Complex Analysis
eBook - PDF

Complex Analysis

An Invitation

Murali Rao, Henrik Stetkaer;;;

  1. 252 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Complex Analysis

An Invitation

Murali Rao, Henrik Stetkaer;;;

Book details
Table of contents
Citations

About This Book

This is a rigorous introduction to the theory of complex functions of one complex variable. The authors have made an effort to present some of the deeper and more interesting results, for example, Picard's theorems, Riemann mapping theorem, Runge's theorem in the first few chapters. However, the very basic theory is nevertheless given a thorough treatment so that readers should never feel lost. After the first five chapters, the order may be adapted to suit the course. Each chapter finishes with exercises.

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Information

Publisher
WSPC
Year
1991
ISBN
9789813103610
Topic
Matematica
Subtopic
Equazioni differenziali

Table of contents

  1. Contents
  2. Preface
  3. Chapter 1 Power Series
  4. Chapter 2 Holomorphic and Analytic Functions
  5. Chapter 3 The Exponential Function, the Logarithm and the Winding Number
  6. Chapter 4 Basic Theory of Holomorphic Functions
  7. Chapter 5 Global Theory
  8. Chapter 6 Isolated Singularities
  9. Chapter 7 The Picard Theorems
  10. Chapter 8 Geometric Aspects and the Riemann Mapping Theorem
  11. Chapter 9 Meromorphic Functions and Runge's Theorems
  12. Chapter 10 Representations of Meromorphic Functions
  13. Chapter 11 The Prime Number Theorem
  14. Chapter 12 Harmonic Functions
  15. Chapter 13 Subharmonic Functions
  16. Chapter 14 Various Applications
  17. References
  18. Index
Citation styles for Complex Analysis

APA 6 Citation

Rao, M., & Stetkaer;;;, H. (1991). Complex Analysis ([edition unavailable]). World Scientific Publishing Company. Retrieved from https://www.perlego.com/book/852615/complex-analysis-an-invitation-pdf (Original work published 1991)

Chicago Citation

Rao, Murali, and Henrik Stetkaer;;; (1991) 1991. Complex Analysis. [Edition unavailable]. World Scientific Publishing Company. https://www.perlego.com/book/852615/complex-analysis-an-invitation-pdf.

Harvard Citation

Rao, M. and Stetkaer;;;, H. (1991) Complex Analysis. [edition unavailable]. World Scientific Publishing Company. Available at: https://www.perlego.com/book/852615/complex-analysis-an-invitation-pdf (Accessed: 14 October 2022).

MLA 7 Citation

Rao, Murali, and Henrik Stetkaer;;; Complex Analysis. [edition unavailable]. World Scientific Publishing Company, 1991. Web. 14 Oct. 2022.