A Course in Complex Analysis in One Variable - Martin Moskowitz

Instant online reading.
Don't wait for delivery!
Go digital and save!

A Course in Complex Analysis in One Variable

By: Martin Moskowitz

Write A Review

Hardcover | 18 April 2002

At a Glance

Hardcover
160 Pages

Dimensions(cm)
22.86 x 15.24 x 1.91

Hardcover

$134.75

or 4 interest-free payments of $33.69 with

or

Ships in 10 to 15 business days

Complex analysis presents completely unforeseen results that are of a dramatic, even magical, nature. This manual is designed to convey its excitement and extraordinary character to the student. The exposition presents basic complex analysis in around 130 pages, with about 50 exercises. The material constantly relates to and contrasts with that of its sister subject, real analysis. An unusual feature of this book is a short final chapter containing applications of complex analysis to Lie theory. Since much of the content originated in a one-semester course given at the CUNY Graduate Center, the text should be very suitable for first year graduate students in mathematics who want to learn the basics of this important subject. For advanced undergraduates, there should be enough material for a year-long course or, by concentrating on the first three chapters, for one-semester course.

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.

More in Differential Calculus & Equations

Differential Modules over Differential Rings

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Hardcover

RRP $242.00

$211.75

12%
OFF

Fractional Differential Equations : Numerical Methods for Applications - Matthew Harker

$368.75

14%
OFF

Abstract Cauchy Problems

Three Approaches

Hardcover

RRP $315.00

$271.99

14%
OFF

Multivariable Calculus Set Free Infinitesimals Ride Again : Infinitesimals Ride Again - & #x13E3; & #x13B5; & #x13D3; & #x13D0; & #x13C2; , C. Bryan Dawson

$179.75

12%
OFF

Differential and Difference Equations in Mathematical Biology

Chapman & Hall/CRC Mathematical Biology Series

Hardcover

RRP $315.00

$271.99

14%
OFF

$LEC NOTE MATH OLYM : SNR SEC (V1) - XU JIAGU$

LEC NOTE MATH OLYM

SNR SEC (V1)

Paperback

RRP $77.99

$70.75

Differential and Difference Equations with Applications in Queueing Theory - Aliakbar Montazer Haghighi

$315.99

14%
OFF

Weak Solutions to the Master Equation of Potential Mean Field Games

Memoirs of the American Mathematical Society

Paperback

RRP $197.00

$187.75

Quasiperiodic Solutions of the Generalized SQG Equation : Annals of Mathematics Studies - Javier Gmez-Serrano

$39.75

Universitext : Continuous and Integrable Functions - Franz Gmeineder

$290.99

The Calderon Problem

An Introduction

Paperback

RRP $206.00

$195.75

Preface and Acknowledgments	p. v
First Concepts	p. 1
Fundamentals of the complex field	p. 1
Holomorphic functions	p. 3
Some important examples	p. 5
The Cauchy-Riemann equations	p. 10
Some elementary differential equations	p. 14
Conformality	p. 16
Power series	p. 18
Integration Along a Contour	p. 21
Curves and their trajectories	p. 21
Change of Parameter and a Fundamental Inequality	p. 24
Some important examples of contour integration	p. 27
The Cauchy theorem in simply connected domains	p. 29
Some immediate consequences of Cauchy's theorem for a simply connected domain	p. 39
The Main Consequences of Cauchy's theorem	p. 43
The Cauchy theorem in multiply connected domains and the pre-residue theorem	p. 43
The Cauchy integral formula and its consequences	p. 45
Analyticity, Taylor's theorem and the identity theorem	p. 53
The area formula and some consequences	p. 61
Application to spaces of square integrable holomorphic functions	p. 64
Spaces of holomorphic functions and Montel's theorem	p. 67
The maximum modulus theorem and Schwarz' lemma	p. 70
Singularities	p. 75
Classification of isolated singularities, the theorems of Riemann and Casorati-Weierstrass	p. 75
The principle of the argument	p. 80
Rouche's theorem and its consequences	p. 86
The study of a transcendental equation	p. 91
Laurent expansion	p. 94
The calculation of residues at an isolated singularity, the residue theorem	p. 99
Application to the calculation of real integrals	p. 103
A more general removable singularities theorem and the Schwarz reflection principle	p. 108
Conformal Mappings	p. 113
Linear fractional transformations, equivalence of the unit disk and the upper half plane	p. 113
Automorphism groups of the disk, upper half plane and entire plane	p. 114
Annuli	p. 120
The Riemann mapping theorem for planar domains	p. 123
Applications of Complex Analysis to Lie Theory	p. 131
Applications of the identity theorem: Complete reducibility of representations according to Hermann Weyl and the functional equation for the exponential map of a real Lie group	p. 131
Application of residues: The surjectivity of the exponential map for U(p,q)	p. 134
Application of Liouville's theorem and the maximum modulus theorem: The Zariski density of cofinite volume subgroups of complex Lie groups	p. 138
Applications of the identity theorem to differential topology and Lie groups	p. 140
Bibliography	p. 143
Index	p. 145
Table of Contents provided by Syndetics. All Rights Reserved.

A Course in Complex Analysis in One Variable

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Differential Calculus & Equations

Differential Modules over Differential Rings

Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Fractional Differential Equations

Numerical Methods for Applications

Two-Dimensional Self and Product Polynomial Systems

Differential Equations

An Elementary Approach

The Secret Life of Equations

The 50 Greatest Equations and How They Work

Scattering of Waves

Theory and Applications

Abstract Cauchy Problems

Three Approaches

Multivariable Calculus Set Free Infinitesimals Ride Again

Infinitesimals Ride Again

Multivariable Calculus Set Free Infinitesimals Ride Again

Infinitesimals Ride Again

Elementary Differential Equations

Textbooks in Mathematics

Differential and Difference Equations in Mathematical Biology

Chapman & Hall/CRC Mathematical Biology Series

LEC NOTE MATH OLYM

SNR SEC (V1)

Differential and Difference Equations with Applications in Queueing Theory

Inverse Engineering Handbook

Handbook Series for Mechanical Engineering

Weak Solutions to the Master Equation of Potential Mean Field Games

Memoirs of the American Mathematical Society

Quasiperiodic Solutions of the Generalized SQG Equation

Annals of Mathematics Studies

Quasiperiodic Solutions of the Generalized SQG Equation

Annals of Mathematics Studies

Differential Equations and Variational Methods on Graphs

With Applications to Machine Learning and Image Analysis

Why Don t Rabbits Rule The World?

Mathematical answers to life s key questions

Universitext

Continuous and Integrable Functions

Ordinary Differential Equations: Concepts, Methods, and Models

A Course after Calculus 2

Mathematical Demography

Theory and Modeling

The Calderon Problem

An Introduction

The Calderon Problem

An Introduction

This product is categorised by