Table Of Integrals, Series, And Products Tablit︠s︡y Integralov, Summ, Ri︠a︡dov I Proizvedeniĭ. English

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 English-language 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 CD-Rom. - Fully searchable CD that puts information at your fingertips included with text - Most up to date listing of integrals, series and products - Provides accuracy and efficiency in work Amazon.com Review Very useful CD-ROM for all numerically inclined scientists and engineers. Produces TeX source code for selected formulas. Multiplatform-ROM for Mac, Windows, and UNIX. Table of Integrals, Series, and Products......Page 4 Copyright page......Page 5 Contents......Page 6 Preface to the Seventh Edition......Page 22 Acknowledgments......Page 24 The Order of Presentation of the Formulas......Page 28 Use of the Tables......Page 32 Index of Special Functions......Page 40 Notation......Page 44 Note on the Bibliographic References......Page 48 0.1 Finite Sums......Page 50 0.2 Numerical Series and Infinite Products......Page 55 0.3 Functional Series......Page 64 0.4 Certain Formulas from Differential Calculus......Page 70 1.1 Power of Binomials......Page 74 1.2 The Exponential Function......Page 75 1.3-1.4 Trigonometric and Hyperbolic Functions......Page 77 1.5 The Logarithm......Page 102 1.6 The Inverse Trigonometric and Hyperbolic Functions......Page 105 2.0 Introduction......Page 112 2.1 Rational Functions......Page 115 2.2 Algebraic Functions......Page 131 2.3 The Exponential Function......Page 155 2.4 Hyperbolic Functions......Page 159 2.5-2.6 Trigonometric Functions......Page 200 2.7 Logarithms and Inverse-Hyperbolic Functions......Page 286 2.8 Inverse Trigonometric Functions......Page 290 3.0 Introduction......Page 296 3.1-3.2 Power and Algebraic Functions......Page 302 3.3-3.4 Exponential Functions......Page 383 3.5 Hyperbolic Functions......Page 420 3.6-4.1 Trigonometric Functions......Page 439 4.2-4.4 Logarithmic Functions......Page 576 4.5 Inverse Trigonometric Functions......Page 648 4.6 Multiple Integrals......Page 656 5.1 Elliptic Integrals and Functions......Page 668 5.2 The Exponential Integral Function......Page 676 5.3 The Sine Integral and the Cosine Integral......Page 677 5.5 Bessel Functions......Page 678 6.1 Elliptic Integrals and Functions......Page 680 6.2-6.3 The Exponential Integral Function and Functions Generated by It......Page 685 6.4 The Gamma Function and Functions Generated by It......Page 699 6.5-6.7 Bessel Functions......Page 708 6.8 Functions Generated by Bessel Functions......Page 802 6.9 Mathieu Functions......Page 812 7.1-7.2 Associated Legendre Functions......Page 818 7.3-7.4 Orthogonal Polynomials......Page 844 7.5 Hypergeometric Functions......Page 861 7.6 Confluent Hypergeometric Functions......Page 869 7.7 Parabolic Cylinder Functions......Page 890 7.8 Meijer's and MacRobert's Functions (G and E)......Page 899 8.1 Elliptic Integrals and Functions......Page 908 8.2 The Exponential Integral Function and Functions Generated by It......Page 932 8.3 Euler's Integrals of the First and Second Kinds......Page 941 8.4-8.5 Bessel Functions and Functions Associated with Them......Page 959 8.6 Mathieu Functions......Page 999 8.7-8.8 Associated Legendre Functions......Page 1007 8.9 Orthogonal Polynomials......Page 1031 9.1 Hypergeometric Functions......Page 1054 9.2 Confluent Hypergeometric Functions......Page 1071 9.3 Meijer's G-Function......Page 1081 9.4 MacRobert's E-Function......Page 1084 9.5 Riemann's Zeta Functions zeta(z,q) and zeta(z), and the Functions Phi(z,s,v) and xi(s)......Page 1085 9.6 Bernoulli Numbers and Polynomials, Euler Numbers......Page 1089 9.7 Constants......Page 1094 10.1-10.8 Vectors, Vector Operators, and Integral Theorems......Page 1098 11.1-11.3 General Algebraic Inequalities......Page 1108 12.11 Mean Value Theorems......Page 1112 12.31 Integral Inequalities......Page 1113 12.51 Fourier Series and Related Inequalities......Page 1115 13.11-13.12 Special Matrices......Page 1118 13.21 Quadratic Forms......Page 1120 13.31 Differentiation of Matrices......Page 1122 13.41 The Matrix Exponential......Page 1123 14.13 Minors and Cofactors of a Determinant......Page 1124 14.16 Jacobi's Theorem......Page 1125 14.21 Cramer's Rule......Page 1126 14.31 Some Special Determinants......Page 1127 15.21 Principal Vector Norms......Page 1130 15.41 Principal Natural Norms......Page 1131 15.51 Spectral Radius of a Square Matrix......Page 1132 15.71 Inequalities for the Characteristic Polynomial......Page 1133 15.81-15.82 Named Theorems on Eigenvalues......Page 1136 15.91 Variational Principles......Page 1140 16.11 First-Order Equations......Page 1142 16.31 First-Order Systems......Page 1143 16.41 Some Special Types of Elementary Differential Equations......Page 1146 16.51 Second-Order Equations......Page 1147 16.61-16.62 Oscillation and Non-Oscillation Theorems for Second-Order Equations......Page 1149 16.81-16.82 Non-Oscillatory Solutions......Page 1152 16.91 Some Growth Estimates for Solutions of Second-Order Equations......Page 1153 16.92 Boundedness Theorems......Page 1155 17.1-17.4 Integral Transforms......Page 1156 18.1-18.3 Definition, Bilateral, and Unilateral z-Transforms......Page 1184 References......Page 1190 Supplemental references......Page 1194 Index of Functions and Constants......Page 1200 General Index of Concepts......Page 1210 'the Table Of Integrals, Series And Products' Is A Major Reference Source For Integrals In The English Language. It Is Essential For Mathematicians, Scientists, And Engineers, Who Rely On It When Identifying And Subsequently Solving Extremely Complex Problems. Introduction -- Elementary Functions -- Indefinite Integrals Of Elementary Functions -- Definite Integrals Of Elementary Functions -- Indefinite Integrals Of Special Functions -- Definite Integrals Of Special Functions -- Special Functions -- Vector Field Theory -- Algebraic Inequalities -- Integral Inequalities -- Matrices And Related Results -- Determinants -- Norms -- Ordinary Differential Equations -- Fourier, Laplace, And Mellin Transforms -- The Z-transform. I.s. Gradshteyn And I.m. Ryzhik ; Alan Jeffrey Editor, Daniel Zwillinger Editor. Previous Ed.: 2000. Includes Bibliographical References (p. [1141]-1150) And Index. Translated From The Russian By Scripta Technica, Inc.. 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 English-language 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 CD-Rom.

- Fully searchable CD that puts information at your
fingertips included with text
- Most up to date listing of integrals, series and
products
- Provides accuracy and efficiency in work