附註:Includes index.
Section I: Elementary constants, products, formulas -- Greek alphabet and special constants -- Special products and factors -- Binomial formula and binomial coefficients -- Complex numbers -- Solutions of algebraic equations -- Conversion factors -- Section II: Geometry -- Geometric formulas -- Formulas from plane analytic geometry -- Special plane curves -- Formulas from solid analytical geometry -- Special moments of inertia -- Section III: Elementary transcendental functions -- Trigonometric function -- Exponential and logarithmic function -- Hyperbolic function -- Section IV: Calculus -- Derivative -- Indefinite integrals -- Tables of special indefinite integral -- Definite integral -- Section V: Differential equations and vector analysis -- Basic differential equations and solutions -- Formulas from vector analysis -- Section VI: Series -- Series of constant -- Taylor series -- Bernoulli and euler numbers -- Fourier series -- Section VII: special functions and polynomials -- Gamma function -- Beta function -- Bessel function -- Legendre and associated legendre function -- Hermite polynomial -- Laguerre and associated laguerre polynomial -- Chebyshev polynomial -- Hypergeometric function -- Section VIII: Laplace and fourier transforms -- Laplace transforms -- Fourier transforms -- Section IX: Elliptic and miscellaneous special functions -- Elliptic functions -- Miscellaneous and riemann zeta functions -- Section X: Inequalities and infinite products -- Inequalities -- Infinite products -- Section XI: Probability and statistics -- Descriptive statistics -- Random variables -- Probability distributions -- Section XII: Numerical methods -- Interpolation -- Quadrature -- Solution of nonlinear equations -- Numerical methods for ordinary differential equations -- Numerical methods for partial differential equations -- Iteration methods for linear systems.
摘要:Students and research workers in mathematics, physics, engineering and other sciences will find this compilation of more than 2000 mathematical formulas and tables [include exact number?] invaluable. They will see quickly why half a million copies were sold of the first edition! All the information included is practical -- rarely used results are excluded. Topics range from elementary to advanced-from algebra, trigonometry and calculus to vector analysis, Bessel functions, Legendre polynomials and elliptic integrals. Great care has been taken to present all results concisely and clearly. Excellent to keep as a handy reference! Students and research workers in mathematics, physics, engineering, and other sciences will find this compilation of more than 2,000 mathematical formulas and tables invaluable. Half a million copies were sold of the first edition! Excluding rarely used results, topics range from elementary to advanced, from algebra, trigonometry, and calculus to vector analysis, Bessel, and Legendre functions and elliptical functions. -- Provided by publisher.
