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

Ambrosetti, Antonio; Prodi, Giovanni

Hardcover

ISBN 10: 0521373905 ISBN 13: 9780521373906

Publisher: Cambridge University Press, 1993

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.

About this title

Review

'There's no more economical or lucid introduction to the subject than this great little book.' The Mathematical Intelligencer

Book Description

This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory. The book is intended to accompany advanced courses for students of pure and applied mathematics and physics; exercises are consequently included.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1993
• ISBN 10: 0521373905
• ISBN 13: 9780521373906
• Binding: Hardcover
• Language: English
• Number of pages: 179