- Paperback: 250 pages
- Publisher: Prentice Hall; 1 edition (July 24, 1997)
- Language: English
- ISBN-10: 0135699630
- ISBN-13: 978-0135699638
- Product Dimensions: 6 x 0.6 x 9 inches
- Shipping Weight: 1.1 pounds (View shipping rates and policies)
- Average Customer Review: 4.5 out of 5 stars See all reviews (3 customer reviews)
- Amazon Best Sellers Rank: #2,510,910 in Books (See Top 100 in Books)
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Differential Geometry: A Geometric Introduction 1st Edition
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From the Back Cover
The only book that introduces differential geometry through a combination of an intuitive geometric foundation, a rigorous connection with the standard formalisms, computer exercises with Maple, and a problems-based approach. Starting with basic geometric ideas, Differential Geometry uses basic intuitive geometry as a starting point to make the material more accessible and the formalism more meaningful. The book presents topics through problems to provide readers with a deeper understanding. And, it introduces hyperbolic geometry in the first chapter rather than in a closing chapter as in other books. An important reference and resource book for any reader who needs to understand the foundations of differential geometry.
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Top Customer Reviews
To a limited degree, the book is a success. The first chapter flows rather smoothly, and could actually be used to introduce differential geometry in an advanced high school classroom. I would consider that in and over itself to be a truimph! In places, it's fun to read, and some of the "constructions" (often using three dimensions) are both clever and helpful. And I must confess that reading this book I picked up bits and pieces of intuition that I had missed when reading other texts.
For all of these reasons, I found myself really wanting to like this book; sadly, I ultimately found that I could not. Unfortunately, the intuitive approach starts to break down as the book proceeds. In the later chapters, I could only intuitively grasp and fully understand what Henderson was trying to explain because of previous familiarity with the material; I would have pretty baffled without prior knowledge of the subject. The writing and presentation just does not compare with that in some of the better (if more traditional) texts in differential geometry, such as Manfredo P. Do Carmo's Differtial Geometry of Curves and Surfaces or Michael Spivak's excellent five-volume Comprehensive Introduction to Differential Geometry. If one is familiar with those (or other similar) texts, it might be fun to take a look at Henderson's book. If not, look there first - or at least look there as well - in your explorations of this field of mathematics.