By J. W. Bruce
The differential geometry of curves and surfaces in Euclidean area has involved mathematicians because the time of Newton. right here the authors take a singular method via casting the idea right into a new gentle, that of singularity concept. the second one variation of this winning textbook has been completely revised all through and incorporates a multitude of latest routines and examples. a brand new ultimate bankruptcy has been further that covers lately built thoughts within the type of capabilities of a number of variables, a subject matter primary to many functions of singularity thought. additionally during this moment variation are new sections at the Morse lemma and the type of airplane curve singularities. the one must haves for college students to persist with this textbook are a familiarity with linear algebra and complicated calculus. hence it is going to be valuable for someone who would favor an creation to the fashionable theories of catastrophes and singularities.