Special Functions & Their Applications

Nonfiction, Science & Nature, Mathematics, Functional Analysis
Cover of the book Special Functions & Their Applications by N. N. Lebedev, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: N. N. Lebedev ISBN: 9780486139890
Publisher: Dover Publications Publication: April 30, 2012
Imprint: Dover Publications Language: English
Author: N. N. Lebedev
ISBN: 9780486139890
Publisher: Dover Publications
Publication: April 30, 2012
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book Combinatorial Optimization by N. N. Lebedev
Cover of the book Conformal Mapping by N. N. Lebedev
Cover of the book An Introduction to Orthogonal Polynomials by N. N. Lebedev
Cover of the book The House of the Seven Gables by N. N. Lebedev
Cover of the book Authentic Victorian Fashion Patterns by N. N. Lebedev
Cover of the book On Reading the Bible by N. N. Lebedev
Cover of the book The Boy's King Arthur by N. N. Lebedev
Cover of the book Science Magic Tricks by N. N. Lebedev
Cover of the book Introduction to Abstract Harmonic Analysis by N. N. Lebedev
Cover of the book The Book of Signs by N. N. Lebedev
Cover of the book Mathematics and the Physical World by N. N. Lebedev
Cover of the book Ancient Egypt by N. N. Lebedev
Cover of the book Burnham's Celestial Handbook, Volume One by N. N. Lebedev
Cover of the book Basic Methods of Linear Functional Analysis by N. N. Lebedev
Cover of the book Making Authentic Shaker Furniture by N. N. Lebedev
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy