An Introduction to Nonlinear Analysis

Erscheinungsjahr 2012
ISBN: 978-0-521-60513-7
Verlag: Cambridge University Press

Buch, Englisch, Band 95, 382 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 619 g

Reihe: Cambridge Studies in Advanced Mathematics

The techniques that can be used to solve non-linear problems are far different than those that are used to solve linear problems. Many courses in analysis and applied mathematics attack linear cases simply because they are easier to solve and do not require a large theoretical background in order to approach them. Professor Schechter's 2005 book is devoted to non-linear methods using the least background material possible and the simplest linear techniques. An understanding of the tools for solving non-linear problems is developed whilst demonstrating their application to problems in one dimension and then leading to higher dimensions. The reader is guided using simple exposition and proof, assuming a minimal set of pre-requisites. For completion, a set of appendices covering essential basics in functional analysis and metric spaces is included, making this ideal as an accompanying text on an upper-undergraduate or graduate course, or even for self-study.

Autoren/Hrsg.

Schechter, Martin

Bollobas, Bela

Fulton, W.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis

Inhaltsverzeichnis

1. Extrema
2. Critical points
3. Boundary value problems
4. Saddle points
5. Calculus of variations
6. Degree theory
7. Conditional extrema
8. Minimax methods
9. Jumping nonlinearities
10. Higher dimensions.