A Primer of Nonlinear Analysis

Antonio Ambrosetti, Giovanni Prodi

ISBN 10: 0521485738 / ISBN 13: 9780521485739

Published by Cambridge University Press, GB, 1995

About this Item

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.

Seller Inventory # LU-9780521485739

Bibliographic Details

• Title: A Primer of Nonlinear Analysis
• Publisher: Cambridge University Press, GB
• Publication Date: 1995
• Language: English
• ISBN 10: 0521485738
• ISBN 13: 9780521485739
• Binding: Paperback
• Condition: New

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 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.

Book Description

The first part of this introduction 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.