A Primer of Nonlinear Analysis. Antonio Ambrosetti, Giovanni Prodi

A Primer of Nonlinear Analysis



Download A Primer of Nonlinear Analysis



A Primer of Nonlinear Analysis Antonio Ambrosetti, Giovanni Prodi ebook djvu
Publisher: Cambridge University Press
Language: English
Page: 178
ISBN: 0521373905, 9780521373906

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 differential 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.



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