An Introduction to the Theory of Automorphic Functions by Lester Ford
An Introduction to the Theory of Automorphic Functions - Table of Contents
- 1. Theory of Linear Transformations
- 2. Groups of Linear Transformations
- 3. Foundations of Automorphic Functions
- 4. The Riemann–Schwarz Triangle Functions
- 5. Principles of Non-Euclidean Geometry
- 6. The Uniformization Theorem
What You Will Learn in An Introduction to the Theory of Automorphic Functions
An Introduction to the Theory of Automorphic Functions by Lester R. Ford is an authoritative classic designed to build a solid foundation in modern complex analysis and geometric function theory. Developed as a comprehensive university reference, this automorphic functions textbook for graduate students focuses on linear fractional transformations, Ford circles, fundamental domains, and discontinuous groups.
Ford’s approach is remarkably clear, geometric, and structured. Each concept is introduced with precise derivations, allowing readers to learn automorphic functions concepts step-by-step—from Fuchsian and Kleinian groups to Poincaré theta series and modular functions. This intuitive methodology makes the volume an essential automorphic functions theory lester ford pdf resource for studying invariant functions under discrete subgroups.
Ideal for graduate students in mathematics, theoretical physicists, and research scholars, this landmark text serves as a powerful free complex analysis textbook for advanced students. Available as an accessible educational reference, it remains a reliable automorphic functions study guide for self-learners aiming to master the geometric foundation of elliptic modular functions and hyperbolic geometry.
Book Details & Specifications
Title:
An Introduction to the Theory of Automorphic Functions by Lester Ford
Publisher:
G. Bell & Sons
Year:
1915
Pages:
118
Type:
PDF
Language:
English
ISBN-10 #:
1330351169
ISBN-13 #:
978-1330351161
License:
Public Domain Work
Amazon:
Amazon
About the Author: Lester Randolph Ford
The author Lester Randolph Ford
(1886–1975) was a distinguished American mathematician, President of the Mathematical Association of America (MAA), and editor of the American Mathematical Monthly, widely celebrated for discovering "Ford Circles" and his foundational books on differential equations and automorphic functions.
His classic monograph Theory of Automorphic Functions PDF by Lester R. Ford remains one of the most accessible and elegant introductions to geometric function theory ever published.
Read or Downloadable An Introduction to the Theory of Automorphic Functions
Free Complex Analysis Books PDF | Download University Textbooks