Fundamental Formulas of Physics, Volume One

by Donald H. Menzel (Editor)

Overview

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.

Product Details

ISBN-13:	9780486145112
Publisher:	Dover Publications
Publication date:	03/29/2012
Series:	Dover Books on Physics , #1
Sold by:	Barnes & Noble
Format:	eBook
Pages:	416
File size:	28 MB
Note:	This product may take a few minutes to download.

Table of Contents

Chapter 1 BASIC MATHEMATICAL FORMULAS by Philip Franklin 2. TRIGONOMETRY 3. DIFFERENTIAL CALCULUS4. INTEGRAL CALCULUS 5. DIFFERENTIAL EQUATIONS6. VECTOR ANALYSIS 7. TENSORS 8. SPHERICAL HARMONICS9. BESSEL FUNCTIONS 10. THE HYPERGEOMETRIC FUNCTION11. LAGUERRE FUNCTIONS 12. HERMITE FUNCTIONS13. MISCELLANEOUS FUNCTIONS 14. SERIES 15. ASYMPTOTIC EXPANSIONS 16. LEAST SQUARES 17. STATISTICS18. MATRICES19. GROUP THEORY20. ANALYTIC FUNCTIONS 21. INTEGRAL EQUATIONSChapter 2: STATISTICS by Joseph M. Cameron 1. INTRODUCTION 2. STANDARD DISTRIBUTIONS 3. ESTIMATORS OF THE LIMITING MEAN 4. MEASURES OF DISPERSION5. THE FITTING OF STRAIGHT LINES6. LINEAR REGRESSION 7. THE FITTING OF POLYNOMIALS8. ENUMERATIVE STATISTICS9. INTERVAL ESTIMATION10. 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 SOLUTIONSChapter 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 VALUESChapter 5: CLASSICAL MECHANICS by Henry Zatzkis 1. MECHANICS OF A SINGLE MASS POINT AND A SYSTEM OF MASS POINTSChapter 6: SPECIAL THEORY OF RELATIVITYby Henry Zatzkis 1. THE KINEMATICS OF THE SPACE-TIME CONTINUUM 2. DYNAMICS 3. MISCELLANEOUS APPLICATIONS4. SPINOR CALCULUS5. FUNDAMENTAL RELATIVISTIC INVARIANTS Chapter 7: THEGENERALTHEORYOFRELATIVITY by Henry Zatzkis 1. MATHEMATICAL BASIS OF GENERAL RELATIVITYChapter 8: HYDRODYNAMICS AND AERODYNAMICS by Max M. Munk 1. ASSUMPTIONS AND DEFINITIONS2. HYDROSTATICS3. KINEMATICS 4. THERMODYNAMICS5. FORCES AND STRESSES6. DYNAMIC EQUATIONS7. EQUATIONS OF CONTINUITY FOR STEADY POTENTIAL FLOW OF NONVISCOUS FLUIDS8. PARTICULAR SOLUTIONS OF LAPLACE'S EQUATION9. APPARENT ADDITIONAL MASS 10. AIRSHIP THEORY11. WING PROFILE CONTOURS; Two-DIMENSIONAL FLOW WITH CIRCU­LATION12. AIRFOILS IN THREE DIMENSIONS13. THEORY OF A UNIFORMLY LOADED PROPELLER DISK 14. FREE SURFACES 15. VORTEX MOTION 16. WAVES 17. MODEL RULES18. VISCOSITY19. GAS FLOW, ONE-AND Two-DIMENSIONAL20. GAS FLOWS, THREE DIMENSIONAL 21. HYPOTHETICAL GASES22. SHOCKWAVES23. COOLING24. BOUNDARY LAYERS Chapter 9: BOUNDARY VALUE PROBLEMS IN MATHE­MATICAL PHYSICS by Henry Zatzkis 1. THE SIGNIFICANCE OF THE BOUNDARYChapter 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 EQUILIBRIUM2. RESULTS FOR A GAS IN EQUILIBRIUM 3. NONUNIFORM GAS4. THE GAS COEFFICIENTS FOR PARTICULAR MOLECULAR MODELS 5. ELECTRICAL CONDUCTIVITY IN A NEUTRAL IONIZED GAS WITH OR WITHOUT A MAGNETIC FIELDChapter 13: ELECTROMAGNETIC THEORY by Nathaniel H. Frank and William Tobocman 1. DEFINITIONS AND FUNDAMENTAL LAWS2.1. Fundamental laws3. MAGNETOSTATICS4. ELECTRIC CIRCUITS 5. ELECTROMAGNETIC RADIATION Chapter 14: ELECTRONICS 1. ELECTRON BALLISTICS2. SPACE CHARGE 3. EMISSION OF ELECTRODES 4. FLUCTUATION EFFECTSChapter 15: SOUND AND ACOUSTICS by Philip M. Morse 1. SOUND AND ACOUSTICSINDEX