A Treatise on the Theory of Bessel Functions (Classic Reprint) - Couverture souple

Watson, G. N.

Couverture souple

ISBN 10 : 133030277X ISBN 13 : 9781330302774

Editeur : Forgotten Books, 2018

Synopsis

Excerpt from A Treatise on the Theory of Bessel Functions

The second object is the compilation of a collection of results which would be of value to the increasing number of Mathematicians and Physicists who encounter Bessel functions in the course of their researches. The existence of such a collection seems to be demanded by the greater abstruseness of properties of Bessel functions (especially of functions of large order) which have been required in recent years in various problems of Mathematical Physics. While my endeavour has been to give an account of the theory of Bessel functions which a Pure Mathematician would regard as fairly complete, I have consequently also endeavoured to include all formulae, whether general or special, which, although without theoretical interest, are likely to be required in practical applications; and such results are given, so far as possible, in a form appropriate for these purposes. The breadth of these aims, combined with the necessity for keeping the size of the book within bounds, has made it necessary to be as concise as is compatible with intelligibility.

A propos du livre

Présentation de l'éditeur

G.N. Watson's A Treatise on the Theory of Bessel Functions is a mathematics book originally published in 1922. Author Watson was a well-known mathematician and a Professor of Mathematics at the University of Birmingham. This book, now republished by Forgotten Books, is intended as a resource guide for students and scholars of the theory of functions of complex variables and mathematics in general.

The book opens with a detailed history of Bessel Functions before 1826. This background information serves as the jumping off point for the author's presentation of his treatise on the theory of Bessel functions. From there, the Bessel coefficients are introduced, and Watson's mathematical discussion begins in earnest. The book provides a detailed examination of all aspects of Bessel functions, including asymptotic expansions of Bessel functions, associated polynomials, the zeros of Bessel functions, and the Schlumilch series and its relationships to Bessel functions, among other topics.

A Treatise on the Theory of Bessel Functions is clearly and overtly intended for serious students and scholars of mathematics. This is a reference guide for those familiar with advanced principles, and should not be approached by the beginner. This work would not make an appropriate textbook, nor is it suitable for those who have not previously been introduced to the theory of Bessel functions.

As a reference guide, A Treatise on the Theory of Bessel Functions is a success. At over 800 pages it is a massive collection, and one that is sure to be beneficial to serious students of mathematics. This book is rich with information for those who have the background knowledge to absorb it, and is thus recommended for those pursuing the study of Bessel functions.

About the Publisher

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Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 133030277X
• ISBN 13: 9781330302774
• Reliure: Broché
• Nombre de pages: 814
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