000			01359nam a2200193 4500
008			160616s1975 000 0
020			_a0521206812
041			_aeng
080			_a51 _bBRO
100			_aBrocker, Th.
245			_aDifferentiable Germs and Catastrophes
260			_aCambridge _bCambridge University Press _c1975
300			_avi,179 p.
490			_aLondon mathematical society lecture note series _v17
520			_aThese notes give a fairly elementary introduction to the local theory of differentiable mappings. Sard's Theorem and the Preparation Theorem of Malgrange and Mather are the basic tools and these are proved first. There follows a number of illustrations including: the local part of Whitney's Theorem on mappings of the plane into the plane, quadratic differentials, the Instability Theorem of Thom, one of Mather's theorems on finite determinacy and a glimpse of the theory of Toujeron. The later part of the book develops Mather's theory of unfoldings of singularities. Its application to Catastrophe theory is explained and the Elementary Catastrophes are illustrated by many pictures. The book is suitable as a text for courses to graduates and advanced undergraduates but may also be of interest to mathematical biologists and economists
690			_aMathematics
700			_aLander, L (Translator)
942			_cBK
999			_c2209 _d2209