- 积分级数和乘积表(第8版英文版)(精)
- - 作者：编者:(美)D.茨维林格
  - 出版社：世界图书出版公司
  - ISBN：9787519245436
  - 出版日期：2018/06/01
  - 页数：1133
- 售价：119.6

内容大纲
这是一部译自俄文的享誉世界的大型英文数学工具书。经过半个世纪的多次补充和修订，它已成为数学家、物理学家和工程技术人员常用的主流工具书。本书收集了1万2千余条从初等函数到特殊函数的积分公式、级数和公式及乘积的数学用表。本书是第8版，本版在第7版的基础上做了修订，其中对上一版的后三章内容做了调整。
作者介绍
目录
Preface to the Eighth Bdition
Acknowledgments
The Order of Presentation of the Formulas
Use of the Tables
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
    0.23-0.24  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 diferential 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
  1.3-1.4  Trigonometric and Hyperbolic Functions
    1.30  Introduction
    1.31  The basic functional relations
    1.32  The representation of powers of trigonometric and hyperbolic functionsin terms of functions of multiples of the argument (angle)
    1.33  The representation of trigonometric and hyperbolic functions of multiples of the argument (angle) in terms of powers of these functions
    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
    1.39  The representation of cosines and sines of multiples of the angle as finite products
    1.41  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" II (x)
    1.49  The hyperbolic amplitude (the Gudermannian) gd x
  1.5  The Logarithm
    1.51  Series representation
    1.52  Series of logarithms (cf.1.431)
  1.6  The Inverse Trigonometric and Hyperbolic Functions
    1.61  The domain of definition
    1.62-1.63  Functional relations
    1.64  Series representations
2  Indefinite Integrals of Elementary Functions
  2.0  Introduction
    2.00  General remarks
    2.01  The basic integrals
    2.02  General formulas
  2.1  Rational Functions
    2.10  General integration rules
    2.11-2.13  Forms containing the binomial a+bxk
    2.14  Forms containing the binomial 1+xn
    2.15  Forms containing pairs of binomials: a +bx and α+βx
    2.16  Forms containing the trinomial a+bxk+cx2k
    2.17  Forms containing the quadratic trinomial a+bx+cx2 and powers of x
    2.18  Forms containing the quadratic trinomial a+bx+cx2 and the binomial α+βr
  2.2  Algebraic functions
    2.20  Introduction
    2.21  Forms containing the binomial a+bxk and □（数理化公式）
  ……
3-4  Definite Integrals of Elementary Functions
5  Indefinite Integrals of Special Functions
6-7  Definite Integrals of Special Functions
8-9  Special Functions
10  Vector Field Theory
11  Integral Inequalities
12  Fourier, Laplace, and Mellin Transforms
References
Supplemental references
Index of Functions and Constants
Index of Concepts

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