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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)
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:
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
The first edition has less errors which is a shame since the second edition is richer both in. The clear treatment and it's greater breath. Read morePublished 24 days ago by A Reader
Great introduction, or review for older students reliving their glory days (present company included).Published 4 months ago by Visitor
This book is well written and clear to understand. Although the topic is extremely advanced.
Could use more diagrams but overall not bad to read.
The book is a good intro to some interesting topics in differential geometry but it does not give a clear presentation of the concepts and as a result is very confusing. Read morePublished 21 months ago by Ian
I would not recommend this book for math majors. I used this book for a course in differential geometry which was not intended for math majors (so yes, it is sort of my fault),... Read morePublished on May 30, 2011 by Bryan Urizar
I think this book is a good introduction to differential geometry. The first five chapters are pretty good, after that it starts to go downhill. Read morePublished on March 29, 2011 by broke_symlink