Theory of Functions of a Complex Variable by A.R. Forsyth
Theory of Functions of a Complex Variable - Table of Contents
- 1. General Introduction & Complex Number Systems
- 2. Integration of Uniform Functions & Cauchy Theorems
- 3. Expansion of Functions into Power Series
- 4. Analysis of Uniform Functions & Singularities
- 5. Theory of Transcendental Integral Functions
- 6. Functions with Limited Essential Singularities
- 7. Unlimited Singularities & Series Expansions
- 8. Multiform Functions & Branch Points
- 9. Periods of Integrals & Periodic Functions
- 10. Simply Periodic & Doubly Periodic Functions
- 11. Doubly Periodic Functions of Second Order
- 12. Pseudo-Periodic Functions & Theta Series
- 13. Functions with Algebraic Addition Theorems
- 14. Topological Connectivity of Surfaces
- 15. Geometric Theory of Riemann Surfaces
- 16. Algebraic Functions & Abelian Integrals
- 17. Schwarz’s Proof of Existence Theorem
- 18. Applications of the Analytical Existence Theorem
- 19. Introduction to Conformal Representation
- 20. General Theory of Conformal Mapping
- 21. Groups of Linear Fractional Substitutions
- 22. Introduction to Automorphic Functions
- 23. Supplementary Notes on Abel’s Theorem
What You Will Learn in Theory of Functions of a Complex Variable
Theory of Functions of a Complex Variable by A. R. Forsyth is a landmark British treatise written for advanced research students and classical analysts. Serving as a fundamental complex variable textbook for graduate students, this volume presents a comprehensive unification of French, German, and British approaches to complex analysis.
Forsyth’s meticulous exposition enables readers to learn complex variable theory step-by-step. Topics progress logically from complex number representations and infinite products to Cauchy's integral formula, Laurent expansions, analytic continuation, and topological Riemann surfaces, making this a complete a r forsyth complex variable pdf study reference.
Ideal for university scholars, mathematical historians, and theoretical physicists, this classic work offers a valuable free complex analysis textbook for beginners. Available as an accessible public domain monograph, it stands as an essential complex analysis study guide for self-learners mastering geometric function theory.
Book Details & Specifications
Title:
Theory of Functions of a Complex Variable by A.R. Forsyth
Publisher:
Cambridge University Press
Year:
1918
Pages:
896
Type:
PDF
Language:
English
ISBN-10 #:
1147415056
ISBN-13 #:
978-1147415056
License:
Public Domain Work
Amazon:
Amazon
About the Author: Andrew Russell Forsyth
The author Andrew Russell Forsyth
(1858–1942) was a distinguished Scottish mathematician, Sadleirian Professor of Pure Mathematics at Cambridge University, and Fellow of the Royal Society, instrumental in introducing modern continental analysis to British mathematics.
His monumental masterwork, Theory of Functions of a Complex Variable PDF by A. R. Forsyth, served as the premier English language authority on complex analysis for generations of Cambridge mathematicians.
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