E T Whittaker was an early 20th century Mathematician.  He is credited with pioneering research in special functions.  Whittaker was a member of the Royal Society.  He was professor of Astronomy at the University of Dublin and Professor of Mathematics at the University of Edinburgh.   A Course of Modern Analysis was the first book in English to present the theory of functions of a complex variable at an undergraduate level. This book was instrumental in the study of such functions and their expansions as well as the study of special functions and their related differential equations.

Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions,4th edition

Science & Math

E. T. Whittaker

G. N. Watson

Mathematics

Cambridge University Press

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

Excerpt from A Treatise on the Theory of Bessel Functions\nThe 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.

Forgotten Books

Excerpt from Complex Integration and Cauchy's Theorem My endeavour has been to place the whole theory on a definitely arithmetical basis without appealing to geometrical intuitions. With that end in View, it seemed necessary to include an account of various propositions of Analysis Sirius, on which depends the proof of the theorem in its most general form. In proving these propositions, I have followed the general course of a memoir by Ames; my indebtedness to it and to the textbooks on Analysis by Goursat and by de la Vall e Poussin Will be obvious to those who are acquainted with those works. 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.

Complex Integration and Cauchy’s Theorem (Classic Reprint)

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 PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.

A Course Of Modern Analysis - Second Edition - An Unabridged, Completely Revised Printing Of The First Edition, With Additions (Riemann Integration, Integral Equations, Riemann-Zeta Function) And Corrections, And Consistent With All Subsequent Editions (at publication), Save For The 23rd Chapter Dealing With Ellipsoidal Harmonics And Lame's Equation - This Edition Has Been Digitally Enlarged, To Include The Decimal System Of Paragraphing, With Appendix, List Of Quoted Authors, And Comprehensive General Index.

A Course of Modern Analysis

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Books by G. N. Watson

See the best price to sell, buy, or rent books by G. N. Watson. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; with an Account of the Principal Transcendental Functions,4th edition

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

Complex Integration and Cauchy’s Theorem (Classic Reprint)

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

A Course of Modern Analysis