About the book

In the year marking the 20th anniversary of Yuri Gagarin’s flight into space, I was responsible for running the “Small Inter- cosmos’’competition. It was given this title because with the Soviet children taking part in this competition were others from Bulgaria, Hungary, Vietnam, the GDR, Laos, Mongolia and Czechoslovakia. Each o f the competitors had to devise an experiment which in his or her opinion might be carried out in space. These children sent in more than two thousand suggestions and amongst these were some that, in my opinion, most children would be capable o f inventing. Take a few examples. A cat, as we know, is one o f the most agile o f all creatures. But how would it behave in a state of weightlessness?

Other children suggested taking ants and bees on board a spaceship. These insects have an excellent sense o f orientation when on Earth. The children proposed an investigation as to whether this sense would be quite so keen if the insects were inside an orbital space station.

There were many suggestions and projects and it would be impossible to list them all here. I can say only one thing— that cosmonautics has ceased to be the domain o f adults alone. That is not really surprising. Many schoolchildren know more about outer space now than the first cosmonauts themselves knew when preparing for their flights.

It was by chance that I began here by mentioning the “Small Intercosmos’’. This competition underlined the fact that children need good and attractive books for their studies in cosmonautics. An A-Z of Cosmonautics is just such a book.

The book was translated from the Russian by K. Ford and was published by Mir in 1989. The design and illustrations were done by V. Stulikov, E. Ilatovsky.

The state of Soviet space technology depicted here is perhaps in its prime (the Russian edition was in 1984). Now in 2021 it seems much of the technology and institutes depicted in this book might be in ruins, and they definitely are not in the best form as shown here. This book provides an unique, and perhaps the last (1989), insight into the Soviet space venture, detailing the history and state of the art that time in a way that is enchanting for young readers.

Though the file size is large (~130M), it does justice to fantastic colour images in the book. I will perhaps post an optimised file sometime later.

You can get the book here.

**POST SCRIPT**

This book holds a special significance for me. It is the only book that my father gifted to me about two and a half decades back (mid nineties). This book was source of endless fascination about outer space, rockets and space ships. Not to mention the amazing, yet simple drawings depicting the various aspects of space travel. They inspired me to do my own drawings.. In today’s an hypermedia era when you can get any images and information with a simple search, such books may not hold that magic. But back in those days, this book (and books like this) provided the much needed fuel for flights of fantasy! You could model your space station along these lines, and imagine the kind of food cosmonauts eat, how they live, how they train.. I hope others also find this book as fascinating as I did in my younger years.

I came to know about Laika and Yuri Gagarin from this book.

Space port Baikonur!

Training hard!

And we have liftoff!

How does inside of the space station looks like?

Weightlessness you say??

Welcome back home!

The multi-page spanner internal structure of Soyuz is highly fascinating.

And also of various other vehicles

Also Sputniks which started it all!

The book also has some famous illustrations from the past, for example the Flammarion engraving.

The book took time to clean as you can see in the comparison images below. I had to manually clean almost all the pages with images, but the result was worth it.

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About the book

The aim of the present book is to help the reader acquire the proficiency needed to successfully apply the methods of mathematical physics to a variety of problems drawn from mechanics, the theory of heat conduction, and the theory of electric and magnetic phenomena. A wide range of topics is covered, including not only problems of the simpler sort, but also problems of a more complicated nature involving such things as curvilinear coordinates, integral transforms, certain kinds of integral equations, etc. The book is intended both for students concomitantly studying the cor responding topics in courses of mathematical physics, and for research scientists who in their work find it necessary to carry out calculations using the methods described here. We also think that quite apart from its value as a tool for acquiring technique, the book can also serve as a handbook, especially in view of the fact that answers to the problems are included.

The book was translated from the Russian by Richard Silverman and was published in 1965.

Credits to the original uploader.

You can get the book here.

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Contents

PROBLEMS, Page 1.

