#sovietliterature — Public Fediverse posts

Similarity And Dimensional Methods In Mechanics by L. I. Sedov

Dimensional analysis and similarity theory are essential in physics and engineering, particularly for designing and testing complex structures like airplanes, ships, and dams. These theories guide the conditions for model experiments and identify key parameters for fundamental effects and operations. Despite their simplicity and utility, they are often inadequately explained in textbooks and educational practices, leading to confusion and misconceptions.

The book highlights the importance of clear definitions of dimensional and dimensionless quantities and foundational concepts like the number of basic units of measurement. It critiques the superficial treatment of these topics in academia, which has occasionally led to paradoxes, such as misinterpretations in Rayleigh’s conclusions on heat emission.

Dimensional analysis is especially valuable when combined with broader physical principles, yielding significant insights in fields like turbulence, where a complete mathematical framework is lacking. The book includes new results in turbulence theory and provides detailed analyses of problems like turbulent fluid motion and Newton’s second law.

While many applications of dimensional analysis are not covered, the text aims to demonstrate standard methods and inspire the selection and formulation of new problems and experiments. The first half of the book is accessible to general readers, while the latter half requires some knowledge of hydromechanics.

Translated from the Russian by V. I. Kisin

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CONTENTS
Foreword to the First Russian Edition 7
Foreword to the Third Russian Edition 9
Foreword to the Sixth Russian Edition 10
Foreword to the Eighth Russian Edition 11
Foreword to the Ninth Russian Edition 11

CHAPTER I. General Dimensions Theory
§ 1. Introduction 13
§ 2. Dimensional and Dimensionless Quantities 14
§ 3. Fundamental and Derived Units of Measurement 15
§ 4. Dimensions Formulas 20
§ 5. On Newton’s Second Law 21
§ 6. Nature of the Functional Relations Between Physical Quantities 27
§ 7. Parameters Defining a Class of Phenomena 32
References 35

CHAPTER II. Similarity, Modelling, and Various Examples of the Application of Dimensional Analysis
§ 1. Motion of a Simple Pendulum 36
§ 2. Flow of a Heavy Fluid Through a Spillway 38
§ 3. Fluid Motion in Pipes 40
§ 4. Motion of a Body in a Fluid 44
§ 5. Heat Transfer from a Body in a Fluid Flow 51
§ 6. Dynamic Similarity and Modelling of Phenomena 54
§ 7. Steady Motion of a Solid Body in a Compressible Fluid 63
§ 8. Unsteady Motion in a Fluid 68
§ 9. Ship Motion 72
§ 10. Planing over the Water Surface 79
§ 11. Impact on Water 86
§ 12. Entry of a Cone and a Wedge at Constant Speed into a Fluid 93
§ 13. Small-Amplitude Waves on the Surface of an Incompressible Fluid 95
§ 14. Three-Dimensional Self-Similar Motions of Continuous Media 103
References 106

CHAPTER III. Applications to the Theory of Motion of a Viscous Fluid and to the Theory of Turbulence
§ 1. Diffusion of Vorticity in a Viscous Fluid 108
§ 2. Exact Solutions of the Equations of Motion of a Viscous Incompressible Fluid 110
§ 3. Boundary Layer in the Flow of a Viscous Fluid Past a Flat Plate 116
§ 4. Isotropic Turbulent Motion of an Incompressible Fluid 120
§ 5. Steady Turbulent Motion 151
References 163

CHAPTER IV. One-Dimensional Unsteady Motion of a Gas
§ 1. Self-Similar Motion of Spherical, Cylindrical, and Plane Waves in a Gas 166
§ 2. Ordinary Differential Equations and the Shock Conditions for Self-Similar Motions 175
§ 3. Algebraic Integrals for Self-Similar Motion 187
§ 4. Motions which Are Self-Similar in the Limit 196
§ 5. Investigation of the Family of Integral Curves in the (z, V) Plane 200
§ 6. The Piston Problem 208
§ 7. Problem of Implosion and Explosion at a Point 211
§ 8. Spherical Detonation 213
§ 9. Flame Propagation 220
§ 10. Collapse of an Arbitrary Discontinuity in a Combustible Mixture 225
§ 11. Problem of a Strong Explosion 229
§ 12. Point Explosion with Counterpressure Taken into Account 260
§ 13. On Modelling and on Formulas for the Peak Pressure and Impulse of Explosions 272
§ 14. Problem of a Strong Explosion in a Medium with a Variable Density 282
§ 15. Unsteady Motion of a Gas when the Velocity is Proportional to the Distance from the Centre of Symmetry 293
§ 16. On the General Theory of One-Dimensional Motion of a Gas 304
§ 17. Asymptotic Laws of Shock Wave Damping 317
References 325

CHAPTER V. Introduction to the Theory of Gas Engines
§ 1. On Averaging of Nonuniform Gas Flows in Ducts 334
§ 2. Similarity Conditions and Abstract Parameters Determining the Characteristics of Compressors 348
§ 3. On Flight Efficiency of an Ideal Propeller and an Ideal Air-Breathing Jet Engine 359
References 366

