An Introduction to Nonlinear Analysis
By (author) Martin Schechter
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Introduction to Nonlinear Analysis by Martin Schechter
Book DescriptionThe 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.
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Book DetailsISBN: 9780521843973
(228mm x 152mm x 25mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 10-Jan-2005
Country of Publication: United Kingdom
Books By Author Martin Schechter
Modern Methods in Partial Differential Equations, Paperback (February 2014)
When first published in 1977, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Now it remains a permanent, much-cited contribution to the ever-expanding literature.
Topics in Critical Point Theory, Hardback (November 2012)
Provides an introduction to critical point theory and shows how it solves many difficult problems.
Introduction to Nonlinear Analysis, Paperback (September 2012)
A 2005 guide to solving non-linear problems, using simple exposition and easy proofs.
Operator Methods in Quantum Mechanics, Hardback (March 2003)» View all books by Martin Schechter
This text introduces techniques related to physical theory. Entire book is devoted to a particle moving in a straight line; students develop techniques by answering questions about the particle. 1981 edition.
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