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Elementary Differential Geometry (Springer Undergraduate Mathematics Series) Paperback – March 18, 2010

ISBN-13: 978-1848828902 ISBN-10: 184882890X Edition: 2nd ed. 2012

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Product Details

  • Series: Springer Undergraduate Mathematics Series
  • Paperback: 474 pages
  • Publisher: Springer; 2nd ed. 2012 edition (March 18, 2010)
  • Language: English
  • ISBN-10: 184882890X
  • ISBN-13: 978-1848828902
  • Product Dimensions: 1.2 x 6.2 x 9.2 inches
  • Shipping Weight: 1.4 pounds (View shipping rates and policies)
  • Average Customer Review: 3.9 out of 5 stars  See all reviews (17 customer reviews)
  • Amazon Best Sellers Rank: #287,777 in Books (See Top 100 in Books)

Editorial Reviews


From the reviews of the second edition:

“I am very happy to report that the new edition of Pressley’s Elementary Differential Geometry is an even better book than the first edition … . full solutions to all problems given in an appendix. … Most of the problems are in the book and have solutions in the back. … The upshot is that this is still an excellent book and still my first choice for an undergraduate introduction to differential geometry.” (Fernando Q. Gouvêa, The Mathematical Association of America, May, 2010)

From the Back Cover

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. It is a subject that contains some of the most beautiful and profound results in mathematics yet many of these are accessible to higher-level undergraduates.

Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout.

New features of this revised and expanded second edition include:

  • a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book.
  • Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature.
  • Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com

Praise for the first edition:

"The text is nicely illustrated, the definitions are well-motivated and the proofs are particularly well-written and student-friendly…this book would make an excellent text for an undergraduate course, but could also well be used for a reading course, or simply read for pleasure."

Australian Mathematical Society Gazette

"Excellent figures supplement a good account, sprinkled with illustrative examples."

Times Higher Education Supplement

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