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Subjects
Functions of complex variablesEdition | Availability |
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1
Student solutions manual to accompany Complex Variables and Applications
2009, McGraw-Hill Higher Education
in English
- 8th ed.
0073337307 9780073337302
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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.
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September 20, 2024 | Edited by laurenbr1 | james ward brown |
April 13, 2022 | Created by ImportBot | import new book |