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CRC Standard Curves and Surfaces with Mathematica, Second Edition

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Since the publication of the first edition, Mathematica has matured considerably and the computing power of desktop computers has... Weiterlesen
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Beschreibung

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



Zusammenfassung
Since the publication of the first edition, Mathematica(R) 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(R), 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 EditionChapters on minimal surfaces and Green's functions that involve Poisson, wave, diffusion, and Helmholtz equationsKnots and links in the 3-D curves chapter Archimedean solids, duals of Platonic solids, and stellated forms in the regular polyhedra chapterAdditional curves and surfaces in almost every chapterExpanded index for quick access to curves or surfaces of interest and to find definitions of common mathematical termsUpgraded 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

Inhalt

Introduction. Algebraic Functions. Transcendental Functions. Polynomial Sets. Special Functions in Mathematical Physics. Green's Functions and Harmonic Functions. Special Functions in Probability and Statistics. Nondifferentiable 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. Index.

Produktinformationen

Titel: CRC Standard Curves and Surfaces with Mathematica, Second Edition
Autor:
EAN: 9781420011104
ISBN: 978-1-4200-1110-4
Digitaler Kopierschutz: Adobe-DRM
Format: E-Book (pdf)
Herausgeber: Crc Press
Genre: Grundlagen
Anzahl Seiten: 556
Veröffentlichung: 19.04.2016
Jahr: 2016
Untertitel: Englisch