CRC Standard Curves and Surfaces with Mathematica

by David H. von Seggern

Overview

Since the publication of this book’s bestselling predecessor, Mathematica® has matured considerably and the computing power of desktop computers has increased greatly. The Mathematica® typesetting functionality has also become sufficiently robust that the final copy for this edition could be transformed directly from Mathematica R notebooks to LaTex input.

Incorporating these aspects, CRC Standard Curves and Surfaces with Mathematica®, Third Edition is a virtual encyclopedia of curves and functions that depicts nearly all of the standard mathematical functions and geometrical figures in use today. The overall format of the book is largely unchanged from the previous edition, with function definitions and their illustrations presented closely together.

New to the Third Edition:

• A new chapter on Laplace transforms
• New curves and surfaces in almost every chapter
• Several chapters that have been reorganized
• Better graphical representations for curves and surfaces throughout
• Downloadable resources, including the entire book in a set of interactive CDF (Computable Document Format) files

The book presents a comprehensive collection of nearly 1,000 illustrations of curves and surfaces often used or encountered in mathematics, graphics design, science, and engineering fields. One significant change with this edition is that, instead of presenting a range of realizations for most functions, this edition presents only one curve associated with each function.

The graphic output of the Manipulate function is shown exactly as rendered in Mathematica, with the exact parameters of the curve’s equation shown as part of the graphic display. This enables readers to gauge what a reasonable range of parameters might be while seeing the result of one particular choice of parameters.

Product Details

ISBN-13:	9781315355290
Publisher:	CRC Press
Publication date:	07/12/2017
Series:	Advances in Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	474
File size:	9 MB

About the Author

David H. von Seggern, PhD, worked for Teledyne Geotech from 1967 to 1982 in Alexandria, Virginia, almost exclusively on analysis of seismic data related to underground nuclear explosions. This effort was supported by the Air Force Office of Scientific Research (AFOSR) and by the Defense Advanced Research Projects Agency (DARPA). His research there addressed detection and discrimination of explosions, physics of the explosive source, explosive yield estimation, wave propagation, and application of statistical methods. Dr. von Seggern earned his PhD at Pennsylvania State University in 1982. He followed that with a 10-year position in geophysics research at Phillips Petroleum Company, where he became involved with leading-edge implementation of seismic imaging of oil and gas prospects and with seismic-wave modeling.

Table of Contents

Introduction. Algebraic Functions. Transcendental Functions. Polynomial Sets. Special Functions in Mathematical Physics. Green’s Functions and Harmonic Functions. Special Functions in Probability and Statistics. Laplace Transforms. 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.