CHAPTER VI. Applications to Astrophysical Problems
§ 1. Some Observational Results 367
§ 2. On the Equations of Equilibrium and Motion of a Gaseous Mass Simulating a Star 377
§ 3. Theoretical Formulas Relating Luminosity with Mass, and Radius with Mass 382
§ 4. Some Simple Solutions of the System of Equations of Stellar Equilibrium 386
§ 5. On the Relation Between the Period of Variation of the Brightness and the Average Density for Cepheids 392
§ 6. On the Theory of the Flare-ups of Novae and Supernovae 395
References 417

Name Index 419
Subject Index 422

Semiconductor Physics by P.S. Kireev

This textbook originates from lectures delivered by the author to students of the Semiconductor Materials and Devices Faculty at the Moscow Institute of Steel and Alloys. It assumes prior knowledge of subjects like Crystallography and Quantum Mechanics, allowing the material to focus exclusively on semiconductor physics without revisiting crystal lattice structures or atomic bonding. Leveraging students’ understanding of quantum mechanics, the textbook employs rigorous methods to address topics such as energy band structures and charge carrier transitions, including their interactions with lattice defects, phonons, and photons. Detailed intermediate calculations and experimental data further enhance comprehension.

While the material is presented at a high level, it remains accessible, supported by clear derivations and illustrations. Group theory methods are introduced to simplify problem-solving but are confined to an appendix, as this subject is typically not part of technical college curricula. The book deliberately avoids covering the operation of specific semiconductor devices, treating Semiconductor Physics as a distinct discipline with a focus on fundamental principles.

Translated from the Russian by Mark Samokhvalov

All credits to the original uploaders, this is an optimised pdf.

You can get the book here and here

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CONTENTS
Preface 9

Chapter I. Introduction. Electron Theory of Conductivity 11

Electron Theory of Conductivity. Ohm’s Law 11
Mean-Free Time and Free-Path Distribution Functions 16
Electron Distribution Function. Mean Values of Physical Quantities 20
Semiconductors. The Classification of Materials According to Their Conductivity 31
Semiconductor Conductivity Models. The Concept of a Hole 35
Intrinsic and Extrinsic Conductivities 39
Chapter II. The Fundamentals of the Band Theory of Semiconductors 42
7. The Schrödinger Equation for the Crystal 42
8. The Adiabatic Approximation 45
9. Single Electron Approximation 50
10. Periodic Field of the Crystal Lattice. Translational Operator 54
11. Quasimomentum 59
12. The Effective Mass of the Electron 64
13. Relation Between Velocity and Quasimomentum 70
14. Acceleration Operator 73
15. Brillouin Zones 80
16. Normalising Inside a Potential Box and the Discrete Nature of Quasimomentum 85
17. Theory of the Quasifree Electron 90
18. Theory of the Quasibound Electron 105
19. Effective Mass Method. Influence of External Fields on Energy Spectrum of a Crystal 119
20. Localised States 125
21. Elementary Theory of Impurity States 130
22. Surface States 138
23. Quantisation of Electron Energy in a Magnetic Field. Landau Levels 141
24. Pauli Principle. Concept of Metal, Semiconductor, and Dielectric 146
25. Main Features of the Hole 153
26. Band Structure of Some Semiconductors. Calculation Methods 158
27. Quasiparticle Concept 175

Chapter III. Electron and Hole Statistics in Semiconductors 180
28. Density of States 180
29. Electron and Hole Concentrations 189
30. Electric Neutrality Equation 197
31. Intrinsic Semiconductor 200
32. Extrinsic Semiconductor. Impurity of One Type 205
33. Semiconductor Doped with Both Acceptor and Donor Impurities 215
34. Degenerate Semiconductor 221
35. Density of States in a Magnetic Field 225

Chapter IV. Kinetic Phenomena in Semiconductors 234
36. Boltzmann’s Kinetic Equation 234
37. Relaxation Time 241
38. Electric Current Density and Energy Flux Density 249
39. Kinetic Coefficients 253
40. Conductivity of Semiconductors 261
41. Galvanomagnetic Effects 270
42. Hall Effect in Extrinsic Conductivity Range 280
43. Hall Effect in a Substance with Several Types of Charge Carriers 288
44. Magnetic Field Dependence of Hall Coefficient 294
45. Magnetoresistive Effect 302
46. Heat Conductivity of Semiconductors 311
47. Thermoelectric Phenomena 318
48. Thermomagnetic Phenomena 334
49. General Analysis of Kinetic Phenomena 338
50. On Kinetic Phenomena in Semiconductors with Tensor Effective Masses 348
51. Tensorsensitive Effect. Tensorsensitivity 352
52. Piezoresistive Effect. Piezoresistance Coefficients 359

Chapter V. The Theory of Charge Carrier Scattering 369
53. Effective Scattering Cross Section 369
54. Relationship Between Relaxation Time and Effective Cross Section 378
55. Elements of Quantum Transition Theory 383
56. Impurity Ion Scattering 390
57. Scattering by Neutral Impurity Atoms 398
58. Lattice Vibrations. Normal Coordinates, Phonons 401
59. Acoustical and Optical Lattice Vibrations 409
60. Lattice Specific Heat. Phonon Statistics 422
61. Scattering by Thermal Lattice Vibrations. Method of Deformation Potential 432
62. Temperature Dependence of Charge Carrier Mobility 441
63. Dependence of Relaxation Time on External Fields. Deviations from Ohm’s Law 452

Chapter VI. Charge Carrier Recombination 461
64. Continuity Equation. Lifetime 461
65. Recombination Mechanism. Linear Recombination 472
66. Diffusion and Drift of Nonequilibrium Charge Carriers 484
67. Surface Recombination 492

