Differential geometry of curves and surfaces / by Thomas F. Banchoff and Stephen T. Lovett.

Format:

Book

Author/Creator:

Banchoff, Thomas F., 1964- author.

Lovett, Stephen T., author.

Language:

English

Subjects (All):

Geometry, Differential.

Curves on surfaces.

Curves.

Surfaces.

Physical Description:

1 online resource (xvi, 414 pages)

Edition:

Second edition.

Place of Publication:

Boca Raton, FL : Chapman and Hall/CRC, an imprint of Taylor and Francis, 2015.

System Details:

text file

Summary:

Differential Geometry of Curves and Surfaces, Second Edition 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 computer graphics applets supported by sound theory.

Contents:

chapter 1 Plane Curves: Local Properties

chapter 2 Plane Curves: Global Properties

chapter 3 Curves in Space: Local Properties

chapter 4 Curves in Space: Global Properties

chapter 5 Regular Surfaces

chapter 6 The First and Second Fundamental Forms

chapter 7 The Fundamental Equations of Surfaces

chapter 8 The Gauss-Bonnet Theorem and Geometry of Geodesics

chapter 9 Curves and Surfaces in n-dimensional Euclidean Space.

Notes:

"A Chapman & Hall book."

Includes bibliographical references and index.

Description based on print version record.

ISBN:

9780429156229

0429156227

9781482247374

1482247372

OCLC:

958800342