Hardcover. 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 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9780521843973

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Dati bibliografici

Titolo: An Introduction to Nonlinear Analysis (Hardcover)
Editore: Cambridge University Press, Cambridge
Data di pubblicazione: 2004
Lingua: Inglese
ISBN 10: 0521843979
ISBN 13: 9780521843973
Rilegatura: Hardcover
Condizione: new

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Riassunto

A 2005 guide to solving non-linear problems, using simple exposition and easy proofs.

Recensione

Review of the hardback: '... presents an introduction to critical point theory addressed to students with a modest background in Lebesgue integration and linear functional analysis. Many important methods from nonlinear analysis are introduced in a problem oriented way ... well written ... should be present in the library of any researcher interested in L�vy processes and Lie groups.' Zentralblatt MATH

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