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An Introduction to Nonlinear Analysis: Theory

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

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Book Synopsis An Introduction to Nonlinear Analysis: Theory by : Zdzislaw Denkowski

Download or read book An Introduction to Nonlinear Analysis: Theory written by Zdzislaw Denkowski. This book was released on 2013-12-01. Available in PDF, EPUB and Kindle. Book excerpt: 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

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

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Book Synopsis An Introduction to Nonlinear Analysis: Applications by : Zdzislaw Denkowski

Download or read book An Introduction to Nonlinear Analysis: Applications written by Zdzislaw Denkowski. This book was released on 2003-01-31. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Nonlinear Functional Analysis and Elliptic Problems

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

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Book Synopsis An Introduction to Nonlinear Functional Analysis and Elliptic Problems by : Antonio Ambrosetti

Download or read book An Introduction to Nonlinear Functional Analysis and Elliptic Problems written by Antonio Ambrosetti. This book was released on 2011-07-19. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applied Nonlinear Analysis

2006-01-01 Mathematics
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Release : 2006-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 243/5 ( reviews)

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Book Synopsis Applied Nonlinear Analysis by : Jean-Pierre Aubin

Download or read book Applied Nonlinear Analysis written by Jean-Pierre Aubin. This book was released on 2006-01-01. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear analysis, formerly a subsidiary of linear analysis, has advanced as an individual discipline, with its own methods and applications. Moreover, students can now approach this highly active field without the preliminaries of linear analysis. As this text demonstrates, the concepts of nonlinear analysis are simple, their proofs direct, and their applications clear. No prerequisites are necessary beyond the elementary theory of Hilbert spaces; indeed, many of the most interesting results lie in Euclidean spaces. In order to remain at an introductory level, this volume refrains from delving into technical difficulties and sophisticated results not in current use. Applications are explained as soon as possible, and theoretical aspects are geared toward practical use. Topics range from very smooth functions to nonsmooth ones, from convex variational problems to nonconvex ones, and from economics to mechanics. Background notes, comments, bibliography, and indexes supplement the text.

An Introduction to Nonlinear Analysis: Theory

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

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Book Synopsis An Introduction to Nonlinear Analysis: Theory by : Zdzisław Denkowski

Download or read book An Introduction to Nonlinear Analysis: Theory written by Zdzisław Denkowski. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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