000			04316nam a22003975i 4500
001			281295
003			MX-SnUAN
005			20160429154059.0
007			cr nn 008mamaa
008			150903s2012 xxu| o |||| 0|eng d
020			_a9780817683405 _99780817683405
024	7		_a10.1007/9780817683405 _2doi
035			_avtls000333744
039		9	_a201509030803 _bVLOAD _c201404130525 _dVLOAD _c201404092314 _dVLOAD _y201402041118 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA299.6-433
100	1		_aArnold, V.I. _eautor _9306861
245	1	0	_aSingularities of Differentiable Maps, Volume 1 : _bClassification of Critical Points, Caustics and Wave Fronts / _cby V.I. Arnold, S.M. Gusein-Zade, A.N. Varchenko.
264		1	_aBoston : _bBirkhäuser Boston : _bImprint: Birkhäuser, _c2012.
300			_axii, 282 páginas 67 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aModern Birkhäuser Classics
500			_aSpringer eBooks
505	0		_aPart I. Basic concepts -- The simplest examples -- The classes Sigma^ I -- The quadratic differential of a map -- The local algebra of a map and the Weierstrass preparation theorem -- The local multiplicity of a holomorphic map -- Stability and infinitesimal stability -- The proof of the stability theorem -- Versal deformations -- The classification of stable germs by genotype -- Review of further results -- Part II. Critical points of smooth functions -- A start to the classification of critical points -- Quasihomogeneous and semiquasihomogeneous singularities -- The classification of quasihomogeneous functions -- Spectral sequences for the reduction to normal forms -- Lists of singularities -- The determinator of singularities -- Real, symmetric and boundary singularities -- Part III. Singularities of caustics and wave fronts -- Lagrangian singularities -- Generating families -- Legendrian singularities -- The classification of Lagrangian and Legendrian singularities -- The bifurcation of caustics and wave fronts -- References -- Further references -- Subject Index.
520			_aOriginally published in the 1980s, Singularities of Differentiable Maps: The Classification of Critical Points, Caustics and Wave Fronts was the first of two volumes that together formed a translation of the authors' influential Russian monograph on singularity theory.  This uncorrected softcover reprint of the work brings its still-relevant content back into the literature, making it available—and affordable—to a global audience of researchers and practitioners. Singularity 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 deal with the stability problem for smooth mappings, critical points of smooth functions, and caustics and wave front singularities.  Building on these concepts, the second volume (Monodromy and Asymptotics of Integrals) describes the topological and algebro-geometrical aspects of the theory, including monodromy, intersection forms, oscillatory integrals, asymptotics, and mixed Hodge structures of singularities. Singularities of Differentiable Maps: The Classification of Critical Points, Caustics and Wave Fronts accommodates 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 an unparalleled breadth of applications.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aGusein-Zade, S.M. _eautor _9306862
700	1		_aVarchenko, A.N. _eautor _9306863
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780817683399
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-8340-5 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942			_c14
999			_c281295 _d281295