CRC Standard Curves and Surfaces with Mathematica

2nd Edition

David H. von Seggern

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Chapman and Hall/CRC
Published April 19, 2016
Reference - 556 Pages - 938 B/W Illustrations
ISBN 9781420011104 - CAT# CE5998
Series: Advances in Applied Mathematics

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Features

  • Presents a comprehensive collection of nearly 1,000 illustrations of curves and surfaces often used or encountered in mathematics, science, and engineering fields
  • Provides a unique arrangement of function definitions on left-hand pages and corresponding function plots on right-hand pages
  • Illustrates variation caused by changes in parameters using multiple curve and surface plots
  • Includes a CD-ROM with Mathematica code to construct and modify plots of all the functions in the book
  • Summary

    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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