Concise Complex Analysis

By: Sheng Gong

Write A Review

Hardcover | 1 December 2000

Sorry, we are not able to source the book you are looking for right now.

We did a search for other books with a similar title, however there were no matches. You can try selecting from a similar category, click on the author's name, or use the search box above to find your book.

This is a concise textbook of complex analysis for undergraduate and graduate students. It has been written from the viewpoint of modern mathematics -- the equation, differential geometry, Lie groups, etc. It contains all the traditional material on complex analysis, but many statements and proofs of classical theorems in complex analysis have been made simpler, shorter and more elegant due to modern mathematical ideas and methods. For example, the Mittag-Leffler theorem is proved by the equation, the Picard theorem is proved using the methods of differential geometry, and so on.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Complex Analysis Geometry Differential & Riemannian Geometry Differential Calculus & Equations Booktopia Publisher Services World Scientific Publishing

Preface	p. v
Foreward	p. vii
Calculus	p. 1
A glimpse of calculus	p. 1
Complex number field, extended complex plane and spherical representation	p. 8
Complex differentiation	p. 11
Complex integration	p. 16
Elementary functions	p. 19
Complex series	p. 26
Exercises I	p. 30
Cauchy integral theorem and Cauchy integral formula	p. 37
Cauchy-Green formula (Pompeiu formula)	p. 37
Cauchy-Goursat theorem	p. 41
Taylor series and Liouville theorem	p. 48
Some results on zero points	p. 55
Maximum modulus principle, Schwarz lemma, group of holomorphic automorphism	p. 60
Integral representation of holomorphic function	p. 65
Exercises II	p. 70
Partition of unity	p. 77
Theory of series of Weierstrass	p. 81
Laurent series	p. 81
Isolate singularity	p. 86
Entire functions and meromorphic functions	p. 89
Weierstrass factorization theorem, Mittag-Leffler theorem and interpolation theorem	p. 93
Residue theorem	p. 102
Analytic continuation	p. 107
Exercises III	p. 110
Riemann mapping theorem	p. 115
Conformal mapping	p. 115
Normal family	p. 120
Riemann mapping theorem	p. 123
Symmetric principle	p. 126
Examples of Riemann surface	p. 128
Schwarz-Christoffel formula	p. 130
Exercises IV	p. 133
Riemann surface	p. 135
Differential geometry and Picard theorem	p. 137
Metric and curvature	p. 137
Ahlfors-Schwarz lemma	p. 142
Extension of Liouville theorem and value distribution	p. 144
Picard little theorem	p. 146
Extension of normal family	p. 147
Picard great theorem	p. 151
Exercises V	p. 153
Curvature	p. 154
Elementary facts on several complex variables	p. 159
Introduction	p. 159
Cartan theorem	p. 162
Groups of holomorphic automorphisms of unit ball and unit bidisk	p. 164
Poincare theorem	p. 168
Hartogs theorem	p. 170
References	p. 175
Table of Contents provided by Syndetics. All Rights Reserved.

Concise Complex Analysis

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Complex Analysis

Mastering Shiny

Build Interactive Apps, Reports, and Dashboards Powered by R

Data Science on AWS

Implementing End-To-End, Continuous AI and Machine Learning Pipelines

Learning Algorithms

A Programmer's Guide to Writing Better Code

A Second Course in Complex Analysis

Textbooks in Mathematics

Social Construction as a Complex Attractor

The Multiple Dimensions of Entanglement, Innovation and Recurrence

Data-Driven Modeling & Scientific Computation

Methods for Complex Systems & Big Data

Textbooks in Mathematics

Volume 1

Schaum's Outline of Complex Variables

Schaum's Outline Series

Harmonic Analysis Techniques for Elliptic Operators

Lecture Notes of the 27th Internet Seminar on Evolution Equations

Vector Bundles and Connections

An Introduction

Spectral Networks

Bridging Higher-rank Teichmuller Theory and BPS States

Spherical Functions on a Group of p-adic Type

Lecture Notes in Mathematics

Lectures on Complex Analysis

Schur Analysis and Applications to Hypercomplex Analysis, Neural Networks, and Linear Systems

Chapman University, January 2024

Applied and Numerical Harmonic Analysis

A Tribute to Robert Strichartz, Volume 2

Course in Analysis, a - Vol. IV

Fourier Analysis, Ordinary Differential Equations, Calculus of Variations

Learning Spark

Lightning-Fast Data Analytics

Fractional Calculus for Skeptics II

Quantifying Roughness

Number Systems

Constructions and Properties

Complex Analysis

.

Nonlinear Workbook, The

Chaos, Fractals, Cellular Automata, Genetic Algorithms, Gene Expression Programming, Support Vector Machine, Wavelets, Hidden Markov Models, Fuzzy Logic with C++, Java and Symbolicc++ Programs (6th Edition)

Lecture Notes in Mathematics

Seminar, University Park PA, March 10-14, 1986

TRIGONOMETRIC FUNCTIONS AND COMPLEX NUMBERS

In Mathematical Olympiad And Competitions

Learning Google Analytics

Creating Business Impact and Driving Insights

This product is categorised by