An Introduction to Nonlinear Analysis

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Author :
Release : 2004
Genre : Mathematics
Kind :
Book Rating : 973/5 ( reviews)

An Introduction to Nonlinear Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Nonlinear Analysis write by Martin Schechter. This book was released on 2004. An Introduction to Nonlinear Analysis available in PDF, EPUB and Kindle. 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.

An Introduction to Nonlinear Analysis: Theory

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Release : 2013-12-01
Genre : Mathematics
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Book Rating : 581/5 ( reviews)

An Introduction to Nonlinear Analysis: Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Nonlinear Analysis: Theory write by Zdzislaw Denkowski. This book was released on 2013-12-01. An Introduction to Nonlinear Analysis: Theory available in PDF, EPUB and Kindle. An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ranging from mathematical physics and engineering to social sciences and economics. Topics covered in this book include the necessary background material from topology, measure theory and functional analysis (Banach space theory). The text also deals with multivalued analysis and basic features of nonsmooth analysis, providing a solid background for the more applications-oriented material of the book An Introduction to Nonlinear Analysis: Applications by the same authors. The book is self-contained and accessible to the newcomer, complete with numerous examples, exercises and solutions. It is a valuable tool, not only for specialists in the field interested in technical details, but also for scientists entering Nonlinear Analysis in search of promising directions for research.

An Introduction to Nonlinear Functional Analysis and Elliptic Problems

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Release : 2011-07-19
Genre : Mathematics
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Book Rating : 140/5 ( reviews)

An Introduction to Nonlinear Functional Analysis and Elliptic Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Nonlinear Functional Analysis and Elliptic Problems write by Antonio Ambrosetti. This book was released on 2011-07-19. An Introduction to Nonlinear Functional Analysis and Elliptic Problems available in PDF, EPUB and Kindle. This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems and displays how various approaches can easily be applied to a range of model cases. Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.

An Introduction to Nonlinear Analysis: Theory

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Author :
Release : 2003
Genre : Applied mathematics
Kind :
Book Rating : 920/5 ( reviews)

An Introduction to Nonlinear Analysis: Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Nonlinear Analysis: Theory write by Zdzisław Denkowski. This book was released on 2003. An Introduction to Nonlinear Analysis: Theory available in PDF, EPUB and Kindle. An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ranging from mathematical physics and engineering to social sciences and economics. Topics covered in this book include the necessary background material from topology, measure theory and functional analysis (Banach space theory). The text also deals with multivalued analysis and basic features of nonsmooth analysis, providing a solid background for the more applications-oriented material of the book An Introduction to Nonlinear Analysis: Applications by the same authors. The book is self-contained and accessible to the newcomer, complete with numerous examples, exercises and solutions. It is a valuable tool, not only for specialists in the field interested in technical details, but also for scientists entering Nonlinear Analysis in search of promising directions for research.

An Introduction to Nonlinear Analysis: Applications

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Release : 2003-01-31
Genre : Computers
Kind :
Book Rating : 569/5 ( reviews)

An Introduction to Nonlinear Analysis: Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Nonlinear Analysis: Applications write by Zdzislaw Denkowski. This book was released on 2003-01-31. An Introduction to Nonlinear Analysis: Applications available in PDF, EPUB and Kindle. This book offers an exposition of the main applications of Nonlinear Analysis, beginning with a chapter on Nonlinear Operators and Fixed Points, a connecting point and bridge from Nonlinear Analysis theory to its applications. The topics covered include applications to ordinary and partial differential equations, optimization, optimal control, calculus of variations and mathematical economics. The presentation is supplemented with the inclusion of many exercises and their solutions.