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Other titles in the Chapman & Hall/CRC Applied Mathematics and Nonlinear Science series:
CRC Standard Curves and Surfaces with Mathematica, Second Edition (Chapman & Hall/CRC Applied Mathematics and Nonlinear Science)by David H. Von Seggern
Synopses & Reviews
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
Book News Annotation:
Von Seggern (seismological studies, U. of Nevada) presents this updated reference containing the written functions for thousands of curves and surfaces, along with their presentations using Mathematica software. Chapter one reviews coordinate systems; methods of presentation; and the qualitative properties, classification, and basic operation of curves and surfaces. The remaining chapters are each devoted to a class of curve or surface, providing the functions on the left page and their corresponding illustrations on the right. Classes covered include: algebraic and three-dimensional curves, special functions in mathematical physics, Green's functions (new to this edition), complex variable surfaces, and irregular and miscellaneous solids. A CD-ROM containing Mathematica notebooks is included. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)
With almost 1,000 illustrations of curves and surfaces, this comprehensive collection depicts nearly all of the standard mathematical functions rendered using the software program Mathematica. While the easy-to-use format remains unchanged from the previous edition, many chapters have been reorganized or added, such as Green's functions and minimal surfaces, and better graphical representations of numerous curves and surfaces have been produced. Additional new material includes knots, links, Archimedean solids, duals of Platonic solids, and stellated forms. On an accompanying CD-ROM, upgraded Mathematica notebooks of code can be used to construct and modify plots of all the functions presented in the book.
A virtual encyclopedia of curves and functions, CRC Standard Curves and Surfaces with Mathematica depicts nearly all of the standard mathematical functions rendered using the software package Mathematica. Along with additional examples, historical notes, and citations, this expanded second edition features four new chapters: Green's Functions, Regular Surfaces, Irregular and Miscellaneous Surfaces, and Minimal Surfaces. It also updates the Mathematica code, called notebooks, to the latest version (5.0), which allows much more detailed illustrations, and makes these notebooks available on an enclosed CD-ROM, usable on any platform, so that readers can easily render and manipulate the functions presented in the book.
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