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.
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Paperback. Condition: 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. Seller Inventory # 9781330302774_0
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Paperback. Condition: Brand New. 814 pages. 9.00x6.00x1.50 inches. This item is printed on demand. Seller Inventory # zk133030277X
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