LEADER 05106nam 22005893u 450 001 9911006701603321 005 20230801234207.0 010 $a1-5231-0965-3 010 $a0-486-14511-5 035 $a(CKB)3710000000322890 035 $a(EBL)1900648 035 $a(MiAaPQ)EBC1900648 035 $a(Au-PeEL)EBL1900648 035 $a(CaONFJC)MIL566953 035 $a(OCoLC)898771579 035 $a(EXLCZ)993710000000322890 100 $a20141229d2012|||| u|| | 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFundamental Formulas of Physics, Volume One 205 $a1st ed. 210 $aNewburyport $cDover Publications$d2012 215 $a1 online resource (863 p.) 225 1 $aDover Books on Physics ;$vv.1 300 $aDescription based upon print version of record. 311 08$a0-486-60595-7 327 $aDOVER 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 327 $aChapter 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 327 $a2. 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 327 $a4. 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 327 $a22. 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 327 $a4. The Gas Coefficients for Particular Molecular Models 330 $aThe republication of this book, unabridged and corrected, fills the need for a comprehensive work on fundamental formulas of mathematical physics. It ranges from simple operations to highly sophisticated ones, all presented most lucidly with terms carefully defined and formulas given completely. In addition to basic physics, pertinent areas of chemistry, astronomy, meteorology, biology, and electronics are also included.This is no mere listing of formulas, however. Mathematics is integrated into text, for the most part, so that each chapter stands as a brief summary or even short textbook of t 410 0$aDover Books on Physics 606 $aMathematical physics 606 $aMathematics -- Formulae 606 $aMathematics 615 0$aMathematical physics. 615 0$aMathematics -- Formulae. 615 0$aMathematics. 676 $a530.15 700 $aMenzel$b Donald H$012891 801 0$bAU-PeEL 801 1$bAU-PeEL 801 2$bAU-PeEL 906 $aBOOK 912 $a9911006701603321 996 $aFundamental Formulas of Physics, Volume One$94389878 997 $aUNINA