Automorphic Functions - Hardcover

Ford, Lester R.

Hardcover

ISBN 10: 0828400857 ISBN 13: 9780828400855

Publisher: Chelsea Pub Co, 1972

Synopsis

This second edition explores automorphic functions.

About this title

Review

This book is the first containing an extensive systematic treatment of the theory of automorphic functions in English. The author has succeeded in presenting this difficult subject in a manner which makes it accessible to those who are familiar with the fundamentals of the theory of functions of a complex variable. ... The first chapter, entitled 'Linear Transformations,' and the second, 'Groups of Linear Transformations,' give an especially clear treatment of topics which are of great importance in later work. --Fred W. Perkins, American Mathematical Monthly

The exposition is remarkably clear and explicit ... a very simple and elegant treatment of groups of linear transformations, their fundamental regions and the functions invariant under the groups ... Professor Ford's work, in the first part of his book, is not mere exposition. The methods which he creates are original, and of permanent scientific value ... The second half of the book gives a detailed account of conformal mapping and uniformization, and considers some of the relations of automorphic functions to differential equations. --Bulletin of the AMS

Edition details

• Publisher: Chelsea Pub Co
• Publication date: 1972
• ISBN 10: 0828400857
• ISBN 13: 9780828400855
• Binding: Hardcover
• Language: English
• Edition number: 2