ScreenshotIn this post, we will see the LaTeX version of a great resource in physics:
A Modern Handbook of Physics by B. M. Yavorksy and A. A. Detlaf.

About the book (From the Preface)

The basic sciences and physics, in particular, are of prime importance today in the training of engineers for the various branches of the national economy. This has led to fundamental changes in recent years in the teaching of physics in engineering institutes, and to the students of other educational institutions in which they do not major in physics. The scope and scientific level of physics courses have been substantially supplemented and cover the main trends in the development of modern physics. Consequently, the physics textbooks for engineering students have inevitably become three-volume editions of almost fifteen hundred pages. The need has arisen, in this connection, for a concise handbook on this subject.

The aim of the authors was to fulfill this need. In scope and depth this handbook includes all of the definitions, formulas and information covered in the most comprehensive and up-to-date physics courses of engineering institutes
and the physics departments of universities and colleges. Physical laws are concisely formulated, all the necessary explanations are given and, in many cases, derivations as well. Though it plays a vital role in the teaching of physics, experimental material has been omitted. This is due only to a lack of space. All the units and symbols comply with the requirements of the SI Units of physical quantities and systems of units are listed and dealt with in a short appendix.

This handbook is designed primarily for engineering students, as well as college and university students studying, but not majoring in physics. It can be used to advantage by engineers and graduate students, as well as by instructors and lecturers of intermediate schools and colleges.

Mathematical knowledge required in using the handbook is within the scope of the ordinary mathematics courses of engineering institutes. The detailed index and the numerous cross references, indicating the chapter, section and subsection, are of aid in finding any required information.

The book was translated from the Russian by Nicholas Weinstein and was published by Mir in 1982.

Some snaps from the LaTeX edition…

Note: It took me a while to typeset this one. I had started it a long back in 2020, and continued in breaks. This is a long book – almost 1000 pages with eight parts and 43 chapters! At times it felt as if the book will never be completed, it took me on and off more than six years to complete (the first commit is in 2020!, see the screenshot below). The book was essentially complete in June last year, with only few minor tweaks remaining (essentially the margin placements of captions and diagrams) and diagrams to be redone in vector graphics. I have done a few initial ones into SVG, but then I sort of left it. I have not added the appendices and index. May be some time in the future we will have a release that has all diagrams as vector images.

But anyways, finally here it is. Hope this is useful to all the readers.

PS: Though I have checked (and rechecked), I am sure there will be errors in the typesetting. Do tell if you find any (I am sure you will.) – Damitr

You can get the book here and here.

This book is an Open Educational Resource OER

Released under CC BY NC 4.0

 

PPS: In the works is Handbook of Elementary Mathematics by Vygodsky (and two textbooks by Irodov), I had real pleasure in typesetting some of the pages there. Hopefully we will see this perhaps before the year end.

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Contents

Preface xvii

I. Mechanics 1

1. Kinematics 3

1.1. Mechanical Motion. The Subject Matter of Mechanics 3

1.2. Frames of Reference. Path, Path Length 5

1.3. Velocity 10

1.4. Acceleration 14

1.5. Translational and Rotary Motion of a Rigid Body 17

2. Newton’s Laws 25

2.1. Newton’s First Law. Inertial Frames of Reference 25

2.2. Force 27

2.3. Mass. Momentum 31

2.4. Newton’s Second Law 34

2.5. Newton’s Third Law. Motion of the Centre of Mass 37

2.6. Motion of a Body of Variable Mass 39

2.7. Law of Conservation of Momentum 42

2.8. Galilean Transformations 45

3. Work And Mechanical Energy 51

3.1. Energy, Work and Power 51

3.2. Kinetic Energy 58

3.3. Potential Energy 62

3.4. Law of Conservation of Mechanical Energy 67

3.5. Perfectly Elastic and Inelastic Collisions 72

4. Dynamics of Rotary Motion 79

4.1. Moment of Force and Angular Momentum 79

4.2. Moment of Inertia 85

4.3. The Fundamental Law in the Dynamics of Rotary Motion 89

4.4. Law of Conservation of Angular Momentum 95

5. Fundamentals of the Special Theory of Relativity101

5.1. Postulates of the Special Theory of Relativity 101

5.2. Simultaneity of Events. Synchronization of Clocks 104

5.3. Lorentz’s Transformations 108

5.4.  Relativity of Lengths and Time Intervals. 110

5.5. Transformation of Velocities and Accelerations 119

5.6. Basic Law of Relativistic Dynamics 124

5.7. Mass-Energy Relation 127

6. Gravitation 133

6.1. Law of Universal Gravitation 133

6.2. Gravitational Field 136

6.3. Kepler’s Laws. Space Velocities 144

7. Motion in non-inertial Frames of Reference 149

7.1. Kinematics of Relative Motion 149

7.2. Inertial Forces 151

7.3. Frame of Reference Fixed to the Earth 155

7.4. Principle of Equivalence 161

II. Fundamentals of Molecular Physics and Thermodynamics 165

8. Ideal Gases 167

8.1. Subject Matter of Molecular Physics. Thermal Motion 167

8.2. Statistical and Thermodynamic Methods 169

8.3. Thermodynamic Variables 172

8.4. Equation of State of an Ideal Gas 177

9. First law of Thermodynamics 181

9.1. Total and Internal Energy 181

9.2. Heat and Work 184

9.3. First Law of Thermodynamics 189

9.4. Graphical Representation 191

9.5. Heat Capacity of Matter 193

10. Kinetic Theory of Gases 203

10.1. Certain Information on Classical Statistical Physics 203

10.2. Basic Equation 205

10.3. Maxwell’s Distribution Law 208

10.4. Boltzmann Distribution 213

10.5. Mean Free Path of Molecules 216

10.6. Equipartition of Energy 217

10.7. Heat Capacity of Gases 221

10.8. Transport Phenomena in Gases 228

10.9. Properties of Rarified Gases 236

11. Second Law Of Thermodynamics 239

11.1. Cycles. The Carnot Cycle 239

11.2. Reversible and Irreversible Processes 244

11.3. Second Law of Thermodynamics 247

11.4. Entropy and Free Energy 251

11.5. Statistical Interpretation of the Second Law of Thermodynamics 255

11.6. Fluctuations 257

11.7. Brownian Movement 260

11.8. Third Law of Thermodynamics 262

12. Real Gases And Vapours 265

12.1. Forces of Intermolecular Interaction 265

12.2. Van der Waals Equation of State 272

12.3. Isothermals of Real Gases. Phase Transitions 275

12.4. Superfluidity Of Helium 279

13. Liquids 283

13.1. Certain Properties of Liquids 283

13.2. Frenkel’s Hole Theory of the Liquid State 285

13.3. Diffusion and Viscosity Phenomena in Liquids 288

13.4. Surface Tension of Liquids 290

13.5. Wetting and Capillary Phenomena 293

13.6. Vaporization and Boiling of Liquids 298

III. Electrodynamics 303

14. Electric Charges. Coulomb’s Law 305

14.1. Introduction 305

14.2. Coulomb’s Law 307

15. Electric Field Strength And Displacement 311

