Complex Variables: A Physical Approach with Applications and MATLAB, 1st Edition (e-Book) book cover

Complex Variables

A Physical Approach with Applications and MATLAB, 1st Edition

By Steven G. Krantz

Chapman and Hall/CRC

358 pages

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Hardback: 9781584885801
pub: 2007-09-19
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Description

From the algebraic properties of a complete number field, to the analytic properties imposed by the Cauchy integral formula, to the geometric qualities originating from conformality, Complex Variables: A Physical Approach with Applications and MATLAB explores all facets of this subject, with particular emphasis on using theory in practice.

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Table of Contents

Preface. Basic Ideas. Holomorphic and Harmonic Functions. The Cauchy Theory. Applications of the Cauchy Theory. Isolated Singularities. The Argument Principle. The Geometric Theory. Applications of Conformal Mapping. Harmonic Functions. Transform Theory. PDEs and Boundary Value Problems. Computer Packages. Appendices. Bibliography. Index.

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations
MAT037000
MATHEMATICS / Functional Analysis