Chapter VII. Contact Phenomena in Semiconductors 497
68. Debye Length 497
69. Work Function 510
70. Contact Potential Difference. Metal-Metal Contact 515
71. Metal-Semiconductor Contact 519
72. Inhomogeneous Semiconductor, p-n Junction 525

Chapter VIII. Optical and Photoelectrical Phenomena in Semiconductors 532
73. Light-Absorption Spectrum 532
74. Light Absorption by Free Charge Carriers 536
75. Cyclotron Resonance 546
76. Intrinsic Light Absorption 555
77. Absorption of Light by the Lattice 573
78. Light Absorption by Electrons in Localised States 579
79. Influence of the Ambient on Absorption Spectrum 586
80. Photoresistive Effect 590
81. Dember Effect. Photovoltaic Effect 599
82. Photomagnetoelectric Effect 608
83. Faraday Effect 613
84. Spin-Orbital Splitting of Energy Bands 623

Appendix. Introduction to the Theory of Groups 633

Space Transformations 633
Group of Symmetry Transformations. Properties of Group Elements 639
Relation Between Groups 643
Representation of Groups 646
The Properties of Irreducible Representations 649
The Basis of a Representation 652
Direct Product of Representations 655
Point Groups 659
Translational Groups. Brillouin Zones 665
The Wave Vector Group 671
Schrödinger Equation 680
Twin Groups. Time Inversion 684
Recommended Literature 694

Semiconductor Physics by P.S. Kireev

This textbook originates from lectures delivered by the author to students of the Semiconductor Materials and Devices Faculty at the Moscow Institute of Steel and Alloys. It assumes prior knowledge of subjects like Crystallography and Quantum Mechanics, allowing the material to focus exclusively on semiconductor physics without revisiting crystal lattice structures or atomic bonding. Leveraging students’ understanding of quantum mechanics, the textbook employs rigorous methods to address topics such as energy band structures and charge carrier transitions, including their interactions with lattice defects, phonons, and photons. Detailed intermediate calculations and experimental data further enhance comprehension.

While the material is presented at a high level, it remains accessible, supported by clear derivations and illustrations. Group theory methods are introduced to simplify problem-solving but are confined to an appendix, as this subject is typically not part of technical college curricula. The book deliberately avoids covering the operation of specific semiconductor devices, treating Semiconductor Physics as a distinct discipline with a focus on fundamental principles.

Translated from the Russian by Mark Samokhvalov

All credits to the original uploaders, this is an optimised pdf.

You can get the book here and here

Follow us on

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CONTENTS
Preface 9

Chapter I. Introduction. Electron Theory of Conductivity 11

Electron Theory of Conductivity. Ohm’s Law 11
Mean-Free Time and Free-Path Distribution Functions 16
Electron Distribution Function. Mean Values of Physical Quantities 20
Semiconductors. The Classification of Materials According to Their Conductivity 31
Semiconductor Conductivity Models. The Concept of a Hole 35
Intrinsic and Extrinsic Conductivities 39
Chapter II. The Fundamentals of the Band Theory of Semiconductors 42
7. The Schrödinger Equation for the Crystal 42
8. The Adiabatic Approximation 45
9. Single Electron Approximation 50
10. Periodic Field of the Crystal Lattice. Translational Operator 54
11. Quasimomentum 59
12. The Effective Mass of the Electron 64
13. Relation Between Velocity and Quasimomentum 70
14. Acceleration Operator 73
15. Brillouin Zones 80
16. Normalising Inside a Potential Box and the Discrete Nature of Quasimomentum 85
17. Theory of the Quasifree Electron 90
18. Theory of the Quasibound Electron 105
19. Effective Mass Method. Influence of External Fields on Energy Spectrum of a Crystal 119
20. Localised States 125
21. Elementary Theory of Impurity States 130
22. Surface States 138
23. Quantisation of Electron Energy in a Magnetic Field. Landau Levels 141
24. Pauli Principle. Concept of Metal, Semiconductor, and Dielectric 146
25. Main Features of the Hole 153
26. Band Structure of Some Semiconductors. Calculation Methods 158
27. Quasiparticle Concept 175

Chapter III. Electron and Hole Statistics in Semiconductors 180
28. Density of States 180
29. Electron and Hole Concentrations 189
30. Electric Neutrality Equation 197
31. Intrinsic Semiconductor 200
32. Extrinsic Semiconductor. Impurity of One Type 205
33. Semiconductor Doped with Both Acceptor and Donor Impurities 215
34. Degenerate Semiconductor 221
35. Density of States in a Magnetic Field 225

Chapter IV. Kinetic Phenomena in Semiconductors 234
36. Boltzmann’s Kinetic Equation 234
37. Relaxation Time 241
38. Electric Current Density and Energy Flux Density 249
39. Kinetic Coefficients 253
40. Conductivity of Semiconductors 261
41. Galvanomagnetic Effects 270
42. Hall Effect in Extrinsic Conductivity Range 280
43. Hall Effect in a Substance with Several Types of Charge Carriers 288
44. Magnetic Field Dependence of Hall Coefficient 294
45. Magnetoresistive Effect 302
46. Heat Conductivity of Semiconductors 311
47. Thermoelectric Phenomena 318
48. Thermomagnetic Phenomena 334
49. General Analysis of Kinetic Phenomena 338
50. On Kinetic Phenomena in Semiconductors with Tensor Effective Masses 348
51. Tensorsensitive Effect. Tensorsensitivity 352
52. Piezoresistive Effect. Piezoresistance Coefficients 359

