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Handbook of Mathematical Functions

Author : Milton Abramowitz
Publisher : Courier Corporation
Page : 1068 pages
File Size : 38,3 MB
Release : 1965-01-01
Category : Mathematics
ISBN : 9780486612720

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An extensive summary of mathematical functions that occur in physical and engineering problems

NIST Handbook of Mathematical Functions Hardback and CD-ROM

Author : Frank W. J. Olver
Publisher : Cambridge University Press
Page : 968 pages
File Size : 44,66 MB
Release : 2010-05-17
Category : Mathematics
ISBN : 0521192250

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The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.

The Mathematical-Function Computation Handbook

Author : Nelson H.F. Beebe
Publisher : Springer
Page : 1145 pages
File Size : 34,62 MB
Release : 2017-08-20
Category : Computers
ISBN : 3319641107

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This highly comprehensive handbook provides a substantial advance in the computation of elementary and special functions of mathematics, extending the function coverage of major programming languages well beyond their international standards, including full support for decimal floating-point arithmetic. Written with clarity and focusing on the C language, the work pays extensive attention to little-understood aspects of floating-point and integer arithmetic, and to software portability, as well as to important historical architectures. It extends support to a future 256-bit, floating-point format offering 70 decimal digits of precision. Select Topics and Features: references an exceptionally useful, author-maintained MathCW website, containing source code for the book’s software, compiled libraries for numerous systems, pre-built C compilers, and other related materials; offers a unique approach to covering mathematical-function computation using decimal arithmetic; provides extremely versatile appendices for interfaces to numerous other languages: Ada, C#, C++, Fortran, Java, and Pascal; presupposes only basic familiarity with computer programming in a common language, as well as early level algebra; supplies a library that readily adapts for existing scripting languages, with minimal effort; supports both binary and decimal arithmetic, in up to 10 different floating-point formats; covers a significant portion (with highly accurate implementations) of the U.S National Institute of Standards and Technology’s 10-year project to codify mathematical functions. This highly practical text/reference is an invaluable tool for advanced undergraduates, recording many lessons of the intermingled history of computer hardw are and software, numerical algorithms, and mathematics. In addition, professional numerical analysts and others will find the handbook of real interest and utility because it builds on research by the mathematical software community over the last four decades.

C Mathematical Function Handbook

Author : Louis Baker
Publisher : Computing McGraw-Hill
Page : 757 pages
File Size : 33,67 MB
Release : 1992
Category : Mathematics
ISBN : 9780079111586

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C source code, algorithms and applications for a wide range of valuable scientific and engineering mathematical functions. Each function is discussed in detail with algorithms, applications, and key referneces. Includes a separate 3 1/2" disk.

Mathematical Functions and Their Approximations

Author : Yudell L. Luke
Publisher : Academic Press
Page : 587 pages
File Size : 46,81 MB
Release : 2014-05-10
Category : Mathematics
ISBN : 1483262456

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Mathematical Functions and their Approximations is an updated version of the Applied Mathematics Series 55 Handbook based on the 1954 Conference on Mathematical Tables, held at Cambridge, Massachusetts. The aim of the conference is to determine the need for mathematical tables in view of the availability of high speed computing machinery. This work is composed of 14 chapters that cover the machinery for the expansion of the generalized hypergeometric function and other functions in infinite series of Jacobi and Chebyshev polynomials of the first kind. Numerical coefficients for Chebyshev expansions of the more common functions are tabulated. Other chapters contain polynomial and rational approximations for certain class of G-functions, the coefficients in the early polynomials of these rational approximations, and the Padé approximations for many of the elementary functions and the incomplete gamma functions. The remaining chapters describe the development of analytic approximations and expansions. This book will prove useful to mathematicians, advance mathematics students, and researchers.

Handbook of Function and Generalized Function Transformations

Author : Ahmed I. Zayed
Publisher : CRC Press
Page : 684 pages
File Size : 43,89 MB
Release : 1996-05-15
Category : Mathematics
ISBN : 9780849378515

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Function transformations, which include linear integral transformations, are some of the most important mathematical tools for solving problems in all areas of engineering and the physical sciences. They allow one to quickly solve a problem by breaking it down into a series of smaller, more manageable problems. The author has compiled the most important and widely used of these function transforms in applied mathematics and electrical engineering. In addition to classical transforms, newer transforms such as wavelets, Zak, and Radon are included. The book is neither a table of transforms nor a textbook, but it is a source book that provides quick and easy access to the most important properties and formulas of function and generalized function transformations. It is organized for convenient reference, with chapters broken down into the following sections:

Handbook of Mathematics

Author : Ilja N. Bronštejn
Publisher : Springer
Page : 989 pages
File Size : 36,80 MB
Release : 2013-11-11
Category : Technology & Engineering
ISBN : 3662256517

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Handbook of Continued Fractions for Special Functions

Author : Annie A.M. Cuyt
Publisher : Springer Science & Business Media
Page : 430 pages
File Size : 38,16 MB
Release : 2008-04-12
Category : Mathematics
ISBN : 1402069499

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Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer science and statistics. Because of their importance, several books and websites (see for instance http: functions.wolfram.com) and a large collection of papers have been devoted to these functions. Of the standard work on the subject, the Handbook of mathematical functions with formulas, graphs and mathematical tables edited by Milton Abramowitz and Irene Stegun, the American National Institute of Standards claims to have sold over 700 000 copies! But so far no project has been devoted to the systematic study of continued fraction representations for these functions. This handbook is the result of such an endeavour. We emphasise that only 10% of the continued fractions contained in this book, can also be found in the Abramowitz and Stegun project or at the Wolfram website!

Handbook of Mathematical Formulas and Integrals

Author : Alan Jeffrey
Publisher :
Page : 472 pages
File Size : 38,57 MB
Release : 2000
Category : Mathematics
ISBN :

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If there is a formula to solve a given problem in mathematics, it can be found in Alan Jeffrey's Handbook of Mathematical Formulas and Integrals. Thanks to its unique thumb-tab indexing feature, answers are easy to find based upon the type of problem they solve. The handbook covers important formulas, functions, relations, and methods from algebra, trigonomic and exponential functions, combinatorics, probability, matrix theory, calculus and vector calculus, both ordinary and partial differential equations, Fourier series, orthogonal polynomials, and Laplace transforms. Equations are computer-validated with Scientific WorkPlace and Mathematica. -- Back cover