Curves and Singularities: A Geometrical Introduction to Singularity Theory
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Book Overview
The differential geometry of curves and surfaces in Euclidean space has fascinated mathematicians since the time of Newton. Here the authors cast the theory into a new light, that of singularity theory. This second edition has been thoroughly revised throughout and includes a multitude of new exercises and examples. A new final chapter has been added which covers recently developed techniques in the classification of functions of several variables, a subject central to many applications of singularity theory. Also in this second edition are new sections on the Morse lemma and the classification of plane curve singularities. The only prerequisites for students to follow this textbook are a familiarity with linear algebra and advanced calculus. Thus it will be invaluable for anyone who would like an introduction to modern singularity theory.
Format:Paperback
Language:English
ISBN:0521429994
ISBN13:9780521429993
Release Date:January 1993
Publisher:Cambridge University Press
Length:340 Pages
Weight:1.10 lbs.
Dimensions:0.8" x 6.0" x 9.0"
Customer Reviews
1 rating
Curves and Singularities is a Fascinating Book
Published by Thriftbooks.com User , 24 years ago
The book "Curves and Singularities" is an excellent introduction to the the use of calculus in studying curves and surfaces. I enjoyed the sections on osculating cirles, degree of contace, envelopes, and jets. There are many exercies and examples to guide the reader.
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