数学公式与表格手册(第5版)——Schaum's Outline系列

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"Mathematical Handbook of Formulas and Tables,5E" 是一本由M.R. Spiegel等人编写的数学公式与表格指南,旨在帮助学生和专业人士提升问题解决能力。这本书包含了超过2400个完全解答的问题、示例和实践练习,同时提供更新版的在线Schaum’s.com网站,作为虚拟辅导工具。该书是Schaum's Outline系列的一部分,自出版以来已帮助全球超过4000万学生在课堂和考试中取得成功。 本书特点包括: 1. 大量公式与表格:涵盖了从基础到高级的各种数学主题,超过2400个公式和表格。 2. 明确解释:对所有数学公式和步骤进行清晰解释,帮助读者理解并应用。 3. 完整索引:便于查找特定主题,增强学习效率。 4. 在线资源:读者可以访问修订后的Schaum’s.com网站,获得额外的学习支持和互动资源。 书中内容涵盖了广泛的数学领域,可能包括但不限于: - 预算代数和高级代数 - 几何和立体几何 - 概率与统计 - 微积分,包括微分和积分 - 线性代数 - 物理学和工程中的数学应用 - 数论和组合数学 - 复数和复分析 - 数值分析和近似方法 每个主题都按照易于理解和跟随的专题结构呈现,辅以有用的表格和插图,以增进理解。无论是准备课程作业、复习考试,还是在实际工作中解决数学问题,这本手册都是一个强大的参考工具。通过深入阅读和实践,读者将能够巩固数学基础知识,提高解决复杂问题的能力,并在学业和职业道路上取得更高的成就。
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Despite the increasing use of computers, the basic need for mathematical tables continues. Tables serve a vital role in preliminary surveys of problems before programming for machine operation, and they are indispensable to thousands of engineers and scientists without access to machines. Because of automatic computers, however, and because of recent scientific advances, a greater variety of functions and a higher accuracy of tabulation than have been available until now are required. In 1954, a conference on mathematical tables, sponsored by M.I.T. and the National Science Foundation, met to discuss a modernization and extension of Jahnke and Emde's classical tables of functions. This volume, published 10 years later by the U.S. Department of Commerce, is the result. Designed to include a maximum of information and to meet the needs of scientists in all fields, it is a monumental piece of work, a comprehensive and self-contained summary of the mathematical functions that arise in physical and engineering problems. The book contains 29 sets of tables, some to as high as 20 places: mathematical constants; physical constants and conversion factors (6 tables); exponential integral and related functions (7); error function and Fresnel integrals (12); Bessel functions of integer (12) and fractional (13) order; integrals of Bessel functions (2); Struve and related functions (2); confluent hypergeometric functions (2); Coulomb wave functions (2); hypergeometric functions; Jacobian elliptic and theta functions (2); elliptic integrals {9); Weierstrass elliptic and related functions; parabolic cylinder functions {3); Mathieu functions (2); spheroidal wave functions (5); orthogonal polynomials (13); combinatorial analysis (9); numerical interpolation, differentiation and integration (11); probability functions (ll); scales of notation (6); miscellaneous functions (9); Laplace transforms (2); and others. Each of these sections is prefaced by a list of related formulas and graphs: differential equations, series expansions, special functions, and other basic relations. These constitute an unusually valuable reference work in themselves. The prefatory material also includes an explanation of the numerical methods involved in using the tables that follow and a bibliography. Numerical examples illustrate the use of each table and explain the computation of function values which lie outside its range, while the editors' introduction describes higher-order interpolation procedures. Well over100 figures illustrate the text. In all, this is one of the most ambitious and useful books of its type ever published, an essential aid in all scientific and engineering research, problem solving, experimentation and field work. This low-cost edition contains every page of the original government publication.