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Elementary Differential Geometry | 
 enlarge | Author: A.n. Pressley
Publisher: Springer
Category: Book
List Price: $44.95
Buy New: $32.99
You Save: $11.96 (27%)
New (19) Used (5) from $30.78
Rating:  7 reviews
Sales Rank: 122085
Media: Paperback
Edition: Corrected
Pages: 332
Number Of Items: 1
Shipping Weight (lbs): 1.3
Dimensions (in): 9.1 x 6.7 x 0.7
ISBN: 1852331526
Dewey Decimal Number: 516.36
EAN: 9781852331528
Publication Date: September 18, 2002
Availability: Usually ships in 1-2 business days
Shipping: International shipping available
Condition: Brand New. Delivery is usually 5 - 8 working days from order, International is by Royal Mail Airmail
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Product Description
Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions, and with trying to answer them using calculus techniques. It is a subject that contains some of the most beautiful and profound results in mathematics, yet many of them are accessible to higher level undergraduates.
Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces while keeping the prerequisites to an absolute minimum. Nothing more than first courses in linear algebra and multivariate calculus are required, and the most direct and straightforward approach is used at all times. Numerous diagrams illustrate both the ideas in the text and the examples of curves and surfaces discussed there. The second edition has extra exercises with solutions available to lecturers online. There is additional material on Map Colouring, Holonomy and geodesic curvature and various additions to existing sections.
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| Customer Reviews: Read 2 more reviews...
 Written to teach rather than to impress January 18, 2008
Thomas Meyer (Storrs, Connecticut)
I have purchased hundreds of technical books and really treasure the ones that seem to have been written in order to really convey the material rather than impress the reader with how smart the author is. This is such a book. The material is remarkably clear and the author's style strikes me as a notable example of the mathematical writing styles put forth in the articles comprising the text "How to Write Mathematics." For example, the material proceeds in a logical chain such that the reader is never confronted with a term or concept before it has been explained. The notation is defined meticulously and repeatedly so the reader is not forced to continually refer backwards through the text to remember the meaning of the symbols. This also is a boon for "grasshopper readers" who will use the text as a reference, as opposed to a linear reader. Symbols don't change meaning, are not overloaded, and seem to have been chosen for intuitive appeal. For example, a lower-case gamma denotes a parametric function for a curve and, to me, the shape of the gamma suggests the sorts of curves being discussed. In my experience, this book is best in class.
Definately a good begineers book April 23, 2008
D. Pai (USA)
If you want a very general introduction of Differential Geometry, this is the book to start. Very nicely written text. Understandable examples. Broad coverage of materials . Explains space curves and surface properties with amazing quality. Recommended as a beginners level introduction
A quick introduction to differential geometry October 26, 2001
43 out of 44 found this review helpful
Pressley's gives you a very comprehensible and down to earth introduction to differential geometry.
By avoiding the more modern and abstract generalizations of differential geometry to more than three dimensions you really feel that you grasp what the theorems and methods are about. In this way you are able to work your way quickly through the book and avoid getting stuck and loosing interest. Another plus is that the book contains lots of examples and fully worked answers to all exercises, which makes it perfect for self-study.
The downside is that the book is not as exhuastive as you perhaps would like, when you have looked at books like O'Neills and DoCarmos ... on the other hand, you only need to spend a fraction of the time to get through Pressleys.
I definitely think that this is a much better book that Struiks classical work (by being more structured and goal oriented) and an excellent introduction to further studies in differential and Riemann geometry.
An enjoyable text on the subject! October 19, 2007
anonymous
5 out of 5 found this review helpful
I've been looking for a decent book on differential geometry for years now. Most of the good ones are fairly pricey, or require the reader to have a deep knowledge of mathematics. This fits in neither category. You only need multi variable calculus, linear algebra, and some experience with reading/writing proofs. This book will also appeal to those who want to learn on their own, as every problem has a hint/solution in the back.
Very appropriate for self-study February 26, 2008
Boniface (Bogota, CO.)
It's a very good book overall, especially if you like to spend more time reading on your own than in a classroom.
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