Automorphic Functions (AMS Chelsea Publishing) (Chelsea Publications) - Hardcover

American Mathematical Society

Hardcover

ISBN 10: 0821837419 ISBN 13: 9780821837412

Publisher: American Mathematical Society, 2006

Synopsis

Lester Ford's book was the first treatise in English on automorphic functions. At the time of its publication (1929), it was welcomed for its elegant treatment of groups of linear transformations and for the remarkably clear and explicit exposition throughout the book. Ford's extraordinary talent for writing has been memorialized in the prestigious award that bears his name. The book, in the meantime, has become a recognized classic. Ford's approach is primarily through analytic function theory. The first part of the book covers groups of linear transformations, especially Fuchsian groups, fundamental domains, and functions that are invariant under the groups, including the classical elliptic modular functions and Poincare theta series. The second part of the book covers conformal mappings, uniformization, and connections between automorphic functions and differential equations with regular singular points, such as the hypergeometric equation.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2006
• Language: English
• ISBN 10: 0821837419
• ISBN 13: 9780821837412
• Binding: Hardcover
• Edition number: 2
• Number of pages: 333