| A Primer of Nonlinear Analysis Contributor(s): Ambrosetti, Antonio (Author), Prodi, Giovanni (Author) |
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ISBN: 1139172204 ISBN-13: 9781139172202 Publisher: Cambridge University Press OUR PRICE: $178.50 Product Type: Other - Other Formats Published: June 2021 |
| Additional Information |
| BISAC Categories: - Mathematics | Functional Analysis - Mathematics | Probability & Statistics - General - Mathematics | Algebra - Abstract |
| Dewey: 515.724 |
| Series: Cambridge Studies in Advanced Mathematics |
| 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 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. |