15.1. Electric Field. Field Strength 311

15.2. Principle of Superposition of Electric Fields 314

15.3. Electric Displacement. Ostrogradsky-Gauss Electric Flux Theorem 318

16. Electric Field Potential 323

16.1. Work in Moving Electric Charge 323

16.2. Electrostatic Field Potential 325

16.3. Field Potential and Strength Relation 331

16.4. Conductors in an Electrostatic Field 333

17. Capacitance 337

17.1. Capacitance of an Isolated Conductor 337

17.2. Mutual Capacitance. Capacitors 339

18. Dielectrics In An Electric Field 345

18.1. Dipole Moments of Molecules of a Dielectric 345

18.2. Polarization of Dielectrics 349

18.3. Relation Between Displacement, Field Strength and Polarization Vectors 353

18.4. Ferroelectric Materials 357

19. Energy Of An Electric Field 361

19.1. Energy of a Charged Conductor and an Electric Field 361

19.2. Energy of a Polarized Dielectric 365

20. Direct Electric Current 367

20.1. Concept of an Electric Current 367

20.2. Current and Current Density 369

20.3. Electron Theory of Electrical Conduction371

21. Direct Electric Current 377

21.1. Extraneous Forces 377

21.2. Ohm’s Law and the Joule-Lenz Law 378

21.3. Kirchhoff’s Laws 384

22. Electric Current In Liquids And Gases 389

22.1. Faraday’s Laws of Electrolysis. Electrolytic Dissociation 389

22.2. Atomicity of Electric Charges 392

22.3. Electrolytic Conduction of Liquids 393

22.4. Electrical Conduction in Gases 395

22.5. Various Types of Gas Discharges 397

22.6. Certain Information on Plasma 400

23. Magnetic Field Of Direct Current 407

23.1. Magnetic Field. Ampere’s Law 407

23.2. The Biot-Savart-Laplace Law 411

23.3. Simplest Cases of Magnetic Fields 415

23.4. Interaction of Conductors 421

23.5. Total Current Law. Magnetic Circuits 424

23.6. Work Done in a Magnetic Field 431

24. Motion of Charged Particles 435

24.1. Lorentz Force 435

24.2. Hall Effect 440

24.3. Charge-to-Mass Ratio of Particles. Mass Spectroscopy 443

24.4. Charged Particle Accelerators 445

25. Electromagnetic Induction 455

25.1. Basic Law of Electromagnetic Induction 455

25.2. Phenomenon of Self-Induction 460

25.3. Mutual Induction 464

25.4. Energy of a Magnetic Field 467

26. Magnetic Materials In A Magnetic Field 471

26.1. Magnetic Moments of Electrons and Atoms471

26.2. An Atom in a Magnetic Field 474

26.3. Magnetic Materials in a Magnetic Field 478

26.4. Magnetic Field in Magnetic Materials 483

26.5. Ferromagnetic Materials 486

27. Fundamentals of Maxwell’s Theory 491

27.1. General Features of Maxwell’s Theory 491

27.2. Maxwell’s First Equation 493

27.3. Displacement Current. Maxwell’s Second Equation 496

27.4. Complete Set of Maxwell’s Equations 501

IV. Oscillations and Waves 507

28. Free Harmonic Oscillations 509

28.1. Harmonic Oscillations 509

28.2. Mechanical Harmonic Vibrations 514

28.3. Free Harmonic Oscillations in an Oscillatory Electric Circuit 521

28.4. Adding Harmonic Oscillations 525

29. Damped And Forced Oscillations 539

29.1. Damped Oscillations 539

29.2. Forced Mechanical Vibration 545

29.3. Forced Electrical Oscillation 551

30. Elastic Waves 559

30.1. Waves in an Elastic Medium 559

30.2. Travelling Wave Equation 564

30.3. Phase Velocity and Energy of Elastic Waves 571

30.4. Superposition of Waves 578

30.5. Interference of Waves 582

30.6. Doppler Effect in Acoustics 591

31. Electromagnetic Waves 595

31.1. Properties of Electromagnetic Waves 595

31.2. Energy of Electromagnetic Waves 601

31.3. Electromagnetic Radiation 606

31.4. Electromagnetic Spectrum 609

31.5. Reflection and Refraction 612

31.6. Doppler Effect 619

V. Optics 623

32. Interference of Light 625

32.1. Monochromaticity and Time Coherence of Light 625

