A primer of nonlinear analysis
Author(s)
Bibliographic Information
A primer of nonlinear analysis
（Cambridge studies in advanced mathematics, 34）
Cambridge University Press, c1993
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Note
Bibliography: p. [165]-169
Includes index
Description and Table of Contents
Description
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.
Table of Contents
- Preface
- Preliminaries and notation
- 1. Differential calculus
- 2. Local inversion theorems
- 3. Global inversion theorems
- 4. Semilinear Dirichlet problems
- 5. Bifurcation results
- 6. Bifurcation problems
- 7. Bifurcation of periodic solutions
- Further reading.
by "Nielsen BookData"