Elements of Differential Geometry [FACSIMILE] (Paperback)

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Editorial Reviews

Product Description

Makes a strong effort to bring topics up to an undergraduate level and is easily taught by any math prof. Most simplified of our books in this area.

From the Publisher

Makes a strong effort to bring topics up to an undergraduate level, and easily taught by any math prof. Easiest of our books.

Product Details

• Paperback: 265 pages
• Publisher: Prentice Hall; Facsimile edition (April 8, 1977)
• Language: English
• ISBN-10: 0132641437
• ISBN-13: 978-0132641432
• Product Dimensions: 8.9 x 6 x 0.6 inches
• Shipping Weight: 14.6 ounces (View shipping rates and policies)
• Average Customer Review: 4.4 out of 5 stars  See all reviews (5 customer reviews)
• Amazon.com Sales Rank: #130,610 in Books (See Bestsellers in Books)

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  #10 in	Books > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Differential Geometry
  #11 in	Books > Science > Mathematics > Geometry & Topology > Differential Geometry
  #69 in	Books > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > General Geometry

Customer Reviews

Most Helpful Customer Reviews

10 of 10 people found the following review helpful:

5.0 out of 5 stars A solid introduction, July 20, 2002

By	Dr. Lee D. Carlson (Baltimore, Maryland USA) - See all my reviews (TOP 100 REVIEWER)    (REAL NAME)

It is hard to disagree with the idea that one must pursue the learning of mathematics in way that might be at odds with its axiomatic structure. One can pursue the study of differentiable manifolds without ever looking at a book on classical differential geometry, but it is doubtful that one could appreciate the underlying ideas if such a strategy were taken. Some background in linear algebra, topology, and vector calculus would allow one to understand the abstract definition of a differentiable manifold. However, to push forward the frontiers of the subject, or to apply it, one must have a solid understanding of its underlying intuition.

Thus a study of classical differential geometry is warranted for someone who wants to do original research in the area as well as use it in applications, which are very extensive. Differential geometry is pervasive in physics and engineering, and has made its presence known in areas such as computer graphics and robotics. In this regard, the authors of this book have given students a fine book, and they emphasize right at the beginning that an undergraduate introduction to differential geometry is necessary in today's curriculum, and that such a course can be given for students with a background in calculus and linear algebra. They also do not hesitate to use diagrams, without sacrificing mathematical rigour. Too often books in differential geometry omit the use of diagrams, holding to the opinion that to do so would be a detriment to mathematical rigour. Much is to be gained by the reading and studying of this book, and after finishing it one will be on the right track to begin a study of modern differential geometry.

7 of 7 people found the following review helpful:

5.0 out of 5 stars A Perfect Introduction, February 22, 2001

By	josh kaplan (NU USA) - See all my reviews

A Must !!! After reviewing a few dozen books in the subject, this is without any doubt one of the best. It it written with rare clarity, and gives enough motivation and examples to understand the more abstract and difficult aspects of the field. The book is intended for advanced undergraduate (with good understanding of linear algebra and calculus III) and should be read prior to an abstract course in differential geometry (such as is covered in the books of Warner and Hicks).

9 of 11 people found the following review helpful:

3.0 out of 5 stars Another Differential Geometry Book - So So, December 10, 2000

By	None (Silicon Valley, CA USA) - See all my reviews

This book I also purchased as a resource for studying differential geometry. It's a little bit better than the one by Thorpe, but not by much. The text is dedicated to the 'hard-core' mathematical, and even they would have to have some experience/guidance in this subject. I'm a self-learning type of guy, with an MS in physics. Too many questions arise to justify this book for the self-learner. There are problems, and a FEW examples.