Chapter V. The Theory of Charge Carrier Scattering 369
53. Effective Scattering Cross Section 369
54. Relationship Between Relaxation Time and Effective Cross Section 378
55. Elements of Quantum Transition Theory 383
56. Impurity Ion Scattering 390
57. Scattering by Neutral Impurity Atoms 398
58. Lattice Vibrations. Normal Coordinates, Phonons 401
59. Acoustical and Optical Lattice Vibrations 409
60. Lattice Specific Heat. Phonon Statistics 422
61. Scattering by Thermal Lattice Vibrations. Method of Deformation Potential 432
62. Temperature Dependence of Charge Carrier Mobility 441
63. Dependence of Relaxation Time on External Fields. Deviations from Ohm’s Law 452

Chapter VI. Charge Carrier Recombination 461
64. Continuity Equation. Lifetime 461
65. Recombination Mechanism. Linear Recombination 472
66. Diffusion and Drift of Nonequilibrium Charge Carriers 484
67. Surface Recombination 492

Chapter VII. Contact Phenomena in Semiconductors 497
68. Debye Length 497
69. Work Function 510
70. Contact Potential Difference. Metal-Metal Contact 515
71. Metal-Semiconductor Contact 519
72. Inhomogeneous Semiconductor, p-n Junction 525

Chapter VIII. Optical and Photoelectrical Phenomena in Semiconductors 532
73. Light-Absorption Spectrum 532
74. Light Absorption by Free Charge Carriers 536
75. Cyclotron Resonance 546
76. Intrinsic Light Absorption 555
77. Absorption of Light by the Lattice 573
78. Light Absorption by Electrons in Localised States 579
79. Influence of the Ambient on Absorption Spectrum 586
80. Photoresistive Effect 590
81. Dember Effect. Photovoltaic Effect 599
82. Photomagnetoelectric Effect 608
83. Faraday Effect 613
84. Spin-Orbital Splitting of Energy Bands 623

Appendix. Introduction to the Theory of Groups 633

Space Transformations 633
Group of Symmetry Transformations. Properties of Group Elements 639
Relation Between Groups 643
Representation of Groups 646
The Properties of Irreducible Representations 649
The Basis of a Representation 652
Direct Product of Representations 655
Point Groups 659
Translational Groups. Brillouin Zones 665
The Wave Vector Group 671
Schrödinger Equation 680
Twin Groups. Time Inversion 684
Recommended Literature 694

Semiconductor Physics by P.S. Kireev

This textbook originates from lectures delivered by the author to students of the Semiconductor Materials and Devices Faculty at the Moscow Institute of Steel and Alloys. It assumes prior knowledge of subjects like Crystallography and Quantum Mechanics, allowing the material to focus exclusively on semiconductor physics without revisiting crystal lattice structures or atomic bonding. Leveraging students’ understanding of quantum mechanics, the textbook employs rigorous methods to address topics such as energy band structures and charge carrier transitions, including their interactions with lattice defects, phonons, and photons. Detailed intermediate calculations and experimental data further enhance comprehension.

While the material is presented at a high level, it remains accessible, supported by clear derivations and illustrations. Group theory methods are introduced to simplify problem-solving but are confined to an appendix, as this subject is typically not part of technical college curricula. The book deliberately avoids covering the operation of specific semiconductor devices, treating Semiconductor Physics as a distinct discipline with a focus on fundamental principles.

Translated from the Russian by Mark Samokhvalov

All credits to the original uploaders, this is an optimised pdf.

You can get the book here and here

Follow us on

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Mastadon https://mastodon.social/@mirtitles

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Internet Archive https://archive.org/details/mir-titles

Fork us on gitlab https://gitlab.com/mirtitles

CONTENTS
Preface 9

Chapter I. Introduction. Electron Theory of Conductivity 11

Electron Theory of Conductivity. Ohm’s Law 11
Mean-Free Time and Free-Path Distribution Functions 16
Electron Distribution Function. Mean Values of Physical Quantities 20
Semiconductors. The Classification of Materials According to Their Conductivity 31
Semiconductor Conductivity Models. The Concept of a Hole 35
Intrinsic and Extrinsic Conductivities 39
Chapter II. The Fundamentals of the Band Theory of Semiconductors 42
7. The Schrödinger Equation for the Crystal 42
8. The Adiabatic Approximation 45
9. Single Electron Approximation 50
10. Periodic Field of the Crystal Lattice. Translational Operator 54
11. Quasimomentum 59
12. The Effective Mass of the Electron 64
13. Relation Between Velocity and Quasimomentum 70
14. Acceleration Operator 73
15. Brillouin Zones 80
16. Normalising Inside a Potential Box and the Discrete Nature of Quasimomentum 85
17. Theory of the Quasifree Electron 90
18. Theory of the Quasibound Electron 105
19. Effective Mass Method. Influence of External Fields on Energy Spectrum of a Crystal 119
20. Localised States 125
21. Elementary Theory of Impurity States 130
22. Surface States 138
23. Quantisation of Electron Energy in a Magnetic Field. Landau Levels 141
24. Pauli Principle. Concept of Metal, Semiconductor, and Dielectric 146
25. Main Features of the Hole 153
26. Band Structure of Some Semiconductors. Calculation Methods 158
27. Quasiparticle Concept 175

