CRC Standard Curves and Surfaces [mathematical] - download pdf or read online

By David H. von Seggern

ISBN-10: 0849301963

ISBN-13: 9780849301964

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

Incorporating those features, CRC usual Curves and Surfaces with Mathematica®, 3rd Edition is a digital encyclopedia of curves and services that depicts the majority of the traditional mathematical services and geometrical figures in use this present day. the final layout of the ebook is basically unchanged from the former variation, with functionality definitions and their illustrations awarded heavily together.

New to the 3rd Edition:

  • A new bankruptcy on Laplace transforms
  • New curves and surfaces in nearly each chapter
  • Several chapters which have been reorganized
  • Better graphical representations for curves and surfaces throughout
  • A CD-ROM, together with the whole booklet in a collection of interactive CDF (Computable rfile structure) files

The booklet offers a accomplished selection of approximately 1,000 illustrations of curves and surfaces usually used or encountered in arithmetic, photos layout, technological know-how, and engineering fields. One major switch with this version is that, rather than featuring a number realizations for many features, this variation provides just one curve linked to every one functionality.

The photo output of the manage functionality is proven precisely as rendered in Mathematica, with the precise parameters of the curve’s equation proven as a part of the image demonstrate. this allows readers to gauge what a cheap diversity of parameters should be whereas seeing the results of one specific number of parameters.

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Additional resources for CRC Standard Curves and Surfaces [mathematical]

Example text

01, n = 1, m = 4 2. 01, n = 1, m = 2 3. 01, n = 3, m = 4 4. 01, n = 5, m = 4 5. 01, n = 3, m = 2 6. 01, n = 7, m = 4 7. 01, n = 1, m = 3 8. 01, n = 2, m = 3 9. 01, n = 4, m = 3 10. 2. 1. 1. 2. 3. 2. 1. 2. 3. 3. y = c(a + bX)3 y - b 3cX 3 - 3ab 2cx 2 - 3a 2bcx -a 3 c 1. 2. 3. 4. 1. 2. 3. 5. y = cx(a + bX)2 1. 0 2. 0 3. 6. y 1. 2. 3. 7. Y 1. 2. 3. 8. Y = cx 2(a 1. 2. 3. 9. Y = cx 2(a y - b 3cX 5 + bx? -a 3 cx 2 1. 2. 3. 10. Y = cx 3(a + bx) 1. 0 2. 0 3. 11. Y = cx 3(a + bX)2 1. 0 2. 0 3. 12. y = cx3(a 1.

1 2. 1 3. 21. Y = ex 2/(a + bX)3 a 3y + 3a 2bxy + 3ab 2x 2y + b 3x 3y -ex 2 1. 2. 3. 22. Y = ex 3/(a + bx) 1. 0 2. 0 3. 23. y = ex 3/(a + bx)2 1. 2 2. 2 3. 2 a 3y + 3a 2bxy + 3ab 2x 2y + b 3x 3y -ex 3 1. 2. 3. 25. y = e(a + bx)jx 1. 04 2. 04 3. 26. y = e(a + bX)2 jx 1. 04 2. 04 3. 27. y = e(a + bx)3 jx xy - b 3ex 3 - 3ab 2ex 2 - 3a 2bex - a 3e =0 1. 2. 3. 28. y = e(a + bx)jx 2 1. 04 2. 04 3. 29. y = e(a + bX)2jx 2 1. 01 2. 01 3. 30. y = e(a 1. 2. 3. 31. y = c(a + bx)/x 3 1. 02 2. 02 3. 32. y = c(a + bX)2/X 3 1.

Note that if y < and a = 2, 4, 6, ... , then the scaled curve will flip to the opposite side of the x axis. Similar scalings can be made in three dimensions using any of the appropriate coordinate systems. 9. Shear A curve undergoes simple shear when either all its x coordinates or all its y coordinates remain constant while the other set is increased in proportion to x or y, respectively. The general transformations for simple shearing of a two-dimensional curve are + ay x' = x y' = bx +y The transformations for simple x shear are x' = x y' = y + ay 20 CRC Standard Curves and Surfaces and for simple y shear are X' =x y' = y + bx Surfaces may be simply sheared along one or two axes with similar transformations.

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


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