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The book is a large collection of integrals and formulas (about 12,000) relating to the basic and special functions. The fourth edition is significantly expanded sections on indefinite and definite best handheld vacuum integrals of elementary functions and definite integrals of special functions. Included are the integrals of the special features that were absent in the previous edition. In connection with this chapter pertaining best handheld vacuum to special functions, complemented by the necessary partitions. The head of the integral transformation occurred in the third edition, is excluded. Its material is posted elsewhere in the book. The book is intended for research institutes, laboratories, engineering offices and researchers in mathematics, physics, engineering.
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Download - Books - Tables of integrals, sums, series and products - Gradshtein IS, IM Ryzhik - Depositfiles.com Download - Books - Tables of integrals, sums, series and products - Gradshtein IS, IM Ginger. - Letitbit.net CONTENTS From the preface to the first edition 10 From the preface to the third edition 10 Preface to the fourth edition 11 About the order of the formula 12 0 0 1 Introduction The final amount 15 0 11 Progressions (15) 0 12 Amounts best handheld vacuum powers of natural numbers (15) 0 13 Sums the reciprocals of the natural numbers (16) 0 14 The sums of the reciprocals of the natural numbers (17) 0 15 Amounts of binomial coefficients (17) 0 2 Numerical series and infinite products 19 0 21 The convergence of numerical series (19) 0 22 Signs of convergence (19) 0 24 23-0 Examples of numerical series (21) 0 25 Infinite products (25) 0 26 Examples of infinite products (26) 0 3 0 Function ranks 26 30 Definitions and theorems (26) 0 31 Power series (27) 0 32 trigonometric series (30) 0 33 asymptotic series (32) 0 4 Some formulas of differential calculus 32 0 41 Differentiation of the definite integral of the parameter (32) 0 42 The derivative of n-th order of the product (33) 0 43 The derivative of n-th order of complex function (33) 1 ELEMENTARY OPERATIONS 1 of 1 degree binomials 35 Jan. 11 Power series (35) 12 January Series of rational fractions (36) February 1 Exponential function 36 Jan. 21 Presentation as a series (36) 22 January functional relationships best handheld vacuum (37) 1 23 Rows of exponential functions (37) 1 4 3-1-1 trigonometric and hyperbolic functions 37 Introduction January 30 (37) January 31 The basic functionality of (38) 1 32 expression of the degree of trigonometric and hyperbolic functions in terms of functions of multiple arguments (arcs) (39 ) 1 33 Expression best handheld vacuum of trigonometric and hyperbolic functions of multiple arguments best handheld vacuum (arc) through the extent of these functions (41) 1 34 Certain amounts of trigonometric best handheld vacuum and hyperbolic functions (43) 1 35 degrees Amounts multiple arcs (44) 1 36 The sums of trigonometric functions best handheld vacuum of multiple arcs (46 ) 1 37 Amounts tangents multiple arcs (46) 1 38 Amounts resulting in the hyperbolic tangent and hyperbolic cotangent (46) 1 39 Presentation of cosines and sines of multiple arcs in the form of finite best handheld vacuum products (47) 1 41 The expansion of trigonometric and hyperbolic functions in power series (48) 1 42 Partial fraction best handheld vacuum expansion best handheld vacuum (50) 1 43 Submission best handheld vacuum of an infinite product (51) 1 44-1 45 trigonometric series (52) 1 46 The series of works demonstrative and trigonometric functions (56) 1 47 rows hyperbolic functions (56 ) 1 48 "Angle of parallelism" Lobachevsky P (x) (57) 1 49 Hyperbolic amplitude (gudermanian) gd x (57) May 1 logarithmic function 58 1 51 Presentation as a series (58) 1 52 rows logarithmic functions best handheld vacuum (60) 1 6 Inverse trigonometric and inverse best handheld vacuum hyperbolic functions 61 1 61 Area of definition (61) 1 62-1 63 functional relationships (61) 1 64 Presentation as a series (65) 2 of indefinite integrals of elementary functions 2 0 2 00 67 Introduction General remarks ( 67) February 1 Main integrals (68) 2 02 General formula (69) 2 1 Rational functions 70 2 10 General Rules of integration (70) 2 11-2 13 forms containing binomials a + bhk (72) 2 14 forms containing binomials best handheld vacuum xn 1 (77) February 15 forms, containing a pair of binomials a + bx, and a + bx (80) February 16 forms containing the trinomial and + bxk + cx2k (81) February 17 forms containing quadratic trinomial a + bx + ex2 and the degree of x (82) February 18 forms containing quadratic trinomial a + bx + ex2 and binomial best handheld vacuum a + bx (84) February 2 Algebraic functions 84 20 February Introduction (84) February 21 forms containing binomial a + bxk and Öh (85 ) 2 22-2 23 forms containing nÖ (a + bx) k (86) 2 24 forms containing Ö (a + bx) and binomial a + bx (89) 2 25 forms containing Ö (a + bx + cx2 ) (94) February 26 forms containing best handheld vacuum Ö (a + bx + ex2) and integer powers of x (95) February 27 forms containing Ö (a + sx2) and integer powers of x (100) February 28 forms containing Ö (a + bx + ex2) and polynomials of first and second degree (103) February 29 integrals resulting in elliptic and psevdoellipticheskim (104) March 2 exponential function 106