Mathieu Functions and Spheroidal Functions and their Mathematical Foundations PDF Download

Author: J. Meixner
Publisher: Springer
ISBN: 3540384111
Category : Mathematics
Languages : en
Pages : 134

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Author: Josef Meixner
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Milton Abramowitz
Publisher:
ISBN: 9781614276173
Category : Mathematics
Languages : en
Pages : 1064

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2014 Reprint of 1964 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. 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 over 100 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. Preface by A. V. Astin. Foreword by Advisory Committee, Conference on Mathematical Tables. Editors' Introduction. Indices to Subjects, Notations.

Author: D. Kölzow
Publisher: Springer
ISBN: 3540393242
Category : Mathematics
Languages : en
Pages : 449

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Author:
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 500

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Author: Milton Abramowitz
Publisher: Courier Corporation
ISBN: 9780486612720
Category : Mathematics
Languages : en
Pages : 1068

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

Author: P. Niyogi
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 210

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Author: D. Butkovic
Publisher: Springer
ISBN: 3540393560
Category : Mathematics
Languages : en
Pages : 254

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Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9400959915
Category : Mathematics
Languages : en
Pages : 555

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This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 1514

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