Handbook of Mathematical Functions

With Formulas, Graphs, and Mathematical Tables

Author: Milton Abramowitz,Irene A. Stegun

Publisher: Courier Corporation

ISBN: 9780486612720

Category: Mathematics

Page: 1046

View: 8289

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

Handbook of Mathematical Functions

With Formulas, Graphs, and Mathematical Tables

Author: Milton Abramowitz,Irene A. Stegun

Publisher: Courier Corporation

ISBN: 9780486612720

Category: Mathematics

Page: 1046

View: 3441

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

Handbook of Mathematical Functions, 1964

With Formulas, Graphs, and Mathematical Tables (Classic Reprint)

Author: Milton Abramowitz

Publisher: Forgotten Books

ISBN: 9781396774669

Category: Mathematics

Page: 1080

View: 8885

Excerpt from Handbook of Mathematical Functions, 1964: With Formulas, Graphs, and Mathematical Tables About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

NIST Handbook of Mathematical Functions

Author: Frank W. J. Olver

Publisher: Cambridge University Press

ISBN: 0521192250

Category: Mathematics

Page: 951

View: 8234

The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun.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

Mathematical Functions and Their Approximations

Author: Yudell L. Luke

Publisher: Academic Press

ISBN: 1483262456

Category: Mathematics

Page: 586

View: 8935

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 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: 573

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!

Mathematical Methods for Physicists

Author: George B. Arfken

Publisher: Academic Press

ISBN: 1483277828

Category: Mathematics

Page: 1008

View: 1996

Mathematical Methods for Physicists, Third Edition provides an advanced undergraduate and beginning graduate study in physical science, focusing on the mathematics of theoretical physics. This edition includes sections on the non-Cartesian tensors, dispersion theory, first-order differential equations, numerical application of Chebyshev polynomials, the fast Fourier transform, and transfer functions. Many of the physical examples provided in this book, which are used to illustrate the applications of mathematics, are taken from the fields of electromagnetic theory and quantum mechanics. The Hermitian operators, Hilbert space, and concept of completeness are also deliberated. This book is beneficial to students studying graduate level physics, particularly theoretical physics.

Intelligent Computer Mathematics

MKM, Calculemus, DML, and Systems and Projects 2013, Held as Part of CICM 2013, Bath, UK, July 8-12, 2013, Proceedings

Author: Jacques Carette,David Aspinall,Christoph Lange,Petr Sojka,Wolfgang Windsteiger

Publisher: Springer

ISBN: 3642393209

Category: Computers

Page: 384

View: 7116

This book constitutes the joint refereed proceedings of the 20th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2013, 6th International Workshop on Digital Mathematics Libraries, DML 2013, Systems and Projects, held in Bath, UK as part of CICM 2013, the Conferences on Intelligent Computer Mathematics. The 7 revised full papers out of 18 submissions for MKM 2013, 5 revised full papers out of 12 submissions for Calculemus 2013, 6 revised full papers out of 8 submissions for DML 2013, and 12 revised full papers out of 16 submissions for Systems and Project track presented together with 3 invited talks were carefully reviewed and selected, resulting in 33 papers from a total of 73 submissions.

Mathematical Aspects of Pattern Formation in Biological Systems

Author: Juncheng Wei,Matthias Winter

Publisher: Springer Science & Business Media

ISBN: 1447155262

Category: Mathematics

Page: 319

View: 5844

This monograph is concerned with the mathematical analysis of patterns which are encountered in biological systems. It summarises, expands and relates results obtained in the field during the last fifteen years. It also links the results to biological applications and highlights their relevance to phenomena in nature. Of particular concern are large-amplitude patterns far from equilibrium in biologically relevant models. The approach adopted in the monograph is based on the following paradigms: • Examine the existence of spiky steady states in reaction-diffusion systems and select as observable patterns only the stable ones • Begin by exploring spatially homogeneous two-component activator-inhibitor systems in one or two space dimensions • Extend the studies by considering extra effects or related systems, each motivated by their specific roles in developmental biology, such as spatial inhomogeneities, large reaction rates, altered boundary conditions, saturation terms, convection, many-component systems. Mathematical Aspects of Pattern Formation in Biological Systems will be of interest to graduate students and researchers who are active in reaction-diffusion systems, pattern formation and mathematical biology.