Special Functions and Their Applications (Record no. 39218)

MARC details
000 -LEADER
fixed length control field 02956nam a2200181 a 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9780486606248
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 0486606244
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.5
Item number LEB
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Lebedev,N.N.
245 ## - TITLE STATEMENT
Title Special Functions and Their Applications
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication New York,
Name of publisher Dover Publications
Year of publication [1972]
300 ## - PHYSICAL DESCRIPTION
Number of Pages xii, 308 pages:
Other physical details illustrations;
500 ## - GENERAL NOTE
General note Bibliography & Index
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note The gamma function --<br/>The probability integral and related functions --<br/>The exponential integral and related functions --<br/>Orthogonal polynomials --<br/>Cylinder functions: theory --<br/>Cylinder functions: applications --<br/>Spherical harmonics: theory --<br/>Spherical harmonics: applications --<br/>Hypergeometric functions --<br/>Parabolic cylinder functions.
520 ## - SUMMARY, ETC.
Summary, etc Richard Silverman's new translation makes available to English readers the work of the famous contemporary Russian mathematician N. N. Lebedev. Though extensive treatises on special functions are available, these do not serve the student or the applied mathematician as well as Lebedev's introductory and practically oriented approach. His systematic treatment of the basic theory of the more important special functions and the applications of this theory to specific problems of physics and engineering results in a practical course in the use of special functions for the student and for those concerned with actual mathematical applications or uses. In consideration of the practical nature of the coverage, most space has been devoted to the application of cylinder functions and particularly of spherical harmonics. Lebedev, however, also treats in some detail: the gamma function, the probability integral and related functions, the exponential integral and related functions, orthogonal polynomials with consideration of Legendre, Hermite and Laguerre polynomials (with exceptional treatment of the technique of expanding functions in series of Hermite and Laguerre polynomials), the Airy functions, the hypergeometric functions (making this often slighted area accessible to the theoretical physicist), and parabolic cylinder functions. The arrangement of the material in the separate chapters, to a certain degree, makes the different parts of the book independent of each other. Although a familiarity with complex variable theory is needed, a serious attempt has been made to keep to a minimum the required background in this area. Various useful properties of the special functions which do not appear in the text proper will be found in the problems at the end of the appropriate chapters. This edition closely adheres to the revised Russian edition (Moscow, 1965). Richard Silverman, however, has made the book even more useful to the English reader. The bibliography and references have been slanted toward books available in English or the West European languages, and a number of additional problems have been added to this edition.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Functions, Special.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Reference Books
Holdings
Collection code Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Koha item type
Reference Main Library Main Library Reference 21/04/2005 Purchased 1644.50 515.5 LEB 009826 Reference Books

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