Elementary Differential Geometry

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Curves and surfaces made vivid and accessible

This is a great pick if you want differential geometry to feel understandable rather than intimidating. Readers often love how it builds from calculus and linear algebra into beautiful ideas about curves, surfaces, and geodesics with lots of examples and illustrations. It feels like a patient, well-guided introduction that still gives you enough depth to appreciate the elegance of the subject.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.

Elementary Differential Geometry

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per
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ISBN: 9780125267458
Authors: Barrett O'Neill
Publisher: Academic Press
Date of Publication: 1997-06-05
Format: Hardcover
Related Collections: Science
Related Topics: Education, Mathematics, Computers
Goodreads rating: 4.04
(rated by 52 readers)

Description

Written primarily for readers who have completed standard first courses in calculus and linear algebra, Elementary Differential Geometry (Second Edition) provides an introduction to the geometry of curves and surfaces. While the popular First Edition has been extensively modified, this Second Edition maintains the elementary character of that volume, while introducing the use of computers and expanding discussion on certain topics. Emphasis is placed on topological properties, the properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. For readers with access to symbolic computation programs such as Mathematica or Maple, the book includes approximately 30 optional computer exercises. These are not essential to the core text, but rather an extension. No computer skill is necessary to take full advantage of this comprehensive text. It provides detailed examples for all essential ideas, more than 300 exercises, and more than 200 illustrations. It also includes an introduction to using computers and provides answers to computer exercises for both Mathematica and Maple systems.
 

Curves and surfaces made vivid and accessible

This is a great pick if you want differential geometry to feel understandable rather than intimidating. Readers often love how it builds from calculus and linear algebra into beautiful ideas about curves, surfaces, and geodesics with lots of examples and illustrations. It feels like a patient, well-guided introduction that still gives you enough depth to appreciate the elegance of the subject.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.