CCR Standard Curves and Surfaces with Mathematica

David H. Von Seggern - Collection Applied Mathematics & Nonlinear Science

584 pages, parution le 20/10/2006 (2^eme édition)

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Résumé

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

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

Sommaire

Introduction
Algebraic functions
Transcendental functions
Polynomial sets
Special functions in mathematical physics
Green's functions and harmonic functions
Special functions in probability and statistics
Nondifferentialbe and discontinuous functions
Random processes
Polygons
Three-dimensional curves
Algebraic surfaces
Transcendental surfaces
Complex variable surfaces
Minimal surfaces
Regular and semi-regular solids with edges
Irregular and miscellaneous solids

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	PAPIER
Éditeur(s)	Chapman and Hall / CRC
Auteur(s)	David H. Von Seggern
Collection	Applied Mathematics & Nonlinear Science
Parution	20/10/2006
Édition	2^eme édition
Nb. de pages	584
Format	18 x 26
Couverture	Relié
Poids	1145g
Intérieur	Noir et Blanc
EAN13	9781584885993
ISBN13	978-1-58488-599-3