Fundamental Formulas of Physics, Volume 1

Couverture
Courier Corporation, 1960 - 741 pages
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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.

 

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Table des matières

BASIC MATHEMATICAL FORMULAS
1
STATISTICS
107
NOMOGRAMS
141
PHYSICAL CONSTANTS
145
CLASSICAL MECHANICS
155
SPECIAL THEORY OF RELATIVITY
178
THE GENERAL THEORY OF RELATIVITY
210
HYDRODYNAMICS AND AERODYNAMICS
218
BOUNDARY VALUE PROBLEMS IN MATHEMATICAL PHYSICS
244
HEAT AND THERMODYNAMICS
264
STATISTICAL MECHANICS
277
KINETIC THEORY OF GASES VISCOSITY THERMAL CONDUCTION AND DIFFUSION
290
ELECTROMAGNETIC THEORY
307
ELECTRONICS
350
SOUND AND ACOUSTICS
355
Droits d'auteur

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Fréquemment cités

Page 88 - B are conformable for multiplication if the number of columns of A equals the number of rows of B.
Page 10 - B . sin c = sin b . sin C cos a = cos b . cos c + sin b . sin c cos b = cos a . cos c + sin a . sin c cos A cos B cos c = cos a . cos b + sin a . sin b . cos C ..2), cotg b . sin c = cos G.
Page 152 - The binding energy of the electron in the hydrogen atom has been included in the quantity. The mass of the electron when found in the hydrogen atom is not m, but more correctly ги(1 — Í a* + •••). Compton wave-length of the electron Act = h/(mc) = al/(2-R~) = (24-2626 ±0-0002) X X 10...
Page 154 - These formulas apply only to nonrelativistic velocities. If the velocity of the particle is not negligible compared to the velocity of light, c, or the energy not negligible compared to the rest mass energy, we must use Xc = Xje...
Page 7 - A cos (A ± B) = cos A • cos B =F sin A • sin B...
Page 83 - The method of least squares gives the line for which the sum of the squares of the residuals is a minimum.
Page 131 - Type I Error - Rejecting the null hypothesis when it is in fact, true.
Page 36 - ... cos bx, or kxme™ sin bx. Here m is zero or a positive integer, and a and b are any real numbers. Then the form of the particular integral / may be predicted by the following rules. CASE 1 . E(x) is a single term T. Let D be written for d/dx, so that the given equation is P(D)y = E(x), where P(D) = AJP + A, _,/>"-
Page 91 - B, ..., and this one rule of combination is called a group if the following conditions are satisfied. I. If A and B are any elements of the set, whether distinct or not, the product C = AB is also an element of the set.
Page 37 - With each term in / < \ i. associate a polynomial Q(D) = F« as before. Arrange in one group all the terms that have the same F. The particular integral of the given equation will be the sum of solutions of equations each of which has one group on the right . For any one such equation, the form of the particular integral is given as for Case 1 , with q the highest power of F associated with any term of the group on the right. After the form has been found in Case...

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À propos de l'auteur (1960)

Donald H. Menzel was Director of Harvard College Observatory, Paine Professor of Practical Astronomy, and Professor of Astrophysics at Harvard University.

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