- 260 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Concise Complex Analysis
About this book
A concise textbook on complex analysis for undergraduate and graduate students, this book is written from the viewpoint of modern mathematics: the Bar {Partial}-equation, differential geometry, Lie groups, all the traditional material on complex analysis is included. Setting it apart from others, the book makes many statements and proofs of classical theorems in complex analysis simpler, shorter and more elegant: for example, the Mittag-Leffer theorem is proved using the Bar {Partial}-equation, and the Picard theorem is proved using the methods of differential geometry.
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Yes, you can access Concise Complex Analysis by Sheng Gong, Youhong Gong;;; in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Geometry. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Contents
- Preface to the Revised Edition
- Preface to the First Edition
- Foreword
- 1. Calculus
- 2. Cauchy Integral Theorem and Cauchy Integral Formula
- 3. Theory of Series of Weierstrass
- 4. Riemann Mapping Theorem
- 5. Differential Geometry and Picard Theorem
- 6. A First Taste of Function Theory of Several Complex Variables
- 7. Elliptic Functions
- 8. The Riemann ζ-Function and The Prime Number Theorem
- Bibliography
- Index