A Primer of Nonlinear Analysis - Couverture rigide

Ambrosetti, Antonio; Prodi, Giovanni

9780521373906: A Primer of Nonlinear Analysis

Couverture rigide

ISBN 10 : 0521373905 ISBN 13 : 9780521373906

Editeur : Cambridge University Press, 1993

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Book by Ambrosetti Antonio Prodi Giovanni

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Pr�sentation de l'�diteur :

This is an introduction to nonlinear functional analysis, in particular to those methods based on differential calculus in Banach spaces. It is in two parts; the first deals with the geometry of Banach spaces and includes a discussion of local and global inversion theorems for differentiable mappings. In the second part, the authors are more concerned with bifurcation theory, including the Hopf bifurcation. They include plenty of motivational and illustrative applications, which indeed provide much of the justification of nonlinear analysis. In particular, they discuss bifurcation problems arising from such areas as mechanics and fluid dynamics. The book is intended to accompany upper division courses for students of pure and applied mathematics and physics; exercises are consequently included.

Revue de presse :

'There's no more economical or lucid introduction to the subject than this great little book.' The Mathematical Intelligencer

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