Chapter III. Electron and Hole Statistics in Semiconductors 180
28. Density of States 180
29. Electron and Hole Concentrations 189
30. Electric Neutrality Equation 197
31. Intrinsic Semiconductor 200
32. Extrinsic Semiconductor. Impurity of One Type 205
33. Semiconductor Doped with Both Acceptor and Donor Impurities 215
34. Degenerate Semiconductor 221
35. Density of States in a Magnetic Field 225

Chapter IV. Kinetic Phenomena in Semiconductors 234
36. Boltzmann’s Kinetic Equation 234
37. Relaxation Time 241
38. Electric Current Density and Energy Flux Density 249
39. Kinetic Coefficients 253
40. Conductivity of Semiconductors 261
41. Galvanomagnetic Effects 270
42. Hall Effect in Extrinsic Conductivity Range 280
43. Hall Effect in a Substance with Several Types of Charge Carriers 288
44. Magnetic Field Dependence of Hall Coefficient 294
45. Magnetoresistive Effect 302
46. Heat Conductivity of Semiconductors 311
47. Thermoelectric Phenomena 318
48. Thermomagnetic Phenomena 334
49. General Analysis of Kinetic Phenomena 338
50. On Kinetic Phenomena in Semiconductors with Tensor Effective Masses 348
51. Tensorsensitive Effect. Tensorsensitivity 352
52. Piezoresistive Effect. Piezoresistance Coefficients 359

Chapter V. The Theory of Charge Carrier Scattering 369
53. Effective Scattering Cross Section 369
54. Relationship Between Relaxation Time and Effective Cross Section 378
55. Elements of Quantum Transition Theory 383
56. Impurity Ion Scattering 390
57. Scattering by Neutral Impurity Atoms 398
58. Lattice Vibrations. Normal Coordinates, Phonons 401
59. Acoustical and Optical Lattice Vibrations 409
60. Lattice Specific Heat. Phonon Statistics 422
61. Scattering by Thermal Lattice Vibrations. Method of Deformation Potential 432
62. Temperature Dependence of Charge Carrier Mobility 441
63. Dependence of Relaxation Time on External Fields. Deviations from Ohm’s Law 452

Chapter VI. Charge Carrier Recombination 461
64. Continuity Equation. Lifetime 461
65. Recombination Mechanism. Linear Recombination 472
66. Diffusion and Drift of Nonequilibrium Charge Carriers 484
67. Surface Recombination 492

Chapter VII. Contact Phenomena in Semiconductors 497
68. Debye Length 497
69. Work Function 510
70. Contact Potential Difference. Metal-Metal Contact 515
71. Metal-Semiconductor Contact 519
72. Inhomogeneous Semiconductor, p-n Junction 525

Chapter VIII. Optical and Photoelectrical Phenomena in Semiconductors 532
73. Light-Absorption Spectrum 532
74. Light Absorption by Free Charge Carriers 536
75. Cyclotron Resonance 546
76. Intrinsic Light Absorption 555
77. Absorption of Light by the Lattice 573
78. Light Absorption by Electrons in Localised States 579
79. Influence of the Ambient on Absorption Spectrum 586
80. Photoresistive Effect 590
81. Dember Effect. Photovoltaic Effect 599
82. Photomagnetoelectric Effect 608
83. Faraday Effect 613
84. Spin-Orbital Splitting of Energy Bands 623

Appendix. Introduction to the Theory of Groups 633

Space Transformations 633
Group of Symmetry Transformations. Properties of Group Elements 639
Relation Between Groups 643
Representation of Groups 646
The Properties of Irreducible Representations 649
The Basis of a Representation 652
Direct Product of Representations 655
Point Groups 659
Translational Groups. Brillouin Zones 665
The Wave Vector Group 671
Schrödinger Equation 680
Twin Groups. Time Inversion 684
Recommended Literature 694

Earth, Sweet Earth ( Science For Everyone) by Ekaterina Radkevich

The book is based on the author’s impressions of her numerous expeditions in the many countries. It is a fascinating narrative rather than a mere record of facts irrespective of how scientifically valid they can be. The book is bound to be appreciated as a piece of absorbing reading by anyone who cares to increase the scope of his or her competence about our sweet home of a planet that must be saved from destruction at all costs.

Ekaterina Radkevich, Corresponding Member of the USSR Academy of Sciences, is one of the most distinguished geologists whose works are well known in her own country and in many other parts of the world. The overwhelming success of her publications is chiefly due to her indefatigable practical activity in the USSR and elsewhere and her unflagging interest in theoretical research which she has been conducting for quite some time at the Institute of Geological Studies in the Far East (Viadivostok).

Note: This book was the last remaining volume in the Science for Everyone Series! This completes volume the SFE series in English.

Many, many thanks to Hassaan Ali who purchased and posted this book to us to complete  this series. Much appreciated help!

