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.

About the book

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 Topologywhich 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

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

Very good job done, perfect collection of USSR texts.

i complete my graduation reading all these books.

Pl. advice as all the links for downloading are not operative.

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

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

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

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 !!!

There are no pdf/dvju files on those links.

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

Contact

amishra1994@rediffmail.com

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.

You can download the pdf file from

https://drive.google.com/drive/folders/0B3JbH2O6FXFTRXRxejFZbFdiQVk?usp=sharing

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

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

You can download the FULL set of pdf files from

https://drive.google.com/drive/folders/0B3JbH2O6FXFTRXRxejFZbFdiQVk?usp=sharing

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.

https://archive.org/details/postnikovlinearalgebra

https://archive.org/details/postnikovliegroups

https://archive.org/details/lecturesingeomet00post

Thanks for the good work.

Rajorshi

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

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 🙂