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A Guide to Mathematical Tables
Supplement No. 1
- 1st Edition - May 9, 2014
- Authors: N. M. Burunova, A. V. Lebedev, R. M. Fedorova
- Language: English
- eBook ISBN:9 7 8 - 1 - 4 8 3 1 - 8 4 4 3 - 2
A Guide to Mathematical Tables is a supplement to the Guide to Mathematical Tables published by the U.S.S.R. Academy of Sciences in 1956. The tables contain information on subjects… Read more
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Request a sales quoteA Guide to Mathematical Tables is a supplement to the Guide to Mathematical Tables published by the U.S.S.R. Academy of Sciences in 1956. The tables contain information on subjects such as powers, rational and algebraic functions, and trigonometric functions, as well as logarithms and polynomials and Legendre functions. An index listing all functions included in both the Guide and the Supplement is included. Comprised of 15 chapters, this supplement first describes mathematical tables in the following order: the accuracy of the table (that is, the number of decimal places or significant figures); the limits of variation of the argument and the interval of the table; and the serial number of the book or journal in the reference material. The second part gives the author, title, publishing house, and date and place of publication for books, and the name of the journal, year of publication, series, volume and number, page and author and title of the article cited for journals. Topics range from exponential and hyperbolic functions to factorials, Euler integrals, and related functions. Sums and quantities related to finite differences are also tabulated. This book will be of interest to mathematicians and mathematics students.
Foreword
Index to the Tables of Contents in the Handbook and the Supplement
Part One Description of the Tables
Chapter 1. Powers, Rational and Algebraic Functions
Positive Whole Powers
Fractional Positive Powers
Roots of Fourth Power 4√n
General Fractional Powers nx
Reciprocal Values (General Whole & Fractional Powers)
Rational Functions
Algebraic Functions
Complex Numbers and their Powers
Chapter 2. Trigonometric Functions. Various Values Connected with the Circle and the Sphere
Natural Values of Trigonometric Functions
Various Expressions Containing Trigonometric Functions
Derivatives & Powers of Trigonometric Functions
Reciprocal Trigonometric Functions of a Complex Variable
Geometric Quantities
Chapter 3. Exponential and Hyperbolic Functions
Exponential Functions
Hyperbolic Functions
Expressions Containing Trigonometric and Hyperbolic Functions
Inverse Hyperbolic Functions
Chapter 4. Logarithms
Common Logarithms and Antilogarithms
Natural Logarithms
Logarithms with Base 2
Chapter 5. Factorials, Euler Integrals & Related Functions
Factorials
The Gamma Function
The Psi Function & its Derivatives
The Beta Function
Certain Constants
Chapter 6. Sine and Cosine Integrals, Exponential and Logarithmic Integrals and Related Functions
Sine and Cosine Integral
Hyperbolic Sine and Cosine Integrals
Exponential Integral
Logarithmic Integral
Generalised & Mixed Integral Functions
Integral Functions for Complex Arguments
Chapter 7. Probability Integrals and Related Functions
Probability Distribution and Related Functions
Probability Integrals and Expressions Containing Them
Various Integrals
Tables in which the Integral Serves as the Argument
Probability Integrals with Complex Argument
Derivatives of Various Orders of Distribution Function
Zeros of Probability Integrals
Logarithms of Probability Integrals
Fresnel Integrals & Related Functions
Chapter 8. Elliptic Integrals and Functions
Moduli of the Integrals
Complete Elliptic Integrals
Incomplete Elliptic Integrals
Elliptic Functions
Theta Functions
Chapter 9. Legendre Functions and Polynomials
Legendre Functions and Polynomials of the First Kind
Associated Legendre Functions of the First Kind
Roots of Legendre Functions
Various Expressions Containing Legendre Functions
Chapter 10. Cylinder Functions
Cylinder Functions of the First & Second Kind of Real Argument
Riccati-Bessel Functions
Lommel's Functions of Two Real Variables
Cylinder Functions of the Third Kind (Hankel Functions)
Cylinder Functions of the First & Second Kind of Imaginary Argument
Lommel's Functions of Two Imaginary Variables
Cylinder Functions of Complex Argument
Thomson Functions
Airy Functions
A Special Confluent Hypergeometric Function
Struve Functions
Zeros of Cylinder Functions
Integrals of Cylinder Functions
Chapter 11. Certain Special Functions & Integrals
Polynomials
Riemann Zeta Function
Mathieu Functions
Hypergeometric & Confluent Hypergeometric Functions
Whittaker Functions
Functions of a Parabolic Cylinder (Weber Functions)
Certain Integrals
Various Functions
Chapter 12. Solutions of Certain Equations
Algebraic Equations
Equations Containing Trigonometric Functions
Equations Containing Exponential Functions
Various Equations
Solutions of Differential Equations
Solutions of Integral Equations
Chapter 13. Sums & Values Connected with Finite Differences
Binomial Coefficients
Interpolation Coefficients
Numerical Differentiation and Integration
Sums
Chapter 14. Mathematical Constants
Chapter 15. Prime Numbers, Factors, Products, Quotients and Fractions
Conversion from One System of Calculation to Another
Part Two References
References to Chapter 1 (Powers, Rational & Algebraic Functions)
References to Chapter 2 (Trigonometric Functions. Various Quantities Connected with the Circle and the Sphere)
References to Chapter 3 (Exponential & Hyperbolic functions)
References to Chapter 4 (Logarithms)
References to Chapter 5 (Factorials, Euler Integrals and Related Functions)
References to Chapter 6 (Sine and Cosine Integrals, Exponential and Logarithmic Integrals and Related Functions)
References to Chapter 7 (Probability Integrals and Related Functions)
References to Chapter 8 (Elliptic Integrals and Elliptic Functions)
References to Chapter 9 (Legendre Functions and Polynomials)
References to Chapter 10 (Cylinder Functions)
References to Chapter 11 (Certain Special Functions and Integrals)
References to Chapter 12 (Solutions of Certain Equations)
References to Chapter 13 (Sums and Quantities Connected with Finite Differences)
References to Chapter 14 (Mathematical Constants)
References to Chapter 15 (Prime Numbers, Factors, Products, Quotients and Fractions)
Author Index
Supplement. Translated Titles from the Reference Section
- No. of pages: 234
- Language: English
- Edition: 1
- Published: May 9, 2014
- Imprint: Pergamon
- eBook ISBN: 9781483184432
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