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Differential geometry of curves and surfaces

Author: Thomas Banchoff; Stephen Lovett
Publisher: Natick, Mass. : A.K. Peters, ©2010.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Students and professors of an undergraduate course in the differential geometry will appreciate the clear exposition and comprehensive exercises in this book, that focuses on the geometric properties of curves and surfaces, one-and-two-dimensional objects in Enclidean space. The problems generally relate to questions of local properties (the properties observed as a point on the curve or surface) or global  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Thomas Banchoff; Stephen Lovett
ISBN: 9781568814568 1568814569
OCLC Number: 473119150
Description: xvi, 331 pages : illustrations ; 25 cm
Contents: 1. Plane curves: local properties --
2. Plane curves: global properties --
3. Curves in space: local properties --
4. Curves in space: global properties --
5. Regular surfaces --
6. The first and second fundamental forms --
7. The fundamental equations of surfaces --
8. Curves on surfaces.
Responsibility: Thomas Banchoff, Stephen Lovett.

Abstract:

"Students and professors of an undergraduate course in the differential geometry will appreciate the clear exposition and comprehensive exercises in this book, that focuses on the geometric properties of curves and surfaces, one-and-two-dimensional objects in Enclidean space. The problems generally relate to questions of local properties (the properties observed as a point on the curve or surface) or global properties (the properties of the object as a whole). Some of the more interesting theorems explore relationships between local and global properties." "A special feature is the availability of accompanying online interactive java applets coordinated with each section. The applets allow students to investigate and manipulate curves and surfaces to develop intuition and to help analyze geometric phenomena."--Jacket.

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... a complete guide for the study of classical theory of curves and surfaces and is intended as a textbook for a one-semester course for undergraduates ... The main advantages of the book are the Read more...

 
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