A Primer of Nonlinear Analysis (Cambridge Studies in Advanced Mathematics, Series Number 34)

Ambrosetti, Antonio; Prodi, Giovanni

ISBN 10: 0521485738 / ISBN 13: 9780521485739

Editore: Cambridge University Press, 1995

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In shrink wrap. Looks like an interesting title! Codice articolo Q-0521485738

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Titolo: A Primer of Nonlinear Analysis (Cambridge ...

Casa editrice: Cambridge University Press

Data di pubblicazione: 1995

Legatura: paperback

Condizione: New

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