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CRC Standard Curves and Surfaces with Mathematica: Advances in Applied Mathematics

Autor David H. von Seggern
en Limba Engleză Hardback – 25 mai 2016
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.

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Specificații

ISBN-13: 9781482250213
ISBN-10: 1482250217
Pagini: 474
Ilustrații: 695
Dimensiuni: 178 x 254 x 34 mm
Greutate: 1.04 kg
Ediția:Revised
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Advances in Applied Mathematics


Cuprins

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.

Notă biografică

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.

Descriere

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. Presenting a new chapter on Laplace transforms, this edition introduces new curves and surfaces in almost every chapter and contains several chapters that have been reorganized. It also provides better graphical representations for many curves and surfaces throughout. 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.