The Mathematica Journal
Volume 10, Issue 2

Search

In This Issue
Articles
In and Out
Trott's Corner
Beyond Sudoku
New Products
New Publications
Calendar
News Bulletins
New Resources
Classifieds

Download This Issue 

About the Journal
Editorial Policy
Staff and Contributors
Submissions
Subscriptions
Advertising
Back Issues
Contact Information

New Publications

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

Alfred Gray, Elsa Abbena, and Simon Salamon, 2006, Chapman & Hall/CRC, 1016 pp., hardcover

ISBN: 1584884487

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

With over 300 illustrations, 300 miniprograms, and many examples, this textbook explains the classical theory of curves and surfaces, how to define and compute standard geometric functions, and how to apply techniques from analysis. It highlights important theorems and alleviates the drudgery of computations such as the curvature and torsion of a curve in space.

Contents
Curves in the Plane | Famous Plane Curves | Alternative Ways of Plotting Curves | New Curves from Old | Determining a Plane Curve from Its Curvature | Global Properties of Plane Curves | Curves in Space | Construction of Space Curves | Calculus on Euclidean Space | Surfaces in Euclidean Space | Nonorientable Surfaces | Metrics on Surfaces | Shape and Curvature | Ruled Surfaces | Surfaces of Revolution and Constant Curvature | A Selection of Minimal Surfaces | Intrinsic Surface Geometry | Asymptotic Curves and Geodesics on Surfaces | Principal Curves and Umbilic Points | Canal Surfaces and Cyclides of Dupin | The Theory of Surfaces of Constant Negative Curvature | Minimal Surfaces via Complex Variables | Rotation and Animation Using Quaternions | Differentiable Manifolds | Riemannian Manifolds | Abstract Surfaces and Their Geodesics | The Gauss-Bonnet Theorem

This book is available in the Wolfram Research bookstore.


[Previous Page] [Next Page]



     
About Mathematica | Download Mathematica Player 
© Wolfram Media, Inc. All rights reserved.