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.

mishchenko-fomenko-a-course-in-differential-geometry-and-topology

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 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.

You can get the book here (libgen link) and here (IA link)

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

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7 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

  2. shreekant says:

    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

    • 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

  3. 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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