My Wish Lists Login / Join

COURSE IN COMPLEX ANALYSIS IN ONE VARIABLE, A - Martin A Moskowitz

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

COURSE IN COMPLEX ANALYSIS IN ONE VARIABLE, A

By: Martin A 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

$136.99

or 4 interest-free payments of $34.25 with

Ships in 10 to 15 business days

Complex analysis is a beautiful subject — perhaps the single most beautiful; and striking; in mathematics. It presents completely unforeseen results that are of a dramatic; even magical; nature. This invaluable book will convey to the student its excitement and extraordinary character. The exposition is organized in an especially efficient manner; presenting 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 will be very suitable for first year graduate students in mathematics who want to learn the basics of this important subject. For advanced undergraduates; there is 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 $79.00 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 Functional Analysis & Transforms Differential Calculus & Equations Booktopia Publisher Services World Scientific Publishing Algebra Science Physics

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.

COURSE IN COMPLEX ANALYSIS IN ONE VARIABLE, A

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Complex Analysis

Learning Algorithms

A Programmer's Guide to Writing Better Code

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

Data-Driven Modeling & Scientific Computation

Methods for Complex Systems & Big Data

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

Astral Space

Convex Analysis at Infinity

From Classical Analysis to Analysis on Fractals

A Tribute to Robert Strichartz, Volume 2

Learning Spark

Lightning-Fast Data Analytics

Sampling, Frames, and Harmonic Analysis

A Mathematical Celebration of Akram Aldroubi's 65th Birthday

Triangular Bases of Unimodular Bilinear Lattices and Induced Structures

Automorphism Groups, Vanishing Cycles, Monodromy Groups, Braid Group Actions and Moduli Spaces

COURSE IN ANALYSIS, A (V4)

Fourier Analysis, Ordinary Differential Equations, Calculus Of Variations

Trigonometric Functions and Complex Numbers

In Mathematical Olympiad And Competitions

FROM NUMBERS TO ANALYSIS

Constructions and Properties

Lecture Notes in Mathematics

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

Complex Analysis

.

NONLINEAR WORKBOOK (6TH ED)

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)

Lectures on Complex Analysis

Machine Learning Design Patterns

Solutions to Common Challenges in Data Preparation, Model Building, and MLOps

Learning Google Analytics

Creating Business Impact and Driving Insights

Data-Driven Modeling & Scientific Computation

Methods for Complex Systems & Big Data

Bounding Numerical Invariants Of Algebraic Varieties

From Scaling and Perturbation to Stability

Textbooks in Mathematics

Complex Analysis in One Variable

Universitext

This product is categorised by