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.
| ISBN: | 9780821837412 |
| Publication date: | 30th November 2004 |
| Author: | Lester R Ford |
| Publisher: | American Mathematical Society |
| Format: | Hardback |
| Pagination: | 333 pages |
| Series: | Chelsea Publications |
| Genres: |
Number theory Mathematical logic Calculus and mathematical analysis |
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.
Automorphic Functions features in the following genres: Number theory, Mathematical logic, Calculus and mathematical analysis
Automorphic Functions is available in Hardback
Automorphic Functions was written by Lester R Ford and published by American Mathematical Society
Automorphic Functions has 333 pages
Yes it is part of Chelsea Publications series