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Differential Geometry Of Curves And Surfaces 3Rd Edition at Meripustak

Differential Geometry Of Curves And Surfaces 3Rd Edition by Thomas F Banchoff and Stephen Lovett, T&F/Crc Press

Books from same Author: Thomas F Banchoff and Stephen Lovett

Books from same Publisher: T&F/Crc Press

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  • General Information  
    Author(s)Thomas F Banchoff and Stephen Lovett
    PublisherT&F/Crc Press
    Edition3rd Edition
    ISBN9781032281094
    Pages368
    BindingHardcover
    LanguageEnglish
    Publish YearAugust 2022

    Description

    T&F/Crc Press Differential Geometry Of Curves And Surfaces 3Rd Edition by Thomas F Banchoff and Stephen Lovett

    Through 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 challenging problems are moved later in exercise sets to assure more graduated progress. The authors also add hints to motivate students grappling with the more difficult exercises.This student-friendly and readable approach offers additional examples, well-placed to assist student comprehension. In the presentation of the Gauss-Bonnet Theorem, the authors provide more intuition and stepping-stones to help students grasp phenomena behind it. Also, the concept of a homeomorphism is new to students even though it is a key theoretical component of the definition of a regular surface. Providing more examples show students how to prove certain functions are homeomorphisms.



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