A Guide to Mathematical Tables

A Guide to Mathematical Tables

Supplement No. 1

1st Edition - January 1, 1960

Write a review

  • Authors: N. M. Burunova, A. V. Lebedev, R. M. Fedorova
  • eBook ISBN: 9781483184432

Purchase options

Purchase options
DRM-free (PDF)
Sales tax will be calculated at check-out

Institutional Subscription

Free Global Shipping
No minimum order


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 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.

Table of Contents

  • 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


    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


    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


    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

Product details

  • No. of pages: 234
  • Language: English
  • Copyright: © Pergamon 1960
  • Published: January 1, 1960
  • Imprint: Pergamon
  • eBook ISBN: 9781483184432

About the Authors

N. M. Burunova

A. V. Lebedev

R. M. Fedorova

Ratings and Reviews

Write a review

There are currently no reviews for "A Guide to Mathematical Tables"