Handbook of Mathematical Functions

with Formulas, Graphs, and Mathematical Tables

Author: Milton Abramowitz,Irene A. Stegun

Publisher: Courier Corporation

ISBN: 0486158241

Category: Mathematics

Page: 1046

View: 4772

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A classic resource for working with special functions, standard trig, and exponential logarithmic definitions and extensions, it features 29 sets of tables, some to as high as 20 places.
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NIST Handbook of Mathematical Functions

Author: Frank W. J. Olver

Publisher: Cambridge University Press

ISBN: 0521192250

Category: Mathematics

Page: 951

View: 4496

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The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun.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

Author: Frank W. J. Olver

Publisher: Cambridge University Press

ISBN: 0521140633

Category: Mathematics

Page: 951

View: 4052

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The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun.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

Author: Alan Jeffrey,Hui Hui Dai

Publisher: Elsevier

ISBN: 9780080556840

Category: Mathematics

Page: 592

View: 1128

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The extensive additions, and the inclusion of a new chapter, has made this classic work by Jeffrey, now joined by co-author Dr. H.H. Dai, an even more essential reference for researchers and students in applied mathematics, engineering, and physics. It provides quick access to important formulas, relationships between functions, and mathematical techniques that range from matrix theory and integrals of commonly occurring functions to vector calculus, ordinary and partial differential equations, special functions, Fourier series, orthogonal polynomials, and Laplace and Fourier transforms. During the preparation of this edition full advantage was taken of the recently updated seventh edition of Gradshteyn and Ryzhik’s Table of Integrals, Series, and Products and other important reference works. Suggestions from users of the third edition of the Handbook have resulted in the expansion of many sections, and because of the relevance to boundary value problems for the Laplace equation in the plane, a new chapter on conformal mapping, has been added, complete with an atlas of useful mappings. Comprehensive coverage in reference form of the branches of mathematics used in science and engineering Organized to make results involving integrals and functions easy to locate Results illustrated by worked examples
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Handbook of Special Functions

Derivatives, Integrals, Series and Other Formulas

Author: Yury A. Brychkov

Publisher: CRC Press

ISBN: 158488956X

Category: Mathematics

Page: 704

View: 6476

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Because of the numerous applications involved in this field, the theory of special functions is under permanent development, especially regarding the requirements for modern computer algebra methods. The Handbook of Special Functions provides in-depth coverage of special functions, which are used to help solve many of the most difficult problems in physics, engineering, and mathematics. The book presents new results along with well-known formulas used in many of the most important mathematical methods in order to solve a wide variety of problems. It also discusses formulas of connection and conversion for elementary and special functions, such as hypergeometric and Meijer G functions.
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Handbook of Function and Generalized Function Transformations

Author: Ahmed I. Zayed

Publisher: CRC Press

ISBN: 9780849378515

Category: Mathematics

Page: 672

View: 1393

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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:
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Handbook of Continued Fractions for Special Functions

Author: Annie A.M. Cuyt,Vigdis Petersen,Brigitte Verdonk,Haakon Waadeland,William B. Jones

Publisher: Springer Science & Business Media

ISBN: 9781402069499

Category: Mathematics

Page: 431

View: 1234

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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!
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Mathematical Functions and Their Approximations

Author: Yudell L. Luke

Publisher: Academic Press

ISBN: 1483262456

Category: Mathematics

Page: 586

View: 6424

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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.
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Handbook of Compliant Mechanisms

Author: Larry L. Howell,Spencer P. Magleby,Brian M. Olsen

Publisher: John Wiley & Sons

ISBN: 1118516516

Category: Technology & Engineering

Page: 344

View: 6213

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A fully illustrated reference book giving an easy-to-understand introduction to compliant mechanisms A broad compilation of compliant mechanisms to give inspiration and guidance to those interested in using compliant mechanisms in their designs, the Handbook of Compliant Mechanisms includes graphics and descriptions of many compliant mechanisms. It comprises an extensive categorization of devices that can be used to help readers identify compliant mechanisms related to their application. It also provides chapters on the basic background in compliant mechanisms, the categories of compliant mechanisms, and an example of how the Compendium can be used to facilitate compliant mechanism design. Fully illustrated throughout to be easily understood and accessible at introductory levels Covers all aspects pertaining to classification, elements, mechanisms and applications of compliant mechanisms Summarizes a vast body of knowledge in easily understood diagrams and explanations Helps readers appreciate the advantages that compliant mechanisms have to offer Practical approach is ideal for potential practitioners who would like to realize designs with compliant mechanisms, members and elements Breadth of topics covered also makes the book a useful reference for more advanced readers Intended as an introduction to the area, the Handbook avoids technical jargon to assist non engineers involved in product design, inventors and engineers in finding clever solutions to problems of design and function.
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