You can get the book here and here

Follow us on

Twitter https://x.com/MirTitles

Mastadon https://mastodon.social/@mirtitles

Bluesky https://bsky.app/profile/mirtitles.bsky.social

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Internet Archive https://archive.org/details/mir-titles

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Contents
How I Became a Geologist (In Lieu of a Preface) 7

Part I. The Earth in the Universe 20

Chapter 1. The Earth as a Cosmic Body 20

Chapter 2. The Planet Earth 29

Chapter 3. The Deep-seated Structure of the Earth 38

Chapter 4. The Development of Views on the Origin of Earth and Other Planets of the Solar System 47

Part II. The History of the Development of the Earth 58

Chapter 5. The Dawn 58

Chapter 6. Life: The Earth’s Chronicle 70

Part III. Geology Everywhere 100

Chapter 7. The Work of the Wind 102

Chapter 8. The Role of Water in the Transformation of Our Planet 113

Chapter 9. The Activity of Subterranean Forces 127

Part IV. The Composition of the Earth’s Crust 147

Chapter 10. Sedimentary Rocks 147

Chapter 11. Magmatic (Igneous) Rocks 159

Chapter 12. Metamorphic Rocks 185

Part V. The Movements of the Earth’s Crust 202

Chapter 13. Mountains: Old and Young 203

Chapter 14. The Deformation of Rocks 208

Chapter 15. Fixism vs. Mobilism 216

Part VI. Mineral Resources 236

Chapter 16. The Mineral Kingdom 236

Chapter 17. Mineral Raw Materials and Technical Progress 258

Chapter 18. The Future of Mineral Raw Resources 280

Chapter 19. How Ores Are Formed 286

Chapter 20. The Science of Metallogeny 308

Chapter 21. In Quest of Ores 328

Chapter 22. At the Metallogenic Map of the Pacific Belt 338

Chapter 23. Mineral Resources of the Seas and the Underwater Storerooms of Mineral Raw Materials 349

Chapter 24. Save Our Earth! 361

To End on a Poetic Note 367

Earth, Sweet Earth ( Science For Everyone) by Ekaterina Radkevich

The book is based on the author’s impressions of her numerous expeditions in the many countries. It is a fascinating narrative rather than a mere record of facts irrespective of how scientifically valid they can be. The book is bound to be appreciated as a piece of absorbing reading by anyone who cares to increase the scope of his or her competence about our sweet home of a planet that must be saved from destruction at all costs.

Ekaterina Radkevich, Corresponding Member of the USSR Academy of Sciences, is one of the most distinguished geologists whose works are well known in her own country and in many other parts of the world. The overwhelming success of her publications is chiefly due to her indefatigable practical activity in the USSR and elsewhere and her unflagging interest in theoretical research which she has been conducting for quite some time at the Institute of Geological Studies in the Far East (Viadivostok).

Note: This book was the last remaining volume in the Science for Everyone Series! This completes volume the SFE series in English.

Many, many thanks to Hassaan Ali who purchased and posted this book to us to complete  this series. Much appreciated help!

You can get the book here and here

Follow us on

Twitter https://x.com/MirTitles

Mastadon https://mastodon.social/@mirtitles

Bluesky https://bsky.app/profile/mirtitles.bsky.social

Tumblr https://www.tumblr.com/mirtitles

Internet Archive https://archive.org/details/mir-titles

Fork us on gitlab https://gitlab.com/mirtitles

Contents
How I Became a Geologist (In Lieu of a Preface) 7

Part I. The Earth in the Universe 20

Chapter 1. The Earth as a Cosmic Body 20

Chapter 2. The Planet Earth 29

Chapter 3. The Deep-seated Structure of the Earth 38

Chapter 4. The Development of Views on the Origin of Earth and Other Planets of the Solar System 47

Part II. The History of the Development of the Earth 58

Chapter 5. The Dawn 58

Chapter 6. Life: The Earth’s Chronicle 70

Part III. Geology Everywhere 100

Chapter 7. The Work of the Wind 102

Chapter 8. The Role of Water in the Transformation of Our Planet 113

Chapter 9. The Activity of Subterranean Forces 127

Part IV. The Composition of the Earth’s Crust 147

Chapter 10. Sedimentary Rocks 147

Chapter 11. Magmatic (Igneous) Rocks 159

Chapter 12. Metamorphic Rocks 185

Part V. The Movements of the Earth’s Crust 202

Chapter 13. Mountains: Old and Young 203

Chapter 14. The Deformation of Rocks 208

Chapter 15. Fixism vs. Mobilism 216

Part VI. Mineral Resources 236

Chapter 16. The Mineral Kingdom 236

Chapter 17. Mineral Raw Materials and Technical Progress 258

Chapter 18. The Future of Mineral Raw Resources 280

Chapter 19. How Ores Are Formed 286

Chapter 20. The Science of Metallogeny 308

Chapter 21. In Quest of Ores 328

Chapter 22. At the Metallogenic Map of the Pacific Belt 338

Chapter 23. Mineral Resources of the Seas and the Underwater Storerooms of Mineral Raw Materials 349

Chapter 24. Save Our Earth! 361

To End on a Poetic Note 367

Earth, Sweet Earth ( Science For Everyone) by Ekaterina Radkevich

The book is based on the author’s impressions of her numerous expeditions in the many countries. It is a fascinating narrative rather than a mere record of facts irrespective of how scientifically valid they can be. The book is bound to be appreciated as a piece of absorbing reading by anyone who cares to increase the scope of his or her competence about our sweet home of a planet that must be saved from destruction at all costs.

