Pinsky&lg_topic=libgen&open=0&view=simple&res=25&phrase=1&column=def
Make it new post !!!

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• There are no pdf/dvju files on those links.

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4. How can I buy a copy of this book? I need to buy several other Mir books. Please let me know.

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5. GianniN says:

Hi to everyone, I want to share the set of 5 volumes of Artobolevsky – Mechanism in modern engineering design , at the moment only one of the 7 book is missing (volume 5 par 2)

I will very happy if anyone can provide the missing book.

if you find any problem to download the books pls let me know,

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6. GianniN says:

Hi to everyone, I want to share the LAST book of the set.

Volumes 5 part 2
of
Artobolevsky – Mechanism in modern engineering design
is now
AVAILABLE

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Hi Community, Can you guys try to locate a pdf or djvu of Lectures in Geometry by Postnikov M M.
Its a 5 volume set of which 3 are readily available on the internet ie Books 1, 2 and 5. Book 4 (differential geometry) has not been translated in English.

i am looking for Book 3 – Smooth Manifolds

The links to Books 1,2, and 5 are below for those interested.

Thanks for the good work.

Rajorshi

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• vrata says:

A bit late, but I’m currently scanning Postnikov’s smooth manifolds (Vol. 1 and 2), although it may take a while (a few weeks at least). My copies of the 2 volumes of Semester IV – Differential Geometry are available only in French, but I plan to scan these as well in the hope that someone may attempt a translation if the books were more easily available. Look out on libgen for this!

P.S. In case you’re interested in purchasing these books in print, they’re available at urss.ru. Here is the link to the full set – http://urss.ru/cgi-bin/db.pl?lang=en&blang=ru&page=Book&id=8295

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• The Mitr says:

Thanks, please post the links once you do. If you need any help in cleaning the scans or digitising do let us know.

PS: at 6K INR the book is too costly 🙂

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