Complex analysis with Mathematica

Complex analysis with Mathematica

by SHAW, WILLIAM T.

Type Book
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Accompanying CD-ROM contains ... "a live version of the book. In particular all the Mathematica code enables the user to run computer experiments."--Page 4 of cover.

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Title Statements

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

Summary

Accompanying CD-ROM contains ... "a live version of the book. In particular all the Mathematica code enables the user to run computer experiments."--Page 4 of cover.

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Edition Statements

  • Publication Date:2005.

Publication Statements

Notes

Includes index.

The Physical Object

  • Description:1 online resource (xxv, 571 pages) : : illustrations (some color)

Edition Identifiers

  • ISBN:9781316036549, 1316036545
  • oclc:ocn224478345
  • LC Classification:QA76.95
  • Dewey Decimal:515.90285536

Table of Contents

1. Why you need complex numbers -- 2. Complex algebra and geometry -- 3. Cubics, quartics and visualization of complex roots -- 4. Newton-Raphson iteration and complex fractals -- 5. complex view o the real logistic map -- 6. Mandelbrot set -- 7. Symmetric chaos in the complex plane -- 8. Complex functions -- 9. Sequences, series and power series -- 10. Complex differentiation -- 11. Paths and complex integration -- 12. Cauchy's theorem -- 13. Cauchy's integral formula and its remarkable consequences -- 14. Laurent series, zeroes, singularities and residues -- 15. Residue calculus : integration, summation and the argument principle -- 16. Conformal mapping I : simple mappings and Mobius transforms -- 17. Fourier transforms -- 18. Laplace transforms -- 19. Elementary applications to two-dimensional physics -- 20. Numerical transform techniques -- 21. Conformal mapping II : the Schwarz-Christoffel mapping -- 22. Tiling the Euclidean and hyperbolic planes -- 23. Physics in three and four dimensions I -- 24. Physics in three and four dimensions II.

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