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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.

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Book Details

ISBN: 9780521485739
ISBN-10: 0521485738
Format: Paperback
(228mm x 152mm x 11mm)
Pages: 180
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 9-Mar-1995
Country of Publication: United Kingdom

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Books By Author Antonio Ambrosetti