Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition

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Taylor & Francis, 21/06/2006 - 1016 páginas
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Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions.

The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted.

Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space.

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JSTOR: Modern Differential Geometry of Curves and Surfaces with ...
Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd edi- tion. By Alfred Gray. CRC Press, Boca Raton, FL, 1998. $84.95. xxiv+1053 pp., ...
links.jstor.org/ sici?sici=0036-1445(199903)41%3A1%3C186%3AMDGOCA%3E2.0.CO%3B2-8

Modern Differential Geometry of Curves and Surfaces with ...
Modern Differential Geometry of Curves and Surfaces with Mathematica, Third Edition. Alfred Gray, Elsa Abbena, and Simon Salamon, 2006, Chapman & Hall/CRC, ...
www.mathematica-journal.com/ issue/ v10i2/ newpublications/ ISBN1584884487.html

Modern Differential Geometry of Curves and Surfaces with ...
Modern Differential Geometry of Curves and Surfaces with Mathematica, ... Modern Differential Geometry of Curves and Surfaces with Mathematica, ...
library.wolfram.com/ infocenter/ Books/ 3759/

Submarino.com.br Importados: Modern Differential Geometry of ...
Modern Differential Geometry of Curves And Surfaces With Mathematica Cód. do Produto: 1251552 Gray, Alfred Gray, Alfred/ Salamon, Simon/ Abbena, Elsa ...
lojaabril.com.br/ imports_productdetails.asp?Query=& ProdTypeId=9& CatId=31560& PrevCatId=31557& ProdId=1251552& ST=BL3156...

Modern Differential Geometry of Curves and Surfaces with ...
Ideal for both classroom use and self-study, Modern Differential Geometry of Curves and Surfaces with Mathematica has been tested extensively in the ...
portal.acm.org/ citation.cfm?id=524240

NCSU Libraries - Modern differential geometry of curves and ...
Title: Modern differential geometry of curves and surfaces with Mathematica. Published: Boca Raton, FL : Chapman & Hall CRC, 2006. Edition: 3rd ed. ...
catalog.lib.ncsu.edu/ web2/ tramp2.exe/ do_ccl_search/ guest?setting_key=files& record_screen=record_brief.html& *search_b...

Modern differential geometry of curves and surfaces with ...
Modern differential geometry of curves and surfaces with Mathematica. 3rd ed. Boca Raton, FL: Chapman & Hall CRC, 2006. 984 p.
volterra.impa.br/ arquivos/ 30000/ 31500/ 105_31565.htm

Differential Geometry References
Gray, Alfred, Elsa Abbena, and Simon Salamon, Modern Differential Geometry of Curves and Surfaces with Mathematica (3e), CRC Press, 2006 (1e, 1993; 2e, ...
www.math.wayne.edu/ ~drucker/ diffgeomrefsF07.html

diff geo images page
Modern Differential Geometry of Curves and Surfaces with Mathematica (Second Edition). by Alfred Gray. Click here for additional materials of Gray related ...
www.math.uiowa.edu/ ~wseaman/ DGImage53100.htm

differential geometry :: Visualizing curves and surfaces ...
Alfred Gray, Modern Differential Geometry of Curves and Surfaces with Mathematica, 2nd ed. (1998), allows exploration of the subject through ...
www.britannica.com/ eb/ article-235559/ differential-geometry

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