32.2. Interference of Light. Spatial Coherence of Light 629

32.3. Interference of Light in Thin Films 638

32.4. Multiwave Interference 644

33. Diffraction of Light 651

33.1. Huygens-Fresnel Principle 651

33.2. Fresnel Diffraction 657

33.3. Fraunhofer Diffraction 659

33.4. Diffraction by a Space Lattice 669

33.5. Resolving Power of Optical Instruments 673

33.6. Holography 675

34. Absorption, Scattering And Dispersion Of Light 681

34.1. Interaction of Light With Matter 681

34.2. Absorption of Light 683

34.3. Scattering of Light 687

34.4. Normal and Anomalous Light Dispersion 690

34.5. Classical Electron Theory of Light Dispersion 693

34.6. Vavilov-Cherenkov Radiation 697

35. Polarization of Light 701

35.1. Polarization of Light in Reflection and Refraction at the Interface Between Two Dielectric Media 701

35.2. Birefringence (Double Refraction) 705

35.3. Interference of Polarized Light 713

35.4. Artificial Optical Anisotropy 719

35.5. Rotation of the Plane of Polarization 721

36. Thermal Radiation 725

36.1. Thermal Radiation. Kirchhoff’s Law 725

36.2. Stefan-Boltzmann and Wien Laws 731

36.3. Planck’s Formula 733

36.4. Optical Pyrometry 738

37. Fundamentals Of Quantum Optics 743

37.1. External Photoelectric Effect 743

37.2. Mass and Momentum of the Photon. Light Pressure 748

37.3. Compton Effect 751

37.4. Wave-Particle Duality of the Properties of Light 754

VI. Atomic and Molecular Physics 759

38. Elements Of Quantum Mechanics 761

38.1. Wave-Particle Dualism 761

38.2. Schrödinger Wave Equation 765

38.3. Motion of a Free Particle 769

38.4. A Particle in a One-Dimensional Infinitely Deep Potential Well 770

38.5. Linear Harmonic Oscillator 773

38.6. Heisenberg Indeterminacy Principle 779

38.7. Tunnel Effect 784

39. Structure Of Atoms And Molecules 789

39.1. The Hydrogen Atom and Hydrogen-Like Ions 789

39.2. Space Quantization 797

39.3. Pauli Exclusion Principle. Periodic Table 798

39.4. Chemical Bonds and Molecular Structure803

39.5. Optical Properties of Molecules. Molecular Spectra 807

39.6. Raman Scattering of Light 810

39.7. Luminescence. X rays 812

39.8. Stimulated Emission of Radiation. Lasers 817

VII. Basic Solid-State Physics 825

40. Structure Of Solids 827

40.1. Structure of Solids 827

40.2. Thermal Expansion of Solids 830

40.3. Brief Information on the Elastic Properties of Solids 832

40.4. Basic Concepts of Phase Transitions in Solids 837

41. Quantum Physics Of Solids 843

41.1. Basic Concepts of Quantum Statistics 843

41.2. Bose-Einstein and Fermi-Dirac Distribution Functions 844

41.3. Degeneracy of Systems 848

41.4. Degenerate Electron Fermi Gas in Metals851

41.5. Quantum Theory of Electrical Conduction in Metals 856

41.6. Superconductivity 860

41.7. Heat Capacity of Solids 866

41.8. Band Theory of Solids 873

41.9. Metals and Dielectrics in the Band Theory877

41.10. Electrical Conduction of Semiconductors 880

41.11. Electrical Contact Phenomena 885

VIII.Nuclear Physics and Elementary Particles 893

42. Properties Of Atomic Nuclei 895

42.1. Main Properties and Structure of the Nucleus 895

42.2. Binding Energy of Nuclei. Mass Defect 899

42.3. Nuclear Forces 903

42.4. Radioactivity 907

42.5. Alpha Decay 913

42.6. Beta Decay 915

42.7. Gamma Rays 920

42.8. Mössbauer Effect 924

42.9. Nuclear Reactions 929

43. Elementary Particles 945

43.1. Preliminary Information on Elementary Particles 945

43.2. Classification of Elementary Particles and Their Interaction 998

43.3. Certain Information on Various Elementary Particles 1002

43.4. Conservation Laws of Elementary Particles1007

43.5. Antiparticles 1010

43.6. Structure of the Nucleon 1014