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Fundamental Formulas of Physics, Volume One



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Autore: Menzel Donald H Visualizza persona
Titolo: Fundamental Formulas of Physics, Volume One Visualizza cluster
Pubblicazione: Newburyport, : Dover Publications, 2012
Edizione: 1st ed.
Descrizione fisica: 1 online resource (863 p.)
Disciplina: 530.15
Soggetto topico: Mathematical physics
Mathematics -- Formulae
Mathematics
Note generali: Description based upon print version of record.
Nota di contenuto: DOVER BOOKS ON PHYSICS; Title Page; Copyright Page; PREFACE; Table of Contents; Chapter 1 - BASIC MATHEMATICAL FORMULAS; 1. Algebra; 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; Bibliography
Chapter 2 - STATISTICS1. 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; 1. Nomographic Solutions; Bibliography; Chapter 4 - PHYSICAL CONSTANTS; 1. Constants and Conversion Factors of Atomic and Nuclear Physics
2. Table of Least-Squares-Adjusted Output ValuesBibliography; Chapter 5 - CLASSICAL MECHANICS; 1. Mechanics of a Single Mass Point and a System of Mass Points; Bibliography; Chapter 6 - SPECIAL THEORY OF RELATIVITY; 1. The Kinematics of the Space-Time Continuum; 2. Dynamics; 3. Miscellaneous Applications; 4. Spinor Calculus; 2. Fundamental Relativistic Invariants; Bibliography; Chapter 7 - THE GENERAL THEORY OF RELATIVITY; 1. Mathematical Basis of General Relativity; Bibliography; Chapter 8 - HYDRODYNAMICS AND AERODYNAMICS; 1. Assumptions and Definitions; 2. Hydrostatics; 3. Kinematics
4. Thermodynamics5. Forces and Stresses; 6. Dynamic Equations; 7. Equations of Continuity for Steady Potential Flow of Nonviscous Fluids (see also 3.14, 3.15); 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 Gates
22. Shockwaves23. Cooling; 24. Boundary layers; Bibliography; Chapter 9 - BOUNDARY VALUE PROBLEMS IN MATHEMATICAL PHYSICS; 1. The Significance of the Boundary; Bibliography; Chapter 10 - HEAT AND THERMODYNAMICS; 1. Formulas of Thermodynamics; Bibliography; Chapter 11 - STATISTICAL MECHANICS; 1. Statistics of Molecular Assemblies; Bibliography; Chapter 12 - KINETIC THEORY OF GASES : VISCOSITY, THERMAL CONDUCTION, AND DIFFUSION; 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
Sommario/riassunto: 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 t
Titolo autorizzato: Fundamental Formulas of Physics, Volume One  Visualizza cluster
ISBN: 1-5231-0965-3
0-486-14511-5
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9911006701603321
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Serie: Dover Books on Physics