Ekaterina Radkevich, Corresponding Member of the USSR Academy of Sciences, is one of the most distinguished geologists whose works are well known in her own country and in many other parts of the world. The overwhelming success of her publications is chiefly due to her indefatigable practical activity in the USSR and elsewhere and her unflagging interest in theoretical research which she has been conducting for quite some time at the Institute of Geological Studies in the Far East (Viadivostok).

Note: This book was the last remaining volume in the Science for Everyone Series! This completes volume the SFE series in English.

Many, many thanks to Hassaan Ali who purchased and posted this book to us to complete  this series. Much appreciated help!

You can get the book here and here

Follow us on

Twitter https://x.com/MirTitles

Mastadon https://mastodon.social/@mirtitles

Bluesky https://bsky.app/profile/mirtitles.bsky.social

Tumblr https://www.tumblr.com/mirtitles

Internet Archive https://archive.org/details/mir-titles

Fork us on gitlab https://gitlab.com/mirtitles

Contents
How I Became a Geologist (In Lieu of a Preface) 7

Part I. The Earth in the Universe 20

Chapter 1. The Earth as a Cosmic Body 20

Chapter 2. The Planet Earth 29

Chapter 3. The Deep-seated Structure of the Earth 38

Chapter 4. The Development of Views on the Origin of Earth and Other Planets of the Solar System 47

Part II. The History of the Development of the Earth 58

Chapter 5. The Dawn 58

Chapter 6. Life: The Earth’s Chronicle 70

Part III. Geology Everywhere 100

Chapter 7. The Work of the Wind 102

Chapter 8. The Role of Water in the Transformation of Our Planet 113

Chapter 9. The Activity of Subterranean Forces 127

Part IV. The Composition of the Earth’s Crust 147

Chapter 10. Sedimentary Rocks 147

Chapter 11. Magmatic (Igneous) Rocks 159

Chapter 12. Metamorphic Rocks 185

Part V. The Movements of the Earth’s Crust 202

Chapter 13. Mountains: Old and Young 203

Chapter 14. The Deformation of Rocks 208

Chapter 15. Fixism vs. Mobilism 216

Part VI. Mineral Resources 236

Chapter 16. The Mineral Kingdom 236

Chapter 17. Mineral Raw Materials and Technical Progress 258

Chapter 18. The Future of Mineral Raw Resources 280

Chapter 19. How Ores Are Formed 286

Chapter 20. The Science of Metallogeny 308

Chapter 21. In Quest of Ores 328

Chapter 22. At the Metallogenic Map of the Pacific Belt 338

Chapter 23. Mineral Resources of the Seas and the Underwater Storerooms of Mineral Raw Materials 349

Chapter 24. Save Our Earth! 361

To End on a Poetic Note 367

Earth, Sweet Earth ( Science For Everyone) by Ekaterina Radkevich

The book is based on the author’s impressions of her numerous expeditions in the many countries. It is a fascinating narrative rather than a mere record of facts irrespective of how scientifically valid they can be. The book is bound to be appreciated as a piece of absorbing reading by anyone who cares to increase the scope of his or her competence about our sweet home of a planet that must be saved from destruction at all costs.

Ekaterina Radkevich, Corresponding Member of the USSR Academy of Sciences, is one of the most distinguished geologists whose works are well known in her own country and in many other parts of the world. The overwhelming success of her publications is chiefly due to her indefatigable practical activity in the USSR and elsewhere and her unflagging interest in theoretical research which she has been conducting for quite some time at the Institute of Geological Studies in the Far East (Viadivostok).

Note: This book was the last remaining volume in the Science for Everyone Series! This completes volume the SFE series in English.

Many, many thanks to Hassaan Ali who purchased and posted this book to us to complete  this series. Much appreciated help!

You can get the book here and here

Follow us on

Twitter https://x.com/MirTitles

Mastadon https://mastodon.social/@mirtitles

Bluesky https://bsky.app/profile/mirtitles.bsky.social

Tumblr https://www.tumblr.com/mirtitles

Internet Archive https://archive.org/details/mir-titles

Fork us on gitlab https://gitlab.com/mirtitles

Contents
How I Became a Geologist (In Lieu of a Preface) 7

Part I. The Earth in the Universe 20

Chapter 1. The Earth as a Cosmic Body 20

Chapter 2. The Planet Earth 29

Chapter 3. The Deep-seated Structure of the Earth 38

Chapter 4. The Development of Views on the Origin of Earth and Other Planets of the Solar System 47

Part II. The History of the Development of the Earth 58

Chapter 5. The Dawn 58

Chapter 6. Life: The Earth’s Chronicle 70

Part III. Geology Everywhere 100

Chapter 7. The Work of the Wind 102

Chapter 8. The Role of Water in the Transformation of Our Planet 113

Chapter 9. The Activity of Subterranean Forces 127

Part IV. The Composition of the Earth’s Crust 147

Chapter 10. Sedimentary Rocks 147

Chapter 11. Magmatic (Igneous) Rocks 159

Chapter 12. Metamorphic Rocks 185

Part V. The Movements of the Earth’s Crust 202

Chapter 13. Mountains: Old and Young 203

Chapter 14. The Deformation of Rocks 208

Chapter 15. Fixism vs. Mobilism 216

Part VI. Mineral Resources 236

Chapter 16. The Mineral Kingdom 236

Chapter 17. Mineral Raw Materials and Technical Progress 258

Chapter 18. The Future of Mineral Raw Resources 280

Chapter 19. How Ores Are Formed 286

Chapter 20. The Science of Metallogeny 308

Chapter 21. In Quest of Ores 328

Chapter 22. At the Metallogenic Map of the Pacific Belt 338

Chapter 23. Mineral Resources of the Seas and the Underwater Storerooms of Mineral Raw Materials 349

Chapter 24. Save Our Earth! 361

To End on a Poetic Note 367

Earth, Sweet Earth ( Science For Everyone) by Ekaterina Radkevich

The book is based on the author’s impressions of her numerous expeditions in the many countries. It is a fascinating narrative rather than a mere record of facts irrespective of how scientifically valid they can be. The book is bound to be appreciated as a piece of absorbing reading by anyone who cares to increase the scope of his or her competence about our sweet home of a planet that must be saved from destruction at all costs.

