Complex analysis with Mathematica

by Shaw, William T,, Dr

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Title Statements

Full title :Complex analysis with Mathematica / William T. Shaw.

Edition Statements

Publication Date:2006.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:2006.

The Physical Object

Description:xxv, 571 pages : : illustrations (some color) ; : 26 cm

Edition Identifiers

ISBN:9780521836265, 0521836263
oclc:ocm58556059
LC Classification:QA76.95
Dewey Decimal:515.90285536

Why you need complex numbers -- Complex algebra and geometry -- Cubics, quartics and visualization of complex roots -- Newton-Raphson iteration and complex fractals -- A complex view of the real logistic map -- The Mandelbrot set -- Symmetric chaos in the complex plane -- Complex functions -- Sequences, series and power series -- Complex differentiation -- Paths and complex integration -- Cauchy's theorem -- Cauchy's integral formula and its remarkable consequences -- Laurent series, zeroes, singularities and residues -- Residue calculus: integration, summation and the argument principle -- Conformal mapping I: simple mappings and Möbius transforms -- Fourier transforms -- Laplace transforms -- Elementary applications to two-dimensional physics -- Numerical transform techniques -- Conformal mapping II: The Schwarz-Christoffel mapping -- Tiling the Euclidean and hyperbolic planes -- Physics in three and four dimensions I -- Physics in three and four dimensions II.

Subjects

Analyse mathématique Fonctions d'une variable complexe Functions of complex variables Funktionentheorie Mathematica (Computer file) Mathematica 5.1 Mathematical analysis