CRC Standard Curves and Surfaces with Mathematica, Second Edition

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CRC Press, Oct 20, 2006 - Mathematics - 556 pages
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Since the publication of the first edition, Mathematica® has matured considerably and the computing power of desktop computers has increased greatly. This enables the presentation of more complex curves and surfaces as well as the efficient computation of formerly prohibitive graphical plots. Incorporating both of these aspects, CRC Standard Curves and Surfaces with Mathematica®, Second Edition is a virtual encyclopedia of curves and functions that depicts nearly all of the standard mathematical functions rendered using Mathematica.

While the easy-to-use format remains unchanged from the previous edition, many chapters have been reorganized and better graphical representations of numerous curves and surfaces have been produced.
An introductory chapter describes the basic properties of curves and surfaces, includes two handy tables of 2-D and 3-D curve and surface transformations, and provides a quick understanding of the basic nature of mathematical functions. To facilitate more efficient and more thorough use of the material, the whole gamut of curves and surfaces is divided into sixteen individual chapters. The accompanying CD-ROM includes Mathematica notebooks of code to construct plots of all the functions presented in the book.

New to the Second Edition
  • Chapters on minimal surfaces and Green's functions that involve Poisson, wave, diffusion, and Helmholtz equations
  • Knots and links in the 3-D curves chapter
  • Archimedean solids, duals of Platonic solids, and stellated forms in the regular polyhedra chapter
  • Additional curves and surfaces in almost every chapter
  • Expanded index for quick access to curves or surfaces of interest and to find definitions of common mathematical terms
  • Upgraded Mathematica notebooks with more uniform formatting, more complete documentation on particular curves and surfaces, an explanation of the plotting algorithms, and more explicit designations of variable parameters to easily adjust curve or surface plots
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    Contents

    Introduction
    1
    References
    21
    Algebraic Curves
    23
    Transcendental Functions
    113
    and Powers of x
    188
    Polynomial Sets
    227
    Special Functions in Mathematical Physics
    241
    References
    282
    Random Processes
    359
    Polygons
    387
    ThreeDimensional Curves
    403
    Algebraic Surfaces
    429
    Transcendental Surfaces
    467
    Complex Variable Surfaces
    483
    Minimal Surfaces
    505
    Regular and SemiRegular Solids with Edges
    513

    References
    320
    Nondifferentiable and Discontinuous Functions
    345
    Reference
    526
    Copyright

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