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Differential Geometry of Curves and Surfaces: Third Edition by Banchoff, Thomas F., Lovett, Stephen is a nonfiction available to read on EtoBox.

What is Differential Geometry of Curves and Surfaces: Third Edition about?

Main subject categories: • Differential geometry • Analysis on manifolds • Fundamental equations of surfaces • Curves in n-dimensional space • Surfaces in n-dimensional spaceThrough two previous editions, the third edition of this popular and intriguing text 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 graphics applets. Applets are presented in Maple workbook format, which readers can access using the free Maple Player.The book explains the reasons for various definitions while the interactive applets offer motivation for definitions, allowing 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. Investigative project ideas promote student research.At users of the previous editions' request, this third edition offers a broader list of exercises. More elementary exercises are added and some

Who reads Differential Geometry of Curves and Surfaces: Third Edition?

Author

Banchoff, Thomas F., Lovett, Stephen

Publisher

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

Published

2022

Language

EN

ISBN

9781032919980

Category

nonfiction

Subjects

Mathematics, Engineering, Geometry And Topology

Updated

2026-03-24