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Preface
It has long been the established policy of CRC Press to publish, in handbook form,
the most up-to-date, authoritative, logically arranged, and readily usable reference
material available. Prior to the preparation of this 31st Edition of the CRC Standard
Mathematical Tables and Formulae, the content of such a book was reconsidered.
The previous edition was carefully analyzed, and input was obtained from practitioners
in the many branches of mathematics, engineering, and the physical sciences.
The consensus was that numerous small additions were required in several sections,
and several new areas needed to be added.
Some of the new materials included in this edition are: game theory and voting
power, heuristic search techniques, quadratic elds, reliability, risk analysis and decision
rules, a table of solutions to Pell’s equation, a table of irreducible polynomials
a longer table of prime numbers, an interpretation of powers of 10, a collection
of “proofs without words”, and representations of groups of small order. In
total, there are more than 30 completely new sections, more than 50 new and modi
ed entries in the sections, more than 90 distinguished examples, and more than a
dozen new tables and gures. This brings the total number of sections, sub-sections,
and sub-sub-sections to more than 1,000. Within those sections are now more than
3,000 separate items (a de nition , a fact, a table, or a property). The index has also
been extensively re-worked and expanded to make nding results faster and easier;
there are now more than 6,500 index references (with 75 cross-references of terms)
and more than 750 notation references.
The same successful format which has characterized earlier editions of the Handbook
is retained, while its presentation has been updated and made more consistent
from page to page. Material is presented in a multi-sectional format, with each section
containing a valuable collection of fundamental reference material—tabular and
expository.
In line with the established policy of CRC Press, the Handbook will be kept as
current and timely as is possible. Revisions and anticipated uses of newer materials
and tables will be introduced as the need arises. Suggestions for the inclusion of new
material in subsequent editions and comments regarding the present edition are welcomed.
The home page for this book, which will include errata, will be maintained
The major material in this new edition is as follows:
Chapter 1: Analysis begins with numbers and then combines them into series and
products. Series lead naturally into Fourier series. Numbers also lead to functions
which results in coverage of real analysis, complex analysis, and generalized
functions.
Chapter 2: Algebra covers the different types of algebra studied: elementary algebra,
vector algebra, linear algebra, and abstract algebra. Also included are
details on polynomials and a separate section on number theory. This chapter
includes many new tables.
Chapter 3: Discrete Mathematics covers traditional discrete topics such as combinatorics,
graph theory, coding theory and information theory, operations re-
search, and game theory. Also included in this chapter are logic, set theory,
and chaos.
Chapter 4: Geometry covers all aspects of geometry: points, lines, planes, surfaces,
polyhedra, coordinate systems, and differential geometry.
Chapter 5: Continuous Mathematics covers calculus material: differentiation, integration,
differential and integral equations, and tensor analysis. A large table
of integrals is included. This chapter also includes differential forms and orthogonal
coordinate systems.
Chapter 6: Special Functions contains a sequence of functions starting with the
trigonometric, exponential, and hyperbolic functions, and leading to many of
the common functions encountered in applications: orthogonal polynomials,
gamma and beta functions, hypergeometric functions, Bessel and elliptic functions,
and several others. This chapter also contains sections on Fourier and
Laplace transforms, and includes tables of these transforms.
Chapter 7: Probability and Statistics begins with basic probability information (de n -
ing several common distributions) and leads to common statistical needs (point
estimates, con d ence intervals, hypothesis testing, and ANOVA). Tables of the
normal distribution, and other distributions, are included. Also included in this
chapter are queuing theory, Markov chains, and random number generation.
Chapter 8: Scientific Computing explores numerical solutions of linear and nonlinear
algebraic systems, numerical algorithms for linear algebra, and how to
numerically solve ordinary and partial differential equations.
Chapter 9: Financial Analysis contains the formulae needed to determine the return
on an investment and how to determine an annuity (i.e., the cost of a
mortgage). Numerical tables covering common values are included.
Chapter 10: Miscellaneous contains details on physical units (de nition s and conversions),
formulae for date computations, lists of mathematical and electronic
resources, and biographies of famous mathematicians.
It has been exciting updating this edition and making it as useful as possible.
But it would not have been possible without the loving support of my family, Janet
Taylor and Kent Taylor Zwillinger.
Daniel Zwillinger
DanielZwillinger@alum.mit.edu
15 October 2002
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强烈要求加分!
北大讲义－－－泛函分析（上）；北大讲义－－－泛函分析（上）。
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[ 本帖最后由 spinoza1989 于 2007-11-13 00:49 编辑 ] 我有很多数学书，怎么上传？怎么进入？
负责人请讲讲 这的版主哪去了？怎没人回答？
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