| A Primer of Nonlinear Analysis Contributor(s): Ambrosetti, Antonio (Author), Prodi, Giovanni (Author) |
|
 |
ISBN: 0521485738 ISBN-13: 9780521485739 Publisher: Cambridge University Press OUR PRICE: $59.84 Product Type: Paperback - Other Formats Published: March 1995 Annotation: This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory. |
| Additional Information |
| BISAC Categories: - Mathematics | Functional Analysis - Mathematics | Probability & Statistics - General - Mathematics | Algebra - Abstract |
| Dewey: 515.724 |
| Series: Cambridge Studies in Advanced Mathematics |
| Physical Information: 0.49" H x 6.18" W x 9.1" (0.63 lbs) 180 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |