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.

This second edition is an invaluable textbook for anyone who would like an introduction to the modern theories of catastrophies and singularities.
Reviews
"This delightfully written book overflows with beautiful mathematics, requiring only linear algebra, multi-variable calculus, and a little mathematical sophistication." The American Mathematical Monthly



Book Information
ISBN 9780521429993
Author J. W. Bruce
Format Paperback
Page Count 340
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 545g
Dimensions(mm) 229mm * 153mm * 20mm