Flip to back Flip to front
Listen Playing... Paused   You're listening to a sample of the Audible audio edition.
Learn more
See this image
Sell yours for a Gift Card
We'll buy it for $21.78
Learn More
Trade in now
Have one to sell? Sell on Amazon

Elements of Differential Geometry Paperback – April 8, 1977

ISBN-13: 978-0132641432 ISBN-10: 0132641437 Edition: 1st
Buy used
Buy new
Used & new from other sellers Delivery options vary per offer
54 used & new from $41.99
Rent from Amazon Price New from Used from
"Please retry"
Paperback, April 8, 1977
"Please retry"
$88.56 $41.99
Free Two-Day Shipping for College Students with Amazon Student Free%20Two-Day%20Shipping%20for%20College%20Students%20with%20Amazon%20Student

Hero Quick Promo
Save up to 90% on Textbooks
Rent textbooks, buy textbooks, or get up to 80% back when you sell us your books. Shop Now
$93.57 FREE Shipping. Only 6 left in stock (more on the way). Ships from and sold by Amazon.com. Gift-wrap available.

Frequently Bought Together

Elements of Differential Geometry + Algebraic Topology
Price for both: $138.74

Buy the selected items together

Editorial Reviews

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.

Best Books of the Month
Best Books of the Month
Want to know our Editors' picks for the best books of the month? Browse Best Books of the Month, featuring our favorite new books in more than a dozen categories.

Product Details

  • Paperback: 265 pages
  • Publisher: Pearson; 1st edition (April 8, 1977)
  • Language: English
  • ISBN-10: 0132641437
  • ISBN-13: 978-0132641432
  • Product Dimensions: 5.9 x 0.6 x 8.9 inches
  • Shipping Weight: 13.6 ounces (View shipping rates and policies)
  • Average Customer Review: 4.3 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #962,314 in Books (See Top 100 in Books)

More About the Authors

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

4.3 out of 5 stars
Share your thoughts with other customers

Most Helpful Customer Reviews

17 of 19 people found the following review helpful By Dr. Lee D. Carlson HALL OF FAMEVINE VOICE on July 20, 2002
Format: Paperback
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.
1 Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
10 of 11 people found the following review helpful By U of M Math Student on November 20, 2011
Format: Paperback Verified Purchase
Differential Geometry is one of the toughest subjects to break into for several reasons. There is a huge jump in the level of abstraction from basic analysis and algebra courses, and the notation is formidable to say the least. An ill-prepared student can begin reading Spivak Volume I or Warner's book and get very little out of it. This is, in fact, what happened to me. Only at the advice of a professor did I take an undergraduate diff. geometry course which used this book, and am I glad that I did.

In short, here is a book which takes the key aspects of classical and modern differential geometry, and teaches them in the concrete setting of R^3. This has several advantages:

(1) The student isn't lost in the abstraction immediately. When I took my first diff. geometry course, we spent the entire time taking derivatives in n-dimensional projective space and other equally abstract spaces. This book keeps it concrete, and supplements each idea with several worked out examples to help ground the student's intuition.

(2) The book uses modern techniques when applicable. Just because this book teaches the material in a concrete/classical setting does not mean that its methods are outdated. The student will become very used to modern techniques, but applied here in easier settings than what you would find in a standard graduate leveled book. Hence, when the student eventually takes graduate leveled courses, he or she will come to see the definitions and techniques as natural extensions of those learned previously.

(3) The student learns the classical theory first, which entirely motivates the modern theory.
Read more ›
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
7 of 8 people found the following review helpful By math monkey on September 29, 2005
Format: Paperback
There are many differential geometry books out there. Some are very rigorous others not. This book walks the road in the middle. Intuition is developed in the first few chapters by discussing familiar surfaces in R^n, and then a discussion on more abstract manifolds follow.

The book requires some very basic knowledge of linear algebra and some multivariate calculus knowledge. So basically every undergrad in the sciences should find this book easy to understand, and a good introduction to differential geometry.
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again

Set up an Amazon Giveaway

Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. Learn more
Elements of Differential Geometry
This item: Elements of Differential Geometry
Price: $93.57
Ships from and sold by Amazon.com