000 02206n a2200349#a 4500
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005 20230612155710.0
008 020117s2002 mau b 001 0 eng||
010 _a2002018234
020 _a0817642854 (alk. paper)
020 _a3764342854 (alk. paper)
035 _a(OCoLC
040 _aDLC
_cDLC
_dC#P
_dOHX
_dLVB
_dWSL
_dBAKER
042 _apcc
072 7 _aQA
_2lcco
082 0 0 _a515.8
_bK91i
090 _aan1
100 1 _aKrantz, Steven George
_d1951
_938642
245 1 4 _aThe implicit function theorem:
_bhistory, theory, and applications/
_cSteven G. Krantz, Harold R. Parks.
260 _aBoston:
_bBirkhäuser,
_cc2002.
300 _axi, 163 p.;
_c24 cm.
504 _aIncludes bibliographical references (p. [151]-159) and index.
505 2 _aImplicit functions -- An informal version of the implicit function theorem -- The implicit function theorem paradigm -- Historical introduction -- Newton -- Lagrange -- Cauchy -- The inductive proof of the implicit function theorem -- The classical approach to the implicit function theorem -- The contraction mapping fixed point principle -- The rank theorem and the decomposition theorem -- A counterexample -- Ordinary differential equations -- Numerical homotopy methods -- Equivalent definitions of a smooth surface -- Smoothness of the distance function -- The Weierstrass preparation theorem -- Implicit function theorems without differentiability -- An inverse function theorem for continuous mappings -- Some singular cases of the implicit function theorem -- Analytic implicit function theorems -- Hadamard""s global inverse function theorem -- The implicit function theorem via the Newton-Raphson method -- the Nash-Moser implicit function theor .
650 0 0 _aImplicit functions.
_916381
650 0 6 _aFonctions implicites.
_916382
697 _aAnálise 01-
_xTextos Gerais (inclusive Cálculo, Análise Vetorial, Séries, Construção de Números Reais e Análise Não-Standard)
_923718
700 1 _aParks, Harold R.,
_d1949-
_942138
856 4 1 _3Table of contents
_uhttp://www.loc.gov/catdir/toc/fy033/2002018234.html
942 _2impa
_cBK
949 _a200633612
999 _c29556
_d29556