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Table of integrals, series, and products /
The eighth edition of the classic Gradshteyn and Ryzhik is an updated completely revised edition of what is acknowledged universally by mathematical and applied science users as the key reference work concerning the integrals and special functions. The book is valued by users of previous editions of...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
Waltham, MA :
Academic Press,
[2015]
|
| Edición: | Eighth edition. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 082 | 0 | 4 | |a 510.2/1 |2 23 |
| 100 | 1 | |a Gradshte�in, I. S. |q (Izrail� Solomonovich), |e author. | |
| 240 | 1 | 0 | |6 880-01 |a Tabli�t�sy integralov, summ, r�i�adov i proizvedeni�i. |l English |
| 245 | 1 | 0 | |a Table of integrals, series, and products / |c I.S. Gradshteyn and I.M. Ryzhik ; Daniel Zwillinger, editor ; Victor Moll, scientific editor ; translated from Russian by Scripta Technica, Inc. |
| 250 | |a Eighth edition. | ||
| 264 | 1 | |a Waltham, MA : |b Academic Press, |c [2015] | |
| 264 | 4 | |c �2015 | |
| 300 | |a 1 online resource (1133 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references and indexes. | ||
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 0.11 Progressions0.12 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; 0.23-0.24 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. | |
| 505 | 8 | |a 1.32 The representation of powers of trigonometric and hyperbolic functions in terms of functions of multiples of the argu ... 1.33 The representation of trigonometric and hyperbolic functions of multiples of the argument (angle) in terms of powers ... ; 1.34 Certain sums of trigonometric and hyperbolic functions; 1.35 Sums of powers of trigonometric functions of multiple angles; 1.36 Sums of products of trigonometric functions of multiple angles; 1.37 Sums of tangents of multiple angles; 1.38 Sums leading to hyperbolic tangents and cotangents. | |
| 505 | 8 | |a 0.41 Differentiation of a definite integral with respect to a parameter0.42 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; 1.3-1.4 Trigonometric and Hyperbolic Functions; 1.30 Introduction; 1.31 The basic functional relations. | |
| 520 | |a The eighth edition of the classic Gradshteyn and Ryzhik is an updated completely revised edition of what is acknowledged universally by mathematical and applied science users as the key reference work concerning the integrals and special functions. The book is valued by users of previous editions of the work both for its comprehensive coverage of integrals and special functions, and also for its accuracy and valuable updates. Since the first edition, published in 1965, the mathematical content of this book has significantly increased due to the addition of new material, though the size of the book has remained almost unchanged. The new 8th edition contains entirely new results and amendments to the auxiliary conditions that accompany integrals and wherever possible most entries contain valuable references to their source. Over 10, 000 mathematical entries Most up to date listing of integrals, series and products (special functions) Provides accuracy and efficiency in industry work 25% of new material not including changes to the restrictions on results that revise the range of validity of results, which lend to approximately 35% of new updates |c Publisher | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Mathematics |v Tables. | |
| 650 | 6 | |a Math�ematiques |v Tables. |0 (CaQQLa)201-0004512 | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a Mathematics |2 fast |0 (OCoLC)fst01012163 | |
| 655 | 2 | |a Tables |0 (DNLM)D020501 | |
| 655 | 7 | |a tables (documents) |2 aat |0 (CStmoGRI)aatgf300027364 | |
| 655 | 7 | |a Tables (Data) |2 fast |0 (OCoLC)fst01919974 | |
| 655 | 7 | |a Tables |2 fast |0 (OCoLC)fst01423914 | |
| 655 | 7 | |a Tables (Data) |2 lcgft | |
| 655 | 7 | |a Tables (Donn�ees) |2 rvmgf |0 (CaQQLa)RVMGF-000001171 | |
| 700 | 1 | |a Ryzhik, I. M. |q (Iosif Moiseevich), |e author. | |
| 700 | 1 | |a Zwillinger, Daniel, |d 1957- |e editor. | |
| 700 | 1 | |a Moll, Victor H., |d 1956- |e editor. | |
| 710 | 2 | |a Scripta Technica, inc., |e translator. | |
| 776 | 0 | 8 | |i Print version: |a Gradshte�in, I.S. (Izrail� Solomonovich). |s Tabli�t�sy integralov, summ, r�i�adov i proizvedeni�i. English. |t Table of integrals, series, and products. |b Eighth edition. |d Waltham, MA : Academic Press, [2015] |z 9780123849335 |w (DLC) 2014010276 |w (OCoLC)874835507 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780123849335 |z Texto completo |
| 880 | 1 | 0 | |6 240-01/(N |a Таблицы интегралов, сумм, рядов и произведений. |l English |
| 880 | 0 | |6 505-00/(S |a 1.39 The representation of cosines and sines of multiples of the angle as finite products1.41 The expansion of trigonometric and hyperbolic functions in power series; 1.42 Expansion in series of simple fractions; 1.43 Representation in the form of an infinite product; 1.44-1.45 Trigonometric (Fourier) series; 1.46 Series of products of exponential and trigonometric functions; 1.47 Series of hyperbolic functions; 1.48 Lobachevskiy's ``Angle of parallelism'' Π(x); 1.49 The hyperbolic amplitude (the Gudermannian) gd x; 1.5 The Logarithm; 1.51 Series representation. | |