1. DERIVATION OF EQUATIONS AND FORMULATION OF PROBLEMS, Page 3.

1. Mechanics, 3.

2. Heat Conduction, 9.

3. Electricity and Magnetism, 11.

2. SOME SPECIAL METHODS FOR SOLVING HYPERBOLIC AND ELLIPTIC EQUATIONS, Page 20.

1. Hyperbolic Equations, 20.

2. Elliptic Equations: The Green’s Function Method, 27.

3. Elliptic Equations: The Method of Conformal Mapping, 33.

3. STEADY-STATE HARMONIC OSCILLATIONS, Page 42.

1. Elastic Bodies: Free Oscillations, 43.

2. Elastic Bodies: Forced Oscillations, 46.

3. Electromagnetic Oscillations, 49.

4. THE FOURIER METHOD, Page 55.

1. Mechanics: Vibrating Systems, Acoustics, 60.

2. Mechanics: Statics of Deformable Media, Fluid Dynamics, 73.

3. Heat Conduction: Nonstationary Problems, 77.

4. Heat Conduction: Stationary Problems, 83.

5. Electricity and Magnetism, 91.

5. THE EIGENFUNCTION METHOD FOR SOLVING INHOMOGENEOUS PROBLEMS, Page 103.

1. Mechanics: Vibrating Systems, 107.

2. Mechanics: Statics of Deformable Media, 114.

3. Heat Conduction: Nonstationary Problems, 119.

4. Heat Conduction: Stationary Problems, 124.

5. Electricity and Magnetism, 131.

6. INTEGRAL TRANSFORMS, Page 143.

1. The Fourier Transform, 146.

2. The Hankel Transform, 160.

3. The Laplace Transform, 169.

4. The Mellin Transform, 189.

5. Integral Transforms Involving Cylinder Functions of Imaginary Order, 194.

7. CURVILINEAR COORDINATES, Page 203.

1. Elliptic Coordinates, 204.

2. Parabolic Coordinates, 210.

3. Two-Dimensional Bipolar Coordinates, 212.

4. Spheroidal Coordinates, 219.

5. Paraboloidal Coordinates, 231.

6. Toroidal Coordinates, 233.

7. Three-Dimensional Bipolar Coordinates, 242.

8. Some General Problems on Separation of Variables, 247.

8. INTEGRAL EQUATIONS, Page 253.

1. Diffraction Theory, 254.

2. Electrostatics, 259.

PART 2 SOLUTIONS, Page 273.

MATHEMATICAL APPENDIX, Page 381.

1. Special Functions Appearing in the Text, 381.

2. Expansions in Series of Orthogonal Functions, 384.

3. Some Definite Integrals Frequently Encountered in the Applications, 386.

4. Expansion of Some Differential Operators in Orthogonal Curvilinear Coordinates, 388.

Supplement. VARIATIONAL AND RELATED METHODS, Page 391.

1. Variational Methods, 392.

1.1. Formulation of Variational Problems, 392.

1.2. The Ritz Method, 396.

1.3. Kantorovich’s Method, 401.

2. Related Methods, 404.

2.1. Galerkin’s Method, 404.

2.2. Collocation, 407.

2.3. Least Squares, 411.

3. References, 412.

BIBLIOGRAPHY, Page 415.

NAME INDEX, Page 423.

SUBJECT INDEX, Page 427.

**About the book**

This book is specifically a “textbook” for learning the physical content of quantum mechanics. There is a pleasing progression from the gross quantum effects (blackbody radiation, photoelectric effect, specific heats) to typical quantum mechanical behavior (spreading of wave packets, barrier penetration, stationary states, spin and angular momentum multiplets) to the more refined quantum phenomenology (fine structure, effect of the nucleus on atomic structure, quantum fluctuations of the electromagnetic field, coupling of angular momentums in multielectron atoms and molecules). At each stage of remoteness from everyday experience some of the conceptually and computationally abstruse parts of the theory are dealt with in explicit detail that emphasizes the real observability of the phenomenon. The mathematical form of the theory is thereby dictated by the necessity of having a notational apparatus that is sufficiently rich and flexible to embrace the scope of actual observable effects.

The book was translated from the Russian by Scripta Technica and was published in 1966 by Holt.

You can get the book here.

**Contents**

PREFACE TO THE ENGLISH EDITION

PREFACE xiii

INTRODUCTION xv

PART 1. NON-RELATIVISTIC QUANTUM MECHANICS 1

1. The Quantum Theory of Light 3

2. The Bohr Quantum Theory 20

3. Wave Properties of Particles 41

4. The Time-Independent Schrodinger Wave Equation 57

5. The Time-Dependent Schrodinger Wave Equation 73

6. Basic Principles of the Quantum Theory of Conductivity 97

7. Statistical Interpretation of Quantum Mechanics 119

8. Average Values of Operators. Change of Dynamic Variables with Time 127

9. Elementary Theory of Radiation 141

10. The Linear Harmonic Oscillator 149

11. General Theory of Motion of a Particle in a Centrally Symmetric Field 168

12. The Rotator 185

13. The Theory of the Hydrogen-like Atom (Kepler’s Problem) 203

14. Time-Independent Perturbation Theory 231

Basic principles and fundamental equations of perturbation theory. Non-degenerate case. Degenerate case. Secular equation.

