Title: A Primer of Nonlinear Analysis (Cambridge Studies in Advanced Mathematics)
Publisher: Cambridge University Press
Publication Date: 1993
Language: English
ISBN 10: 0521373905
ISBN 13: 9780521373906
Binding: Hardcover
Condition: Like New
Book Type: book

About this title

Synopsis

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.