Author 
Gradshtein, I. S. (Izrail Solomonovich),

Subject 
Mathematics  Tables.

Alt Name 
Ryzhik, I. M. (Iosif Moiseevich),


Zwillinger, Daniel, 1957


Moll, Victor H., 1956


Translation of: Gradshtein, I. S. (Izrail Solomonovich).
Tablitsy integralov, summ, riadov i proizvedenii. English.

Description 
1 online resource (1 volume) : illustrations 
Edition 
Eighth edition. 
Note 
Translated from the Russian. 

Print version record. 
Bibliography Note 
Includes bibliographical references and index. 
Contents 
Front Cover  Table of Integrals, Series, and Products  Copyright  Contents  Preface to the Eighth Edition  Acknowledgments  The Order of Presentation of the Formulas  Use of the Tables  Bernoulli and Euler Polynomials and Numbers  Elliptic Functions and Elliptic Integrals  The Jacobi Zeta Function and Theta Functions  Exponential and Related Integrals  Hermite and Chebyshev Orthogonal Polynomials  Bessel Functions  Parabolic Cylinder Functions and Whittaker Functions  Mathieu Functions  Index of Special Functions  Notation  Note on the Bibliographic References  0 Introduction  0.1 Finite sums  0.11 Progressions  0.12 Sums of powers of natural numbers  0.13 Sums of reciprocals of natural numbers  0.14 Sums of products of reciprocals of natural numbers  0.15 Sums of the binomial coefficients  0.2 Numerical series and infinite products  0.21 The convergence of numerical series  0.22 Convergence tests  0.230.24 Examples of numerical series  0.25 Infinite products  0.26 Examples of infinite products  0.3 Functional series  0.30 Definitions and theorems  0.31 Power series  0.32 Fourier series  0.33 Asymptotic series  0.4 Certain formulas from differential calculus  0.41 Differentiation of a definite integral with respect to a parameter  0.42 The nth derivative of a product (Leibniz's rule)  0.43 The nth derivative of a composite function  0.44 Integration by substitution  1 Elementary Functions  1.1 Power of Binomials  1.11 Power series  1.12 Series of rational fractions  1.2 The Exponential Function  1.21 Series representation  1.22 Functional relations  1.23 Series of exponentials  1.31.4 Trigonometric and Hyperbolic Functions  1.30 Introduction  1.31 The basic functional relations. 

3.463.48 Combinations of exponentials of more complicated arguments and powers  3.5 Hyperbolic Functions  3.51 Hyperbolic functions  3.523.53 Combinations of hyperbolic functions and algebraic functions  3.54 Combinations of hyperbolic functions and exponentials  3.553.56 Combinations of hyperbolic functions, exponentials, and powers  3.64.1 Trigonometric Functions  3.61 Rational functions of sines and cosines and trigonometric functions of multiple angles  3.62 Powers of trigonometric functions  3.63 Powers of trigonometric functions and trigonometric functions of linear functions  3.643.65 Powers and rational functions of trigonometric functions  3.66 Forms containing powers of linear functions of trigonometric functions  3.67 Square roots of expressions containing trigonometric functions  3.68 Various forms of powers of trigonometric functions  3.693.71 Trigonometric functions of more complicated arguments  3.723.74 Combinations of trigonometric and rational functions  3.75 Combinations of trigonometric and algebraic functions  3.763.77 Combinations of trigonometric functions and powers  3.783.81 Rational functions of x and of trigonometric functions  3.823.83 Powers of trigonometric functions combined with other powers  3.84 Integrals containing 1 − k2 sin2 x, 1 − k2 cos2 x, and similar expressions  3.853.88 Trigonometric functions of more complicated arguments combined with powers  3.893.91 Trigonometric functions and exponentials  3.92 Trigonometric functions of more complicated arguments combined with exponentials  3.93 Trigonometric and exponential functions of trigonometric functions  3.943.97 Combinations involving trigonometric functions, exponentials, and powers  3.983.99 Combinations of trigonometric and hyperbolic functions. 
Summary 
The Table of Integrals, Series, and Products is the essential reference for integrals in the English language. Mathematicians, scientists, and engineers, rely on it when identifying and subsequently solving extremely complex problems. Since publication of the first Englishlanguage edition in 1965, it has been thoroughly revised and enlarged on a regular basis, with substantial additions and, where necessary, existing entries corrected or revised. The seventh edition includes a fully searchable CDRom. Fully searchable CD that puts information at your fingertips included with text Most up to date listing of integrals, series andproducts  Provides accuracy and efficiency in work. 
Note 
English. 
ISBN 
9780123849335 

9780123849342 

0123849349 
OCLC # 
1055555849 
Additional Format 
Print version: Gradshtein, I.S. (Izrail Solomonovich). Tablitsy integralov, summ, riadov i proizvedenii. English. Table of integrals, series, and products. Eighth edition. Waltham, MA : Academic Press, an imprint of Elsevier, [2015] 9780123849335 (DLC) 2014010276 (OCoLC)936141349 
