An Introduction To Nonlinear Analysis - Schechter Martin | Libro Cambridge University Press 12/2004 - HOEPLI.it


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schechter martin - an introduction to nonlinear analysis

An Introduction to Nonlinear Analysis




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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 12/2004





Note Editore

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.




Sommario

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.




Prefazione

The techniques used to solve non-linear problems differ greatly from those dealing with linear features. Deriving all the necessary theorems from first principles, this 2005 textbook should give upper undergraduates and graduate students a thorough understanding using as little background material as possible.




Trama

The techniques used to solve nonlinear problems differ greatly from those dealing with linear features. Deriving all the necessary theorems and principles from first principles, this textbook gives upper undergraduates and graduate students a thorough understanding using as little background material as possible.







Altre Informazioni

ISBN:

9780521843973

Condizione: Nuovo
Collana: Cambridge Studies in Advanced Mathematics
Dimensioni: 234 x 22 x 162 mm Ø 730 gr
Formato: Copertina rigida
Illustration Notes:148 exercises
Pagine Arabe: 384






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