Student solutions manual to accompany Complex Variables and Applications
By: James Ward Brown, Ruel V. Churchill
Contributors: Churchill, Ruel Vance, 1899-1987
Edition: 8th ed.
Publisher: McGraw-Hill Higher Education
Published: 2009
Place of publication: Boston
Language: eng
Number of pages: 167
ISBN-13: 9780073337302
Subjects: Functions of complex variables
Notes: Accompanying: Complex variables and applications, 8th ed., catalogued separately.
Table of contents: title: 1. Complex numbers; title: Basic algebraic properties; title: Further alegbaic properties; title: Triangle inequality; title: Complex conjugates; title: Arguments of products and quotients; title: Examples; title: Regions in the complex plane; title: 2. Analytic functions; title: The mapping w=z2; title: Continuity; title: Rules for differentiation; title: Poplar coordinates; title: Further examples; title: Harmonic functions; title: 3. Elementary functions; title: The exponential function; title: Branches and derivatives of logarithms; title: Some identities involving logarithms; title: Examples; title: Zeros and singularities of trigonometric functions; title: Hyberbolic functions; title: Inverse trigonometric and hyperbolic functions; title: 4. Integrals; title: Definite integrals of functions w(t); title: Contours; title: Examples with branch cuts; title: Upper bounds for moduli of contour integrals; title: Proof of the theorem; title: Multiply connected domains; title: Some consequences of the extension; title: 5. Series; title: Convergence of series; title: Negative powers of (z-z0); title: Examples; title: Uniqueness of series representations; title: Multiplication and division of power series; title: 6. Residues and poles; title: Residue at infinity; title: Examples; title: Examples; title: Zeros and poles; title: 7. Applications of residues; title: Example; title: Jordan's lemma; title: Integration along a branch cut; title: Definite integrals invoving sines and cosines; title: Rouche's theorem; title: Inverse laplace transforms.