Student solutions manual to accompany Complex Variables and Applications

8th ed.
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Last edited by laurenbr1
September 20, 2024 | History

Student solutions manual to accompany Complex Variables and Applications

8th ed.
  • 3 Want to read

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Publish Date
Language
English
Pages
167

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Edition Availability
Cover of: Student solutions manual to accompany Complex Variables and Applications
Student solutions manual to accompany Complex Variables and Applications
2009, McGraw-Hill Higher Education
in English - 8th ed.

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Book Details


Table of Contents

1. Complex numbers
Basic algebraic properties
Further alegbaic properties
Triangle inequality
Complex conjugates
Arguments of products and quotients
Examples
Regions in the complex plane
2. Analytic functions
The mapping w=z2
Continuity
Rules for differentiation
Poplar coordinates
Further examples
Harmonic functions
3. Elementary functions
The exponential function
Branches and derivatives of logarithms
Some identities involving logarithms
Examples
Zeros and singularities of trigonometric functions
Hyberbolic functions
Inverse trigonometric and hyperbolic functions
4. Integrals
Definite integrals of functions w(t)
Contours
Examples with branch cuts
Upper bounds for moduli of contour integrals
Proof of the theorem
Multiply connected domains
Some consequences of the extension
5. Series
Convergence of series
Negative powers of (z-z0)
Examples
Uniqueness of series representations
Multiplication and division of power series
6. Residues and poles
Residue at infinity
Examples
Examples
Zeros and poles
7. Applications of residues
Example
Jordan's lemma
Integration along a branch cut
Definite integrals invoving sines and cosines
Rouche's theorem
Inverse laplace transforms.

Edition Notes

Accompanying: Complex variables and applications, 8th ed., catalogued separately.

Published in
Boston

Classifications

Dewey Decimal Class
519.5
Library of Congress
QA331 .C524 2009 sup.1

The Physical Object

Pagination
167 pages
Number of pages
167

Edition Identifiers

Open Library
OL37814738M
ISBN 10
0073337307
ISBN 13
9780073337302
OCLC/WorldCat
312700468

Work Identifiers

Work ID
OL27716690W

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History

Download catalog record: RDF / JSON
September 20, 2024 Edited by laurenbr1 james ward brown
April 13, 2022 Created by ImportBot import new book