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Differential Geometry of Curves and Surfaces: Second Edition

Name: Differential Geometry of Curves and Surfaces: Second Edition
ISBN: 9781482247343

Thomas F. Banchoff, Stephen Lovett

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Main subject categories: • Differential geometry • Analysis on manifolds • Fundamental equations of surfaces • Curves in n-dimensional space • Surfaces in n-dimensional space

Differential Geometry of Curves and Surfaces, Second Edition takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces. Requiring only multivariable calculus and linear algebra, it develops students' geometric intuition through interactive computer graphics applets supported by sound theory. The book explains the reasons for various definitions while the interactive applets offer motivation for certain definitions, allow students to explore examples further, and give a visual explanation of complicated theorems. The ability to change parametric curves and parametrized surfaces in an applet lets students probe the concepts far beyond what static text permits. -- Provided by publisher.

類別:

Mathematics - Geometry and Topology

年:

2016

版本:

出版商:

CRC Press / Chapman and Hall; Taylor & Francis Group, LLC

語言:

english

頁數:

426

ISBN 10: