Complex Analysis
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€132.99
A01=Guantie Deng
Analytic Functions
Argument Principle
Author_Guantie Deng
Big Picard's Theorem
Blaschke Product
Canonical product
Carath$acute{e}$odory's convergence theorem
Category=PBKD
Category=PBKF
Cauchy Type Integral
Complex Differentiability
Conformal Mapping
Convergence of Regions
eq_isMigrated=1
eq_nobargain
Exponent of Convergence
Functions of a Complex Variable
Genus
Harmonic Functions
Holomorphic Fourier Transforms
Hp Spaces
Infinite Products
Mergelyan's Theorem
Nevanlinna Representation
Normal Family
Order and Type of Entire Functions
Parseval's Equality
Rational Function
Residue Theorem
Schwarz Integral Formula
Simply Connected Region
Stieltjes Inversion Formula
Subharmonic Functions
The Beta Function
The Gamma Function
the Hadamard Factorization Theorem
The Poisson kernel
The Riemann Mapping Theorem
The Riemann Zeta Function
The Weierstrass Factorization Theorem
Uniform Approximation
Upper Semicontinuous Functions
Product details
- ISBN 9789811298813
- Publication Date: 22 Jan 2025
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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The book comprises six chapters, each meticulously structured to build a comprehensive understanding of complex analysis. Chapter 1 covers the most fundamental concepts, providing the essential groundwork that permeates the entire text. Chapter 2 delves into normal families, the Riemann mapping theorem, and conformal mapping. Chapter 3 focuses on the zeros of analytic functions, while Chapter 4 explores the essential properties of harmonic and subharmonic functions. Chapter 5 introduces H^p spaces and the Fourier transform, highlighting their interconnections. The final chapter discusses uniform approximation by rational functions.Emphasizing foundational theories, modern methods, and key ideas in complex analysis, this book also presents some cutting-edge research problems and recent advancements. The topics are thoughtfully selected, and the exposition is clear and rigorous. This book is an excellent resource for graduate students and independent learners alike. It features many new and concise proofs of classical theorems, and offers numerous challenging exercises to deepen understanding.