PART II. RELATIVISTIC QUANTUM MECHANICS 257

15. The Klein-Gordon Scalar Relativistic Wave Equation 259

16. Motion of an Electron in a Magnetic Field. Electron Spin 268

17. The Dirac Wave Equation 285

18. The Dirac Theory of the Motion of an Electron in a Central Field of Force 293

19. The Dirac Equation in Approximate Form 308

20. The Fine Structure of the Spectra of Hydrogen-like Atoms 314

21. The Effect of Nuclear Si rue lure on Atomic Spectra 334

22. Electron-Positron Vacuum and the Electromagnetic Vacuum 347

23. Theory of the Helium Atom Neglecting Spin Slates 358

24. Elementary Theory of Multielectron Atoms Including Spin States 378

25. Optical Spectra of Alkali Metals 397

26. Mendeleyev’s Periodic System of Elements 420

27. Tin1Theory of Simple Molecules 437

PART III. SOME APPLICATIONS TO NUCLEAR PHYSICS

28. Elastic Scattering of Particles 465

29. Second Quantization 480

APPENDIX A. Hilbert Space and Transformation Theory 497

APPENDIX B. The Statistical Assertions of Quantum Mechanics

505 PROBLEMS 511

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HEAR ME MY FRIENDS,

AND PRAY LISTEN WELL!

YOU WILL LIKE

THE TALE I’M GOING TO TELL.

IT TELLS OF BRAVE DEEDS

AND OF BRAVE MEN TOO

AND IS A THRILLING TALE

AND A TRUE.

SO OPEN THE BOOK

AND TURN TO PAGE ONE,

AND YOU’LL MEET GREY WOLF

AND TSAREVICH IVAN!

The folk tale in the book was adapted by *Viktor Vazhdayev*. The fantastic drawings are by N. Kochergin and the tale was retold in English by Irina Zheleznova. The book was published by Malysh Publishers in 1981.

You can get the book here and here.

All credits too Guptaji.

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The book has some really beautiful paintings of animals in their natural habitat. It has three “parts”

The Animals of Hot and Cold Lands 3

In the Woods 29

In Our Yard 51

Each animal has a small description of its habits and habitats.

There are some fantastic full page paintings, and some are spread over two pages!

**PS: ***Loud Thinking:* Sometimes I feel there should be a separate/dedicated blog for just the illustrations in Soviet books. What do you think?

There is no information on the illustrator, but it should be *N. Charushin*, as there are some paintings which are common to this and A Bookful of Beasts by Vladimir Mayakovsky. The book was published by Progress in 1980.

You can get the book here and here.

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This is an fabulously illustrated storybook for children.

The illustrations were done by *Evgeny Monin* and the book was translated from the Russian by *Fainna Glagoleva* and was published by Progress in 1978.

The title page is a gorgeous piece of calligraphy!

You can get the book here (slightly better cropped scan) and here (original scan).

All credits to Guptaji.

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]]>

About the book

This collection of problems and exercises in the methods of mathematical physics is designed to fit the present curriculum of the departments of physics and mathematics in universities and other institutes of higher education.

In compiling this collection, I made use of various text and problem books pertinent to the different sections.

To assist in the solution of the difficult problems, and to indicate more rational ways of solving them, I have given directions concerning methods of solution for most problems, and have included complete solutions of some. The more difficult problems are indicated by an asterisk.

The book was translated from the Russian by Michael Yanowitch and was published in 1966.

You can get the book here.

**Contents**

Foreword to the English Edition v

Preface vii

PART I —The Foundations of Mathematical Field Theory 1

Chapter 1. Two- and Three-Dimensional Scalar Fields 3

Chapter 2. Vector Fields. Field Lines 9

Chapter 3. Second-Order Differential Operators. The Laplacian. Harmonic Functions 23

PART II —Differential Equations of Mathematical Physics 27

Chapter 4. Solution of the Vibrating Equation by the Method of Waves (d’Alembert’s Method) 29

Chapter 5. The Fourier Method. The Method of Eigenfunctions 33

Chapter 6. Problems Involving Special Functions 45

PART III —The Elements of Probability Theory 51

Chapter 7. The Basic Concepts and Theorems of Probability Theory. The Binomial Distribution 53

Answers and Directions 67

Appendices 133

Index 143

]]>About the book

The book introduces ideas of quantum mechanics and elementary particles. The book first discusses the concept of elementary particles, and then proceeds to covering the prediction of the positron by Dirac and its experimental discovery. Next, the selection talks about nucleons and pions, along with beta-disintegration and the discovery of the neutrino. The next chapter deals with the problem of non-conservation of parity. The last chapter covers resonons. The book will be of great interest to physicists, particularly those who specialize in quantum mechanics.

