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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.
* 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
* 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
482 pages, Hardcover
First published June 1, 1966
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Displaying 1 - 4 of 4 reviews
January 27, 2019
While studying my PhD, a course in differential geometry (with attached qualifier) was required. This book saved my ass. Start here, then delve into the graduate level stuff.
December 31, 2018
boring and dry
August 3, 2026
This was the textbook for Net Math 423 in UIUC, so I spent plenty of time reading it & solving its problems. Prerequisites for the book were Linear Algebra & Multi-variable calculus, but some proof writing experience would have been very helpful.
I took the course after 13 years of break from university, and I was a CS major back then. So, I had to put lots of energy to work through the course. In the end, it worked well.
I took the course after 13 years of break from university, and I was a CS major back then. So, I had to put lots of energy to work through the course. In the end, it worked well.
Displaying 1 - 4 of 4 reviews