Schaum's Outline of Mathematical Handbook of Formulas and Tables, 3ed (Schaum's Outline Series)

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Schaum's Outlines-Problem Solved Contains over 2,400 mathematical formulas and tables, covering topics from elementary to advanced mathematics. Formulas: -- Elementary Constants, Products, Formulas -- Geometry -- Elementary Transcendental Functions -- Calculus -- Differential Equations and Vector Analysis -- Series -- Special Functions and Polynomials -- Laplace and Fourier Transforms -- Elliptic and Miscellaneous Special Functions -- Inequalities and Infinite Products -- Probability and Statistics -- Numerical Methods -- Tables: -- Logarithmic, Trigonometric, Exponential Functions -- Factorial and Gamma Function, Binomial Coefficients -- Bessel Functions -- Legendre Polynomials -- Elliptic Integrals -- Financial Tables -- Probability and Statistics Contents......Page 4 Part A: Formulas......Page 8 1. Greek Alphabet and Special Constants......Page 9 2. Special Products and Factors......Page 11 3. The Binomial Formula and Binomial Coefficients......Page 13 4. Complex Numbers......Page 16 5. Solutions of Algebraic Equations......Page 19 6. Conversion Factors......Page 21 7. Geometric Formulas......Page 22 8. Formulas from Plane Analytic Geometry......Page 28 9. Special Plane Curves......Page 34 10. Formulas from Solid Analytic Geometry......Page 40 11. Special Moments of Inertia......Page 47 12. Trigonometric Functions......Page 49 13. Exponential and Logarithmic Functions......Page 59 14. Hyperbolic Functions......Page 62 15. Derivatives......Page 68 16. Indefinite Integrals......Page 73 17. Tables of Special Indefinite Integrals......Page 77 18. Definite Integrals......Page 114 19. Basic Differential Equations and Solutions......Page 122 20. Formulas from Vector Analysis......Page 125 21. Series of Constants......Page 140 22. Taylor Series......Page 144 23. Bernoulli and Euler Numbers......Page 148 24. Fourier Series......Page 150 25. The Gamma Function......Page 155 26. The Beta Function......Page 158 27. Bessel Functions......Page 159 28. Legendre and Associated Legendre Functions......Page 170 29. Hermite Polynomials......Page 175 30. Laguerre and Associated Laguerre Polynomials......Page 177 31. Chebyshev Polynomials......Page 181 32. Hypergeometric Functions......Page 184 33. Laplace Transforms......Page 186 34. Fourier Transforms......Page 199 35. Elliptic Functions......Page 204 36. Miscellaneous and Riemann Zeta Functions......Page 209 37. Inequalities......Page 211 38. Infinite Products......Page 213 39. Descriptive Statistics......Page 214 40. Probability......Page 223 41. Random Variables......Page 229 42. Interpolation......Page 233 43. Quadrature......Page 237 44. Solution of Nonlinear Equations......Page 239 45. Numerical Methods for Ordinary Differential Equations......Page 241 46. Numerical Methods for Partial Differential Equations......Page 243 47. Iteration Methods for Linear Systems......Page 246 Part B: Tables......Page 248 1. Four Place Common Logarithms log[sub(10)] N or log N......Page 249 2. Sin x (x in degrees and minutes)......Page 251 3. Cos x (x in degrees and minutes)......Page 252 4. Tan x (x in degrees and minutes)......Page 253 5. Conversion of Radians to Degrees, Minutes, and Seconds or Fractions of Degrees......Page 254 6. Conversion of Degrees, Minutes, and Seconds to Radians......Page 255 7. Natural or Napierian Logarithms log[sub(e)] x or ln x......Page 256 8. Exponential Functions e[sup(x)]......Page 258 9. Exponential Functions e[sup(-x)]......Page 259 10. Exponential, Sine, and Cosine Integrals......Page 260 11. Factorial n......Page 261 12. Gamma Function......Page 262 13. Binomial coefficients......Page 263 15. Bessel Functions J[sub(1)](x)......Page 265 17. Bessel Functions Y[sub(1)](x)......Page 266 19. Bessel Functions I[sub(1)](x)......Page 267 21. Bessel Functions K[sub(1)](x)......Page 268 23. Bessel Functions Bei(x)......Page 269 25. Bessel Functions Kei(x)......Page 270 26. Values for Approximate Zeros of Bessel Functions......Page 271 27. Legendre Polynomials P[sub(n)](x)......Page 272 28. Legendre Polynomials P[sub(n)](cos θ)......Page 273 29. Complete Elliptic Integrals of First and Second Kinds......Page 274 31. Incomplete Elliptic Integral of the Second Kind......Page 275 32. Compound amount: (1 + r)[sup(n)]......Page 276 33. Present Value of an Amount: (1 + r)[sup(-n)]......Page 277 34. Amount of an Annuity: (1+r)[sup(n)] - 1/r......Page 278 35. Present Value of an Annuity: 1-(1+r)[sup(-n)]/r......Page 279 36. Areas Under the Standard Normal Curve......Page 280 37. Ordinates of the Standard Normal curve......Page 281 38. Percentile Values (t[sub(p)]) for Student's t Distribution......Page 282 39. Percentile Values (χ[sup(2)][sub(p)]) for χ[sup(2)] (Chi-Square) Distribution......Page 283 40. 95th Percentile Values for the F distribution......Page 284 41. 99th Percentile Values for the F distribution......Page 285 42. Random Numbers......Page 286 Index of Special Symbols and Notations......Page 287 C......Page 289 I......Page 290 O......Page 291 S......Page 292 Z......Page 293 Schaum's has Satisfied Students for 50 Years. . Now Schaum's Biggest Sellers are in New Editions . . For half a century, more than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's celebrates its 50th birthday with a brand-new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments in every field of study. . Schaum's Outlines-Problem Solved. . More than 1 Million sold . . This third edition covers elementary concepts in algebra, geometry, etc. and more advanced concepts in differential equations and vector analysis. It also expands its section on Probability and Statistics and includes a new section on Financial Mathematics to keep up with the current developments in finance studies as well as in the studies of math and the sciences Contains Over 2,400 Mathematical Formulas And Tables, Covering Topics From Elementary To Advanced Mathematics. Formulas: -- Elementary Constants, Products, Formulas -- Geometry -- Elementary Transcendental Functions -- Calculus -- Differential Equations And Vector Analysis -- Series -- Special Functions And Polynomials -- Laplace And Fourier Transforms -- Elliptic And Miscellaneous Special Functions -- Inequalities And Infinite Products -- Probability And Statistics -- Numerical Methods -- Tables: -- Logarithmic, Trigonometric, Exponential Functions -- Factorial And Gamma Function, Binomial Coefficients -- Bessel Functions -- Legendre Polynomials -- Elliptic Integrals -- Financial Tables -- Probability And Statistics. Murray R. Spiegel, Seymour Lipschutz, John Liu. Includes Index.