CRC standard curves and surfaces with Mathematica[R]
著者
書誌事項
CRC standard curves and surfaces with Mathematica[R]
（Advances in applied mathematics / series editor, Daniel Zwillinger）
CRC Press, c2016
3rd ed
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CRC standard curves and surfaces with Mathematica
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Since the publication of this book's bestselling predecessor, Mathematica (R) has matured considerably and the computing power of desktop computers has increased greatly. The Mathematica (R) 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 (R), 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.
目次
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.
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