The book was translated from the Russian by William E. Jones and was published in 1964.

You can get the book here.

**Contents**

Introduction

Prediction of the positron by Dirac and its experimental discovery

Nucleons and pions (nuclear field quanta)

Beta-disintegration and the discovery of the neutrino

The problem of non-conservation of parity

“Abandoned and strange” particles; “resonons”

References

In recent years increasing attention has been given to plasmas, plasma dyna mics, and yarious processes occurring in plasmas. An important problem in this field is the study of the propagation in plasmas of electromagnetic waves of various types (radio waves, plasma waves, hydromagnetic waves, etc.). A particular case of this is the behaviour of a plasma, i.e. an ionised gas, in an electromagnetic field which is uniform in space but variable in time.

The present book deals with such problems, which are of importance in the theory of radio wave propagation in the Earth’s ionosphere, in radio astro nomy and astrophysics, and in the physics of laboratory plasmas.

The study of wave propagation in plasmas involves a great number of different problems and various forms of these problems. The relevant literature is very extensive, especially if kindred problems of plasma physics are included. It must be emphasised that no attempt is made here to review this literature. The author has tried rather to discuss as simply as possible some of the fundamental results, in particular for problems which he himself has helped to investigate. Thus neither the exposition of the material nor the list of references can lay claim to completeness. However, there seems to be no book, Russian or other, in which wave propagation in plasmas is discussed in even the amount of detail given here.In order to assist the reader and to make the book more useful for reference,

certain formulae have been repeated in different sections, and two sections are devoted to the collation of the principal results. Moreover, the list of references includes some original and review articles on subjects which arc discussed only briefly or not at all in this book. The most important problem omitted concerns the propagation of waves in the presence of statistical inhomogeneities.

You can get the book here.

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**Contents**

Preface to the English Edition VIII

Preface to the Russian Edition XV

Notation XVII

I. The Fundamental Theory of Electromagnetic Wave Propagation in Plasmas 1

II. Wave Propagation in a Homogeneous Isotropic Plasma 12

III. Wave Propagation in a Homogeneous Magnetoactive Plasma 81

IV. Wave Propagation in an Inhomogeneous Isotropic Plasma 178

V. Wave Propagation in an Inhomogeneous Magnetoactive Plasma 251

VI. Reflection of Radio Waves from Ionospheric Layers 345

VII. Radio Wave Propagation in Cosmic Conditions 400

VIII. Non-linear Phenomena in a Plasma in a Variable Electro Magnetic Field 428

Appendix A. Electromagnetic Wave Propagation in an Anisotropic Dispersive Medium 461

Appendix B. the Conservation law and the Expression for the Energy Density in the Electrodynamics of an Absorbing Dispersive Medium 477

Appendix C. the law of Conservation of Energy in the Electrodynamics of Media With Spatial Dispersion 496

References 501

Index 533

]]>About the series

This set of four books of problems is based on a translation of a Russian collection which has been in use by students in physics at Moscow State University and the Moscow Physico-Technical Institute for a number of years. Where appropriate, answers and solutions to the problems are given in the second part of each volume.

During the course of the translation of these volumes, the authors provided a large list of amendments and additions to their Russian text and these have all been incorporated in this English edition. Many of the additional problems are on topics which have developed during recent years.

The standard of the problems is roughly equivalent to an undergraduate degree course in physics at a British university, or at an American university; it varies from the simple to the rather sophisticated. They can be used in conjunction with almost any textbook on physics at the appropriate level.

