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MODERN DIFFERENTAIL GEOMETRY of Curves and Surfaces with Mathematica, 2nd Ed. - Picture 1 of 1

Textbooks in Mathematics Ser.: Modern Differential Geometry of Curves and Surfaces with Mathematica by Alfred Gray (1997, Hardcover, Revised edition,New Edition)

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The Second Edition combines a traditional approach with the symbolic manipulation abilities of Mathematica to explain and develop the classical theory of curves and surfaces. You will learn to reproduce and study interesting curves and surfaces - many more than are included in typical texts - using computer methods. By plotting geometric objects and studying the printed result, teachers and students can understand concepts geometrically and see the effect of changes in parameters. Modern Differential Geometry of Curves and Surfaces with Mathematica explains how to define and compute standard geometric functions, for example the curvature of curves, and presents a dialect of Mathematica for constructing new curves and surfaces from old. The book also explores how to apply techniques from analysis. Although the book makes extensive use of Mathematica, readers without access to that program can perform the calculations in the text by hand. While single- and multi-variable calculus, some linear algebra, and a few concepts of point set topology are needed to understand the theory, no computer or Mathematica skills are required to understand the concepts presented in the text. In fact, it serves as an excellent introduction to Mathematica, and includes fully documented programs written for use with Mathematica. Ideal for both classroom use and self-study, Modern Differential Geometry of Curves and Surfaces with Mathematica has been tested extensively in the classroom and used in professional short courses throughout the world.

Product Identifiers

Publisher
CRC Press LLC
ISBN-10
0849371643
ISBN-13
9780849371646
eBay Product ID (ePID)
735050

Product Key Features

Author
Alfred Gray
Publication Name
Modern Differential Geometry of Curves and Surfaces with Mathematica
Format
Hardcover
Language
English
Publication Year
1997
Series
Textbooks in Mathematics Ser.
Type
Textbook
Number of Pages
1088 Pages

Dimensions

Item Length
1in
Item Height
2.5in
Item Width
0.7in
Item Weight
74.6 Oz

Additional Product Features

Lc Classification Number
Qa641.G72 1998
Edition Description
Revised Edition,New Edition
Edition Number
2
Table of Content
Curves in the Plane Studying Curves in the Plane with Mathematica Famous Plane Curves Alternate Methods for Plotting Plane Curves New Curves from Old Determining a Plane Curve from Its Curvature Global Properties of Plane Curves Curves in Space Tubes and Knots Construction of Space Curves Calculus on Euclidean Space Surfaces in Euclidean Space Examples of Surfaces Nonorientable Surfaces Metrics on Surfaces Surfaces in 3-Dimensional Space Surfaces in 3-Dimensional Space via Mathematica Asymptotic Curves on Surfaces Ruled Surfaces Surfaces of Revolution Surfaces of Constant Gaussian Curvature Intrinsic Surface Geometry Differentiable Manifolds Riemannian Manifolds Abstract Surfaces Geodesics on Surfaces The Gauss-Bonnet Theorem Principal Curves and Umbilic Points Triply Orthogonal Systems of Surfaces Minimal Surfaces Minimal Surfaces and Complex Variables Minimal Surfaces via the Weierstrass Representation Minimal Surfaces via Bjorling's Formula Construction of Surfaces Canal Surfaces and Cyclides of Dupin Inversions of Curves and Surfaces Appendices General Programs Curves Surfaces Plotting Programs Bibliography Index Name Index Miniprogram and Mathematica Command Index
Copyright Date
1997
Topic
Geometry / Differential, Mathematical & Statistical Software, Geometry / General, Number Theory, Applied, Discrete Mathematics
Lccn
97-017161
Dewey Decimal
516.3/6
Intended Audience
College Audience
Dewey Edition
21
Illustrated
Yes
Genre
Computers, Mathematics

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Picture 1 of 1

Textbooks in Mathematics Ser.: Modern Differential Geometry of Curves and Surfaces with Mathematica by Alfred Gray (1997, Hardcover, Revised edition,New Edition)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

All listings for this product

item 1 Modern Differential Geometry of Curves and Surfaces with Mathematica, Second...

item 2 MODERN DIFFERENTAIL GEOMETRY of Curves and Surfaces with Mathematica, 2nd Ed.

item 3 Modern Differential Geometry of Curves and Surfaces with Mathematica, Second Ed,

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