A Primer of Nonlinear Analysis
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Primer of Nonlinear Analysis by Antonio Ambrosetti
Book DescriptionThis 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 DetailsISBN: 9780521485739
(228mm x 152mm x 11mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 9-Mar-1995
Country of Publication: United Kingdom
Books By Author Antonio Ambrosetti
Nonlinear Analysis and Semilinear Elliptic Problems, Hardback (January 2007)» View all books by Antonio Ambrosetti
Graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations.
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