~~We do not have the first volume, the rest of the three volumes are given below. If you know the links to the first volume please post in the comments.~~

Edit: (just a few hours after posting we received the first volume of mechanics from *Raghu N.* Many thanks Raghu for the pdf!

by S. P Streklov, I. A. El’stin and S. E. Khaikin

by V. L. Ginzburg, L. M. Levin, D. V. Sivukhin and E. S. Chetverikova

by by V. L. Ginzburg, L. M. Levin, M. S. Rabinovich and D. V. Sivukhin

Table of Contents

Volume I

PROBLEMS

§ 1. Kinematics 3

§ 2. Dynamics of particle motion 14

§ 3. Statics 26

§ 4. Work, Power, Energy 32

§ 5. Laws of conservation of momentum and energy 34

§ 6. Dynamics of a point particle in circular motion 38

§ 7. Dynamics of a rotating rigid body 45

§ 8. Gravity 59

§ 9. Elastic Deformations 63

§ 10. Vibrations 69

§ 11. Hydrostatics and Aerostatics 78

§ 12. Hydrodynamics and Aerodynamics 82

§ 13. Acoustics 89

ANSWERS AND SOLUTIONS

§ 1. Kinematics 97

§ 2. Dynamics of particle motion 109

§ 3. Statics 120

§ 4. Work, Power, Energy 122

§ 5. Laws of conservation of momentum and energy 124

§ 6. Dynamics of a point particle in circular motion 130

§ 7. Dynamics of a rotating rigid body 140

§ 8. Gravity 155

§ 9. Elastic Deformations 162

§ 10. Vibrations 171

§ 11. Hydrostatics and Aerostatics 178

§ 12. Hydrodynamics and Aerodynamics 181

§ 13. Acoustics 185

Volume II

Preface vii

PROBLEMS

§ 1. Electrostatics 3

§ 2. Direct current laws 18

§ 3. Permanent magnets 33

§ 4. The magnetic field of a current 36

§ 5. Electromagnetic induction 49

§ 6. Alternating currents 64

§ 7. Electric currents in liquids 89

§ 8. Thermoelectricity 92

§ 9. Electronics 93

§ 10. Electromagnetic waves 99

ANSWERS AND SOLUTIONS

§ 1. Electrostatics 111

§ 2. Direct current laws 131

§3. Permanent magnets 141

§4. The magnetic field of a current 144

§ 5. Electromagnetic induction 153

§ 6. Alternating currents 167

§ 7. Electric currents in liquids 179

§ 8. Thermoelectricity 181

§9. Electronics 181

§ 10. Electromagnetic waves 186

Volume III

CONTENTS

PROBLEMS

§ 1. Geometrical optics 3

§ 2.Photometry 33

§ 3. Interference and diffraction of light 38

§ 4. Polarisation of light. Fresnel’s formulae 63

§ 5. Crystal optics 70

§ 6. Velocity of light. Optics of moving media and sources. Some problems of the theory of relativity 83

§ 7. Radiation pressure 92

§ 8. Molecular optics 95

ANSWERS AND SOLUTIONS

§ 1. Geometrical optics 117

§ 2. Photometry 156

§ 3. Interference and diffraction of light 161

§ 4. Polarisation of light. Fresnel’s formulae 196

§ 5. Crystal optics 209

§ 6. Velocity of light. Optics of moving media and sources. Some problems of the theory of relativity 233

§ 7. Radiation pressure 251

§ 8. Molecular optics 255

Volume IV

CONTENTS

Preface vii

PROBLEMS

Chapter I. Molecular physics and thermodynamics

§ 1. Thermometry. Calorimetry. Thermal expansion 3

§ 2. Thermal conductivity 9

§ 3. Gas laws. The equation of state 14

§ 4. First and second laws of thermodynamics and their applications 19

§ 5. Properties of liquids. Surface tension. Solutions 36

§ 6. Kinetic theory of matter 45

§ 7. Heat radiation 56

Chapter II. Atomic and nuclear physics

§ 8. Structure of the atom and spectra 61

§ 9. X-Rays 69

§ 10. The quantum nature of light. The wave properties of particles 72

§ 11. Nuclear physics 80

ANSWERS AND SOLUTIONS

Chapter I. Molecular physics and thermodynamics

§ 1. Thermometry. Calorimetry. Thermal expansion 115

§ 2. Thermal conductivity 117

§ 3. Gas laws. The equation of state 120

§ 4. Firstand second laws of thermodynamics and their applications 124

§ 5. Properties of liquids. Surface tension. Solutions 143

§ 6. Kinetic theory of matter 157

§ 7. Heat radiation 172

Chapter II. Atomic and nuclear physics

§ 8. Structure of the atom and spectra 177

§9. X-Rays 186

§ 10. The quantum nature of light. The wave properties of particles 189

§ 11. Nuclear Physics 202

Tables 234

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