Elementary Differential Geometry

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9780125267458: Elementary Differential Geometry

Written primarily for readers who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Second Edition provides an introduction to the geometry of curves and surfaces. Although the popular First Edition has been extensively modified, this Second Edition maintains the elementary character of that volume, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis has been placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. For readers with access to the symbolic computation programs, Mathematica or Maple, the book includes approximately 30 optional computer exercises. These are not intended as an essential part of the book, but rather an extension. No computer skill is necessary to take full advantage of this comprehensive text.

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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.

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Barrett O'Neill
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Book Description Academic Press, 1997. Hardcover. Book Condition: New. Second Edition. This specific hardback book is in new condition with a hard board cover that has sharp edges and corners and has a tight binding. The pages are clean, crisp, unmarked and uncreased . We package all books in custom cardboard book boxes for shipment and ship daily with tracking numbers.; "Written primarily for readers who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Second Edition provides an introduction to the geometry of curves and surfaces. Although the popular First Edition has been extensively modified, this Second Edition maintains the elementary character of that volume, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis has been placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. For readers with access to the symbolic computation programs, Mathematica or Maple, the book includes approximately 30 optional computer exercises. These are not intended as an essential part of the book, but rather an extension. No computer skill is necessary to take full advantage of this comprehensive text. * Gives detailed examples for all essential ideas. * Provides more than 300 exercises. * Features more than 200 illustrations. * Includes an introduction to using computers, and supplies answers to computer exercises given for both Mathematica and Maple systems."; 9.06 X 6.22 X 1.10 inches; 482 pages. Bookseller Inventory # 8237

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