Ekaterina Radkevich, Corresponding Member of the USSR Academy of Sciences, is one of the most distinguished geologists whose works are well known in her own country and in many other parts of the world. The overwhelming success of her publications is chiefly due to her indefatigable practical activity in the USSR and elsewhere and her unflagging interest in theoretical research which she has been conducting for quite some time at the Institute of Geological Studies in the Far East (Viadivostok).

Note: This book was the last remaining volume in the Science for Everyone Series! This completes volume the SFE series in English.

Many, many thanks to Hassaan Ali who purchased and posted this book to us to complete  this series. Much appreciated help!

You can get the book here and here

Follow us on

Twitter https://x.com/MirTitles

Mastadon https://mastodon.social/@mirtitles

Bluesky https://bsky.app/profile/mirtitles.bsky.social

Tumblr https://www.tumblr.com/mirtitles

Internet Archive https://archive.org/details/mir-titles

Fork us on gitlab https://gitlab.com/mirtitles

Contents
How I Became a Geologist (In Lieu of a Preface) 7

Part I. The Earth in the Universe 20

Chapter 1. The Earth as a Cosmic Body 20

Chapter 2. The Planet Earth 29

Chapter 3. The Deep-seated Structure of the Earth 38

Chapter 4. The Development of Views on the Origin of Earth and Other Planets of the Solar System 47

Part II. The History of the Development of the Earth 58

Chapter 5. The Dawn 58

Chapter 6. Life: The Earth’s Chronicle 70

Part III. Geology Everywhere 100

Chapter 7. The Work of the Wind 102

Chapter 8. The Role of Water in the Transformation of Our Planet 113

Chapter 9. The Activity of Subterranean Forces 127

Part IV. The Composition of the Earth’s Crust 147

Chapter 10. Sedimentary Rocks 147

Chapter 11. Magmatic (Igneous) Rocks 159

Chapter 12. Metamorphic Rocks 185

Part V. The Movements of the Earth’s Crust 202

Chapter 13. Mountains: Old and Young 203

Chapter 14. The Deformation of Rocks 208

Chapter 15. Fixism vs. Mobilism 216

Part VI. Mineral Resources 236

Chapter 16. The Mineral Kingdom 236

Chapter 17. Mineral Raw Materials and Technical Progress 258

Chapter 18. The Future of Mineral Raw Resources 280

Chapter 19. How Ores Are Formed 286

Chapter 20. The Science of Metallogeny 308

Chapter 21. In Quest of Ores 328

Chapter 22. At the Metallogenic Map of the Pacific Belt 338

Chapter 23. Mineral Resources of the Seas and the Underwater Storerooms of Mineral Raw Materials 349

Chapter 24. Save Our Earth! 361

To End on a Poetic Note 367

Hilbert’s Fourth Problem by A. V. Pogorelov

Hilbert’s fourth problem, which involves finding all geometries where “ordinary lines” are “geodesics,” is both accessible and profound. While the problem can be appreciated by beginning graduate students, its solution requires tools from various branches of mathematics, including geometry, analysis, and the calculus of variations.

A partial solution was provided by Georg Hamel in 1901. Later, A. V. Pogorelov, inspired by Herbert Busemann’s idea presented at the 1966 International Congress of Mathematicians in Moscow, offered an elegant and comprehensive solution. Pogorelov’s approach, which slightly reformulates Hilbert’s problem, is celebrated for its clarity and mathematical depth.

The book is well-written, introducing necessary mathematical concepts as needed, making it accessible to readers with a foundation in advanced calculus. The English translation, reviewed by Eugene Zaustinsky, includes helpful notes guiding readers to further literature.

Pogorelov’s work is a valuable contribution to the mathematical literature, particularly for those interested in geometry and its foundations.

You can get the book here and here.

INTRODUCTION 5

SECTIONS

1. Projective Space 9

2. Projective Transformations 13

3. Desarguesian Metrizations of Projective Space 19

4. Regular Desarguesian Metrics in the Two-Dimensional Case 24

5. Averaging Desarguesian Metrics 31

6. The Regular Approximation of Desarguesian Metrics 38

7. General Desarguesian Metrics in the Two-Dimensional Case 46

8. Funk’s Problem 54

9. Desarguesian Metrics in the Three-Dimensional Case 61

10. Axioms for the Classical Geometries 68

11. Statement of Hilbert’s Problem 75

12. Solution of Hilbert’s Problem 82

NOTES 88

BIBLIOGRAPHY 93

INDEX 95

#classicalGeometry #foundationsOfGeometry #geometry #mathematics #solutionToHilbertSProblem #sovietLiterature