A Primer of Nonlinear Analysis

Antonio Ambrosetti

ISBN 10: 0521485738 / ISBN 13: 9780521485739

Editore: Cambridge University Press, 1995

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Druck auf Anfrage Neuware - Printed after ordering - This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory. Codice articolo 9780521485739

Dati bibliografici

Titolo: A Primer of Nonlinear Analysis

Casa editrice: Cambridge University Press

Data di pubblicazione: 1995

Legatura: Taschenbuch

Condizione: Neu

Descrizione articolo

Riassunto:

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.

Recensione:

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