Name: Complex Variables with Applications By David Wunsch
SKU: 9780201756098
Price: 21.21 USD
Availability: InStock

Complex Variables with Applications Summary

Complex Variables with Applications by David Wunsch

The third edition of this unique text remains accessible to students of engineering, physics and applied mathematics with varying mathematical backgrounds. Designed for a one or two-semester course in complex analysis, there is optional review material on elementary calculus.

Complex Numbers. Introduction. More Properties of Complex Numbers. Complex Numbers and the Argand Place. Integer and Fractional Powers of Complex Numbers. Loci, Points, Sets and Regions in the Complex Plane. The Complex Function and its Derivative. Introduction. Limits and Continuity. The Complex Derivative. The Derivative and Analyticity. Harmonic Functions. Some Physical Applications of Harmonic Functions. The Basic Transcendental Functions. The Exponential Function. Trigonometric Functions. Hyperbolic Functions. The Logarithmic Function. Analyticity of the Logarithmic Function. Complex Functions. Inverse Trigonometric and Hyperbolic Functions. More on Branch Cuts and Branch Points. Appendix: Phasors. Integration in the Complex Plane. Introduction to Line Integration. Complex Line Integration. Contour Integration and Green's Theorem. Path Independence, Indefinite Integrals, Fundamental Theorem of Calculus in the Complex Plane. The Cauchy Integral Formula and it Extension. Some Applications of the Cauchy Integral Formula. Introduction to Dirichlet Problems - The Poisson Integral Formula for the Circle and Half Plane. Appendix: Green's Theorem in the Plane. Infinite Series Involving a Complex Variable. Introduction and Review of Real Series. Complex Sequences and Convergence of Complex Series. Uniform Convergence of Series. Power Series and Taylor Series. Techniques for Obtaining Taylor Series Expansions. Laurent Series. Properties of Analytic Functions Related to Taylor Series: Isolation of Zeros, Analytic Continuation, Zeta Function, Refelction. The z transformation. Appendix A: Fractals and the Mandelbrot Set. Residues and Their Use in Integration. Introduction Definition of the Residue. Isolated Singularities. Finding the Residue. Evaluation of Real Inte

Additional information

Sku

CIN0201756099G

ISBN 13

9780201756098

ISBN 10

0201756099

Title

Complex Variables with Applications by David Wunsch

Author

David Wunsch

Condition

Used - Good

Binding type

Paperback

Publisher

Pearson Education (US)

Year published

20040827

Number of pages

704

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

Complex Variables with Applications David Wunsch

Complex Variables with Applications by David Wunsch

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Complex Variables with Applications Summary

Complex Variables with Applications by David Wunsch

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