A Course of Modern Analysis by Whittaker & Watson
A Course of Modern Analysis - Table of Contents
Part I – THE PROCESSES OF ANALYSIS
- 1. Complex Numbers
- 2. The Theory of Convergence
- 3. Continuous Functions and Uniform Convergence
- 4. The Theory of Riemann Integration
- 5. Fundamental Properties of Analytic Functions
- 6. The Theory of Residues
- 7. Expansion of Functions in Infinite Series
- 8. Asymptotic Expansions and Summable Series
- 9. Fourier Series and Trigonometrical Series
- 10. Linear Differential Equations
- 11. Integral Equations
Part II – THE TRANSCENDENTAL FUNCTIONS
- 12. The Gamma Function
- 13. The Zeta Function of Riemann
- 14. The Hypergeometric Function
- 15. Legendre Functions
- 16. The Confluent Hypergeometric Function
- 17. Bessel Functions
- 18. Equations of Mathematical Physics
- 19. Mathieu Functions
- 20. Weierstrassian Elliptic Functions
- 21. The Theta Functions
- 22. The Jacobian Elliptic Functions
- 23. Ellipsoidal Harmonics and Lamé’s Equation
What You Will Learn in A Course of Modern Analysis
A Course of Modern Analysis by E. T. Whittaker and G. N. Watson is one of the most influential references in classical analysis and applied mathematics. Functioning as an indispensable standard for graduate scholars, this volume serves as a core resource for a course of modern analysis problem solving practice.
The book systematically covers complex variables, infinite series, Cauchy’s theorem, asymptotic expansions, Riemann zeta functions, Gamma functions, hypergeometric series, and Bessel functions. By linking foundational theory with rigorous integration techniques, Whittaker and Watson enable scholars to execute essential modern analysis special function derivations with total mathematical precision.
Universally acclaimed for its analytical depth and elegant proofs, this classic text remains a foundational pillar across pure and applied mathematical research. Whittaker and Watson’s comprehensive structure arms readers with essential analytical tools needed for mastering classical complex analysis principles.
ians, providing insights that bridge classical and modern approaches. Today, it continues to serve as a fundamental resource for mastering advanced analytic techniques.
Book Details & Specifications
Title:
A Course of Modern Analysis by Whittaker & Watson
Publisher:
University Press
Year:
1920
Pages:
602
Type:
PDF
Language:
English
ISBN-10 #:
1316518930
ISBN-13 #:
978-1316518939
License:
Public Domain Work
Amazon:
Amazon
About the Author: Sir Edmund Taylor Whittaker and George Neville Watson
The author Sir Edmund Taylor Whittaker and George Neville Watson
were preeminent 20th-century British mathematicians renowned for their ground-breaking work in analysis, differential equations, and special functions.
Together, Whittaker and Watson authored this monumental work, providing generation after generation of researchers with definitive advanced complex analysis reference guides.
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