000 02354nam a22004218a 4500
001 CR9781107325418
003 UkCbUP
005 20160624102255.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 130129s1975||||enk s ||1 0|eng|d
020 _a9781107325418 (ebook)
020 _z9780521206815 (paperback)
040 _aUkCbUP
_cUkCbUP
_erda
050 0 0 _aQA614.58
_b.B7613
082 0 0 _a514/.7
_2n/a
100 1 _aBröcker, Theodor,
_eauthor.
245 1 0 _aDifferentiable Germs and Catastrophes /
_cTheodor Bröcker, Translated by L. Lander.
246 3 _aDifferentiable Germs & Catastrophes
260 1 _aCambridge :
_bCambridge University Press,
_c1975.
264 1 _aCambridge :
_bCambridge University Press,
_c1975.
300 _a1 online resource (188 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aLondon Mathematical Society Lecture Note Series ;
_vno. 17
500 _aTitle from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
650 0 _aCatastrophes (Mathematics)
650 0 _aDifferentiable mappings
650 0 _aGerms (Mathematics)
700 1 _aLander, L.,
_etranslator.
776 0 8 _iPrint version:
_z9780521206815
786 _dCambridge
830 0 _aLondon Mathematical Society Lecture Note Series ;
_vno. 17.
856 4 0 _uhttp://dx.doi.org/10.1017/CBO9781107325418
942 _2EBK11966
_cEBK
999 _c41260
_d41260