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.
"Sinopsis" puede pertenecer a otra edición de este libro.
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
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
EUR 6,00 gastos de envío desde Francia a España
Destinos, gastos y plazos de envíoEUR 4,92 gastos de envío desde Reino Unido a España
Destinos, gastos y plazos de envíoLibrería: Ammareal, Morangis, Francia
Softcover. Condición: Bon. Couverture différente. Edition 2018. Editeur différent. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Good. Different cover. Edition 2018. Different publisher. Ammareal gives back up to 15% of this item's net price to charity organizations. Nº de ref. del artículo: G-563-206
Cantidad disponible: 1 disponibles
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330302774
Cantidad disponible: 15 disponibles
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330302774
Cantidad disponible: 15 disponibles
Librería: Forgotten Books, London, Reino Unido
Paperback. Condición: New. Print on Demand. This book delves into the fascinating world of Bessel functions, mathematical tools used to understand diverse phenomena like planetary motion and heat flow. Emerging from the work of mathematicians like Bernoulli, Euler, and Poisson, Bessel functions were formally defined and explored by Bessel in the 19th century. This book meticulously examines their properties, offering various representations and highlighting their connections to other mathematical concepts. Through detailed analysis, the author reveals the profound applications of Bessel functions in diverse areas of physics and mathematics. From understanding the vibrations of membranes and chains to solving intricate problems in heat conduction and astronomy, these functions offer powerful insights into the workings of our universe. Ultimately, this book illuminates the elegance and utility of Bessel functions, showcasing their enduring significance in unraveling complex natural phenomena. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781330302774_0
Cantidad disponible: Más de 20 disponibles
Librería: Revaluation Books, Exeter, Reino Unido
Paperback. Condición: Brand New. 814 pages. 9.00x6.00x1.50 inches. This item is printed on demand. Nº de ref. del artículo: zk133030277X
Cantidad disponible: 1 disponibles