Elementary Differential Geometry, Revised 2nd Edition - Softcover

O'Neill, Barrett

Softcover

ISBN 10: 1493300024 ISBN 13: 9781493300020

Publisher: Academic Press, 2014

Synopsis

Written primarily for students who have completed the standard first courses in calculus and linear algebra, ELEMENTARY DIFFERENTIAL GEOMETRY, REVISED SECOND EDITION, provides an introduction to the geometry of curves and surfaces. The Second Edition maintained the accessibility of the first, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis was placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. This revision of the Second Edition provides a thorough update of commands for the symbolic computation programs Mathematica or Maple, as well as additional computer exercises. As with the Second Edition, this material supplements the content but no computer skill is necessary to take full advantage of this comprehensive text.

About this title

From the Author

Differences from the first edition
The second edition includes the essential content of the first and maintains its elementary character. Many minor cuts and revisions have simplified and somewhat shortened Chs.1-6. Old Ch.7 was divided in two to accommodate three new topics: Singularities of vector fields and the Poincare-Hopf theorem (5 pages), Covering surfaces (9 pages), Theorems of Bonnet and Hadamard (7 pages). An Appendix on Computers is supplied for users of Mathematica or Maple (14 pages). There are very many new or revised exercises and more than a dozen new figures.

About the Author

Barrett O'Neill is currently a Professor in the Department of Mathematics at the University of California, Los Angeles. He has written two other books in advanced mathematics.

Edition details

• Publisher: Academic Press
• Publication date: 2014
• ISBN 10: 1493300024
• ISBN 13: 9781493300020
• Binding: Paperback
• Language: English
• Number of pages: 520