The republication of this book, unabridged and corrected, fills the need for a comprehensive work on fundamental formulas of mathematical physics. It ranges from simple operations to highly sophisticated ones, all presented most lucidly with terms carefully defined and formulas given completely. In addition to basic physics, pertinent areas of chemistry, astronomy, meteorology, biology, and electronics are also included.
This is no mere listing of formulas, however. Mathematics is integrated into text, for the most part, so that each chapter stands as a brief summary or even short textbook of the field represented. The book, therefore, fills other needs than the primary function of reference and guide for research. The student will find it a handy review of familiar fields and an aid to gaining rapid insight into the techniques of new ones.
The teacher will study it as a useful guide to a broad concept of physics. The chemist, astronomer, meteorologist, biologist, and engineer will not only derive valuable aid from their special chapters, but will understand how their specialty fits into the large scheme of physics.
Vol. 1 chapter titles: Basic Mathematical Formulas, Statistics, Nomograms, Physical Constants, Classical Mechanics, Special Theory of Relativity, The General Theory of Relativity, Hydrodynamics and Aerodynamics, Boundary Value Problems in Mathematical Physics, Heat and Thermodynamics, Statistical Mechanics, Kinetic Theory of Gases: Viscosity, Thermal Conduction, and Diffusion, Electromagnetic Theory, Electronics, Sound and Acoustics.
Vol. 2 chapter titles: Geometrical Optics, Physical Optics, Electron Optics, Molecular Spectra, Atomic Spectra, Quantum Mechanics, Nuclear Theory, Cosmic Rays and High-Energy Phenomena, Particle Accelerators, Solid State, Theory of Magnetism, Physical Chemistry, Basic Formulas of Astrophysics, Celestial Mechanics, Meteorology, Biophysics.
Additional information
Weight
0.4 kg
Product Properties
Year of Publication
2011
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 HARMONICS9. BESSEL FUNCTIONS 10. THE HYPERGEOMETRIC FUNCTION11. 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 POLYNOMIALS8. 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 CIRCU?ATION 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 MATHE?ATICAL 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 LAWS2.1. 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
Author
Menzel
ISBN/ISSN
9780486605951
Binding
Paperback
Edition
1
Publisher
DOVER
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