Fundamental Formulas of Physics

by Donald H. Menzel (Editor)

Overview

Volume 2 of a two-volume set. This important work covers basic mathematical formulas, statistics, nomograms, physical constants, classical mechanics, special theory of relativity, general theory of relativity, hydrodynamics and aerodynamics, boundary value problems in mathematical physics, heat and thermodynamics, statistical mechanics, kinetic theory of gases, viscosity, thermal conductions, electromagnetism, electronics and much more. 1955 ed.

Product Details

ISBN-13:	9780486605968
Publisher:	Dover Publications
Publication date:	06/01/1960
Series:	Dover Books on Physics Series
Pages:	432
Product dimensions:	5.40(w) x 7.96(h) x 0.87(d)

Table of Contents

Chapter 1 BASIC MATHEMATICAL FORMULAS by Philip Franklin
2. TRIGONOMETRY
3. DIFFERENTIAL CALCULUS
4. INTEGRAL CALCULUS
5. DIFFERENTIAL EQUATIONS
6. VECTOR ANALYSIS
7. TENSORS 
8. SPHERICAL HARMONICS
9. BESSEL FUNCTIONS
10. THE HYPERGEOMETRIC FUNCTION
11. LAGUERRE FUNCTIONS
12. HERMITE FUNCTIONS
13. MISCELLANEOUS FUNCTIONS
14. SERIES
15. ASYMPTOTIC EXPANSIONS
16. LEAST SQUARES
17. STATISTICS
18. MATRICES
19. GROUP THEORY
20. ANALYTIC FUNCTIONS  
21. INTEGRAL EQUATIONS
Chapter 2: STATISTICS by Joseph M. Cameron
1. INTRODUCTION
2. STANDARD DISTRIBUTIONS
3. ESTIMATORS OF THE LIMITING MEAN  
4. MEASURES OF DISPERSION
5. THE FITTING OF STRAIGHT LINES
6. LINEAR REGRESSION 
7. THE FITTING OF POLYNOMIALS
8. ENUMERATIVE STATISTICS
9. INTERVAL ESTIMATION
10. STATISTICAL TESTS OF HYPOTHESIS 
11. ANALYSIS OF VARIANCE
12. DESIGN OF EXPERIMENTS
13. PRECISION AND ACCURACY
14. LAW OF PROPAGATION OF ERROR
Chapter 3: NOMOGRAMS by Donald H. Menzel
1. NOMOGRAPHIC SOLUTIONS
Chapter 4: PHYSICAL CONSTANTS by Jesse W. M. DuMond and E. Richard Cohen
1.  CONSTANTS AND CONVERSION FACTORS OF ATOMIC AND NUCLEAR PHYSICS
2. TABLE OF LEAST-SQUARES-ADJUSTED OUTPUT VALUES
Chapter 5: CLASSICAL MECHANICS by Henry Zatzkis
1.  MECHANICS OF A SINGLE MASS POINT AND A SYSTEM OF MASS POINTS
Chapter 6: SPECIAL THEORY OF RELATIVITY
by Henry Zatzkis
1. THE KINEMATICS OF THE SPACE-TIME CONTINUUM
2. DYNAMICS
3. MISCELLANEOUS APPLICATIONS
4. SPINOR CALCULUS
5. FUNDAMENTAL RELATIVISTIC INVARIANTS 
Chapter 7: THEGENERALTHEORYOFRELATIVITY
by Henry Zatzkis
1. MATHEMATICAL BASIS OF GENERAL RELATIVITY
Chapter 8: HYDRODYNAMICS AND AERODYNAMICS by Max M. Munk
1. ASSUMPTIONS AND DEFINITIONS
2. HYDROSTATICS
3. KINEMATICS
4. THERMODYNAMICS
5. FORCES AND STRESSES
6. DYNAMIC EQUATIONS
7.  EQUATIONS OF CONTINUITY FOR STEADY POTENTIAL FLOW OF NONVISCOUS FLUIDS
8. PARTICULAR SOLUTIONS OF LAPLACE'S EQUATION
9. APPARENT ADDITIONAL MASS 
10. AIRSHIP THEORY
11.  WING PROFILE CONTOURS; Two-DIMENSIONAL FLOW WITH CIRCU­LATION
12. AIRFOILS IN THREE DIMENSIONS
13. THEORY OF A UNIFORMLY LOADED PROPELLER DISK
14. FREE SURFACES
15. VORTEX MOTION 
16. WAVES
17. MODEL RULES
18. VISCOSITY
19. GAS FLOW, ONE-AND Two-DIMENSIONAL
20. GAS FLOWS, THREE DIMENSIONAL
21. HYPOTHETICAL GASES
22. SHOCKWAVES
23. COOLING
24. BOUNDARY LAYERS
Chapter 9: BOUNDARY VALUE PROBLEMS IN MATHE­MATICAL PHYSICS by Henry Zatzkis
1. THE SIGNIFICANCE OF THE BOUNDARY
Chapter 10: HEAT AND THERMODYNAMICS
by Percy W. Bridgman
1. FORMULAS  OF THERMODYNAMICS
Chapter 11 : STATISTICAL MECHANICS by Donald H.  Menzel
1. STATISTICS OF MOLECULAR ASSEMBLIES
Chapter 12:  KINETIC THEORY OF GASES: VISCOSITY, THERMAL CONDUCTION, AND DIFFUSION by Sydney Chapman
1.  PRELIMINARY DEFINITIONS AND EQUATIONS FOR A MIXED GAS, NOT IN EQUILIBRIUM
2. RESULTS FOR A GAS IN EQUILIBRIUM
3. NONUNIFORM GAS
4. THE GAS COEFFICIENTS FOR PARTICULAR MOLECULAR MODELS
5.  ELECTRICAL CONDUCTIVITY IN A NEUTRAL IONIZED GAS WITH OR WITHOUT A MAGNETIC FIELD
Chapter 13: ELECTROMAGNETIC THEORY by Nathaniel H. Frank and William Tobocman
1. DEFINITIONS AND FUNDAMENTAL LAWS
2.1. Fundamental laws
3. MAGNETOSTATICS
4. ELECTRIC CIRCUITS
5. ELECTROMAGNETIC RADIATION
Chapter 14: ELECTRONICS
1. ELECTRON BALLISTICS
2. SPACE CHARGE
3. EMISSION OF ELECTRODES
4. FLUCTUATION EFFECTS
Chapter 15: SOUND AND ACOUSTICS by Philip M. Morse
1. SOUND AND ACOUSTICS
INDEX