000			01943nam a2200301Ia 4500
003			OSt
005			20260108121756.0
008			220909b |||||||| |||| 00| 0 eng d
020			_a9780817683399
037			_cTextbook
040			_aCSL _beng _cCSL
041			_aeng
084			_aB6:3 Q2.1 TB _qCSL
100			_aArnold, V I _9863074
245		0	_aSingularities differentiable maps : classification of critical points, caustics and wave fronts
260			_aBoston, _bBirkhuser: _c2012.
300			_axii, 382p.
500			_aReferences 360-370p.; Subject Index 375-382p.
520			_aSingularity theory is a far-reaching extension of maxima and minima investigations of differentiable functions, with implications for many different areas of mathematics, engineering (catastrophe theory and the theory of bifurcations), and science. The three parts of this first volume of a two-volume set deal with the stability problem for smooth mappings, critical points of smooth functions, and caustics and wave front singularities. The second volume describes the topological and algebro-geometrical aspects of the theory: monodromy, intersection forms, oscillatory integrals, asymptotics, and mixed Hodge structures of singularities. The first volume has been adapted for the needs of non-mathematicians, presupposing a limited mathematical background and beginning at an elementary level. With this foundation, the book's sophisticated development permits readers to explore more applications than previous books on singularities.
650			_aDifferentiable mappings _9863075
650			_aSingularities _9863076
650			_aMathematics _9863077
700			_aArnold, V I _9863074
700			_aGusein-Zade, S M _9863078
700			_aVarchenko, A N _9863079
942			_hB6:3 Q2.1 TB _cTB _2CC _n0
999			_c6961 _d6961