CRC Standard Curves and Surfaces [mathematical] by David H. von Seggern

By David H. von Seggern

Since the book of this book’s bestselling predecessor, Mathematica® has matured significantly and the computing energy of laptop pcs has elevated significantly. The Mathematica® typesetting performance has additionally develop into sufficiently powerful that the ultimate reproduction for this version might be reworked at once from Mathematica R notebooks to LaTex input.

Incorporating those points, CRC normal Curves and Surfaces with Mathematica®, 3rd Edition is a digital encyclopedia of curves and capabilities that depicts the vast majority of the traditional mathematical capabilities and geometrical figures in use at the present time. the final structure of the e-book is basically unchanged from the former variation, with functionality definitions and their illustrations provided heavily together.

New to the 3rd Edition:

  • A new bankruptcy on Laplace transforms
  • New curves and surfaces in virtually each chapter
  • Several chapters which were reorganized
  • Better graphical representations for curves and surfaces throughout
  • A CD-ROM, together with the total ebook in a collection of interactive CDF (Computable record layout) files

The booklet provides a complete selection of approximately 1,000 illustrations of curves and surfaces frequently used or encountered in arithmetic, pics layout, technology, and engineering fields. One major switch with this variation is that, rather than featuring a variety of realizations for many capabilities, this variation offers just one curve linked to every one functionality.

The photograph output of the control functionality is proven precisely as rendered in Mathematica, with the precise parameters of the curve’s equation proven as a part of the image show. this permits readers to gauge what an inexpensive variety of parameters may be whereas seeing the results of one specific collection of parameters.

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Additional resources for CRC Standard Curves and Surfaces [mathematical]

Example text

2, c = 2. 5, c = 3.

An algebraic curve is one whose implicit function f( x, y) = 0 is a polynomial in x and y (after rationalization, if necessary). Because a curve is often defined in the explicit form y = f( x) there is a need to distinguish rational and irrational functions of x. A rational function of x is a quotient of two polynomials in x, both having only integer powers. An irrational function of x is a quotient of two polynomials, one or both of which has a term (or terms) with power p/q, where p and q are integers.

For example, y 2 - X = 0 has two ranges in y, one positive and one negative, while the 23 explicit form derived from solving the above equation gives y = Xl/2, for which the range of y is positive only; in such cases both the positive and the negative range of yare plotted. REFERENCES 1. Buck, R. , Advanced Calculus, McGraw-Hill, New York, 1965, Chap. 5. 2. , and I. Stewart, Catastrophe Theory and Its Applications, Pitman, New York, 1978. 3. , and I. A. , 1964. 4. Mandelbrot, B. , The Fractal Geometry of Nature, W.

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