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The implicit function theorem : history, theory, and applications /

Detalles Bibliográficos
Autor principal: Krantz, Steven G. (Steven George), 1951-
Otros Autores: Parks, Harold R., 1949- (coaut.)
Formato: Libro
Lenguaje:English
Publicado: Boston : Birkhäuser, c2002.
Materias:

MARC

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100 1 |a Krantz, Steven G.  |q (Steven George),  |d 1951- 
245 1 4 |a The implicit function theorem :  |b history, theory, and applications /  |c Steven G. Krantz, Harold R. Parks. 
260 |a Boston :  |b Birkhäuser,  |c c2002. 
300 |a xi, 163 p. ;  |c 24 cm. 
500 |a Glosario: p. [145]-150. 
504 |a Incluye bibliografía (p. [151]-159) e índice. 
505 2 |a Implicit 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 theorem. 
650 4 |a Funciones implícitas. 
700 1 |a Parks, Harold R.,  |d 1949- ,  |e coaut. 
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