A Course of Modern Analysis: An Introduction to the General Theory of Infinte Processes and of Analytic Functions; With an Account of the Principal Transcendental Functions

Cambridge Mathematical Library

by Edmund Taylor Whittaker

This classic text has entered and held the field as the standard book on the applications of analysis to the transcendental functions. The authors explain the methods of modern analysis in the first part of the book and then proceed to a detailed discussion of the transcendental function, unhampered by the necessity of continually proving new theorems for special applications. In this way the authors have succeeded in being rigorous without imposing on the reader the mass of detail that so often tends to make a rigorous demonstration tedious. Researchers and students will find this book as valuable as ever.

Genres: Mathematics, Science, Reference

608 pages, Paperback

First published January 1, 1927

About the author

1873-

Reviews

[Wissam Raji · Rating 5 out of 5]

A must-have classic in the theory of classical analysis. Treatment of topics is highly beneficial for number theorists, analysts, and algebraists. It is one of the excellent references to own. The topics treated about the special functions are rare to find in other books and are very useful for students in analytic number theory.

[William Schram · Rating 5 out of 5]

My mathematical history is fraught with confusion and missteps. I took classes up to Calculus II, where we had to memorize the Integration Rules for Trig Functions and some other ideas. I barely remember the material, but I did okay in the first semester of Calculus.

A Course of Modern Analysis: Third Edition is a Dover reprint of a 1902 classic. There are also some chapters added to the text from 1920. E. T. Whittaker and G. M. Watson collaborated on the book. It is a masterpiece of clarity. The book follows the tried-and-true idea of beginning with simple concepts and building to more challenging topics.

There are some points where the book shows its age, but these are minor nitpicks. For example, when the authors wrote "shew," they meant "show." Minor spelling errors are acceptable when a book is over 100 years old. I don't think the book has answers for the exercises, either. I may need to look more closely.

I enjoyed the book. Thanks for reading my review, and see you next time.

[The Architect]

For an up-to-date version of the treatment of special functions, see the "Bateman Manuscript Project".