An Introduction To Nonlinear Analysis Theory PDF Download
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Author | : Zdzislaw Denkowski |
Publisher | : Springer Science & Business Media |
Total Pages | : 699 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 1441991581 |
Download An Introduction to Nonlinear Analysis: Theory Book 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.
Author | : Martin Schechter |
Publisher | : Cambridge University Press |
Total Pages | : 380 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9780521843973 |
Download An Introduction to Nonlinear Analysis Book 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.
Author | : Antonio Ambrosetti |
Publisher | : Springer Science & Business Media |
Total Pages | : 203 |
Release | : 2011-07-19 |
Genre | : Mathematics |
ISBN | : 0817681140 |
Download An Introduction to Nonlinear Functional Analysis and Elliptic Problems Book 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.
Author | : Zdzislaw Denkowski |
Publisher | : Springer Science & Business Media |
Total Pages | : 844 |
Release | : 2003-01-31 |
Genre | : Computers |
ISBN | : 9780306474569 |
Download An Introduction to Nonlinear Analysis: Applications Book 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.
Author | : Jean-Pierre Aubin |
Publisher | : Springer Science & Business Media |
Total Pages | : 442 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662035391 |
Download Optima and Equilibria Book in PDF, ePub and Kindle
Progress in the theory of economic equilibria and in game theory has proceeded hand in hand with that of the mathematical tools used in the field, namely nonlinear analysis and, in particular, convex analysis. Jean-Pierre Aubin, one of the leading specialists in nonlinear analysis and its application to economics, has written a rigorous and concise - yet still elementary and self-contained - textbook providing the mathematical tools needed to study optima and equilibria, as solutions to problems, arising in economics, management sciences, operations research, cooperative and non-cooperative games, fuzzy games etc. It begins with the foundations of optimization theory, and mathematical programming, and in particular convex and nonsmooth analysis. Nonlinear analysis is then presented, first game-theoretically, then in the framework of set valued analysis. These results are then applied to the main classes of economic equilibria. The book contains numerous exercises and problems: the latter allow the reader to venture into areas of nonlinear analysis that lie beyond the scope of the book and of most graduate courses.
Author | : Zdzisław Denkowski |
Publisher | : Springer Science & Business Media |
Total Pages | : 708 |
Release | : 2003 |
Genre | : Applied mathematics |
ISBN | : 9780306473920 |
Download An Introduction to Nonlinear Analysis: Theory Book 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.
Author | : Nikolaos S. Papageorgiou |
Publisher | : Springer |
Total Pages | : 577 |
Release | : 2019-02-26 |
Genre | : Mathematics |
ISBN | : 3030034305 |
Download Nonlinear Analysis - Theory and Methods Book in PDF, ePub and Kindle
This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.
Author | : Kung-Ching Chang |
Publisher | : Springer Science & Business Media |
Total Pages | : 448 |
Release | : 2005-11-21 |
Genre | : Mathematics |
ISBN | : 3540292322 |
Download Methods in Nonlinear Analysis Book in PDF, ePub and Kindle
This book offers a systematic presentation of up-to-date material scattered throughout the literature from the methodology point of view. It reviews the basic theories and methods, with many interesting problems in partial and ordinary differential equations, differential geometry and mathematical physics as applications, and provides the necessary preparation for almost all important aspects in contemporary studies. All methods are illustrated by carefully chosen examples from mechanics, physics, engineering and geometry.
Author | : Michel Chipot |
Publisher | : Springer Science & Business Media |
Total Pages | : 268 |
Release | : 2000-11-01 |
Genre | : Mathematics |
ISBN | : 9783764364069 |
Download Elements of Nonlinear Analysis Book in PDF, ePub and Kindle
"This book covers some of the main aspects of nonlinear analysis. It concentrates on stressing the fundamental ideas instead of elaborating on the intricacies of the more esoteric ones...it encompass[es] many methods of dynamical systems in quite simple and original settings. I recommend this book to anyone interested in the main and essential concepts of nonlinear analysis as well as the relevant methodologies and applications." --MATHEMATICAL REVIEWS
Author | : Leszek Gasinski |
Publisher | : CRC Press |
Total Pages | : 992 |
Release | : 2005-07-27 |
Genre | : Mathematics |
ISBN | : 9781584884842 |
Download Nonlinear Analysis Book in PDF, ePub and Kindle
Nonlinear analysis is a broad, interdisciplinary field characterized by a remarkable mixture of analysis, topology, and applications. Its concepts and techniques provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in fields ranging from engineering and chemistry to economics and biology. This volume focuses on topics in nonlinear analysis pertinent to the theory of boundary value problems and their application in areas such as control theory and the calculus of variations. It complements the many other books on nonlinear analysis by addressing topics previously discussed fully only in scattered research papers. These include recent results on critical point theory, nonlinear differential operators, and related regularity and comparison principles. The rich variety of topics, both theoretical and applied, make Nonlinear Analysis useful to anyone, whether graduate student or researcher, working in analysis or its applications in optimal control, theoretical mechanics, or dynamical systems. An appendix contains all of the background material needed, and a detailed bibliography forms a guide for further study.