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Curves and surfaces

Author: Marco Abate; Francesca Tovena
Publisher: Milano : Springer, ©2012.
Series: Unitext, 55.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then present the classical local theory of parametrized plane and space curves (curves in n-dimensional space are discussed in the complementary material): curvature,  Read more...
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Details

Genre/Form: Electronic books
Textbooks
Additional Physical Format: Print version:
Abate, Marco, 1962-
Curves and surfaces.
Milano : Springer, c2012
(OCoLC)733249569
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Marco Abate; Francesca Tovena
ISBN: 9788847019416 8847019419
OCLC Number: 795331264
Description: 1 online resource (xiii, 390 p.) : ill.
Contents: Local theory of curves --
Global theory of plane curves --
Local theory of surfaces --
Curvatures --
Geodesics --
The Gauss-Bonnet theorem --
Global theory of surfaces.
Series Title: Unitext, 55.
Other Titles: Curve e superfici.
Responsibility: Marco Abate, Francesca Tovena ; [translated by Daniele A. Gewurz].

Abstract:

This book introduces the Differential Geometry of Curves and Surfaces, proceeding from core to classical local and global theory of curves and of surfaces. Includes numerous definitions, examples,  Read more...
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From the reviews: "The authors' goal in writing this book is to present the theory of curves and surfaces from the viewpoint of contemporary mathematics. ... New concepts and new definitions are Read more...

 
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