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CRC Standard Curves and Surfaces with Mathematica (Advances in Applied Mathematics) - Tapa dura

Libro 12 de 38: Advances in Applied Mathematics

Von Seggern, David H.

 
9781584885993: CRC Standard Curves and Surfaces with Mathematica (Advances in Applied Mathematics)
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ISBN 10: 1584885998 ISBN 13: 9781584885993
Editorial: Chapman and Hall/CRC, 2006

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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

    • "Sobre este título" puede pertenecer a otra edición de este libro.

    Editorial
    Chapman and Hall/CRC
    Año de publicación
    2006
    Idioma
    Inglés
    ISBN 10 
    1584885998
    ISBN 13 
    9781584885993
    Encuadernación
    Tapa dura
    Número de edición
    2
    Número de páginas
    556
    Contacto del fabricante
    no disponible
    Persona responsable
    no disponible