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Author : W M Fleischman
Publisher : Springer
Page : 128 pages
File Size : 51,9 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662164906
Author : W. M. Fleischman
Publisher : Springer
Page : 125 pages
File Size : 44,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540364191
Author : William M. Fleischman
Publisher : Unknown
Page : 109 pages
File Size : 53,5 Mb
Release : 1970
Category : Electronic
ISBN : OCLC:174865509
Author : Gerald Beer
Publisher : Springer Science & Business Media
Page : 360 pages
File Size : 42,7 Mb
Release : 1993-10-31
Category : Mathematics
ISBN : 0792325311
This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well. A unifying theme is the relationship between topology and set convergence on the one hand, and set functionals on the other. The text includes for the first time anywhere an exposition of three topologies that over the past ten years have become fundamental tools in optimization, one-sided analysis, convex analysis, and the theory of multifunctions: the Wijsman topology, the Attouch--Wets topology, and the slice topology. Particular attention is given to topologies on lower semicontinuous functions, especially lower semicontinuous convex functions, as associated with their epigraphs. The interplay between convex duality and topology is carefully considered and a chapter on set-valued functions is included. The book contains over 350 exercises and is suitable as a graduate text. This book is of interest to those working in general topology, set-valued analysis, geometric functional analysis, optimization, convex analysis and mathematical economics.
Author : Library of Congress. Copyright Office
Publisher : Copyright Office, Library of Congress
Page : 1040 pages
File Size : 43,9 Mb
Release : 1973
Category : Copyright
ISBN : STANFORD:36105119497647
Author : William M. Fleischman
Publisher : Unknown
Page : 109 pages
File Size : 50,8 Mb
Release : 1970
Category : Set-valued maps
ISBN : OCLC:1131978464
Author : Alejandro Illanes,Sergio Macias,Ira Lewis
Publisher : CRC Press
Page : 360 pages
File Size : 43,9 Mb
Release : 2002-07-25
Category : Mathematics
ISBN : 0203910249
Celebrating the work of world-renowned mathematician Sam B. Nadler, Jr., this reference examines the most recent advances in the analysis of continua. The book offers articles on the contributions of Professor Nadler, theorems on the structure and uniqueness of hyperspaces, results on the dynamics of solenoids, examples involving inverse limits of
Author : Klaus Deimling
Publisher : Walter de Gruyter
Page : 273 pages
File Size : 55,6 Mb
Release : 2011-07-22
Category : Mathematics
ISBN : 9783110874228
The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome. Please submit book proposals to Jürgen Appell.
Author : Robert F. Brown,Massimo Furi,L. Gorniewicz,Boju Jiang
Publisher : Springer Science & Business Media
Page : 966 pages
File Size : 47,9 Mb
Release : 2005-12-05
Category : Mathematics
ISBN : 9781402032226
This book is the first in the world literature presenting all new trends in topological fixed point theory. Until now all books connected to the topological fixed point theory were devoted only to some parts of this theory. This book will be especially useful for post-graduate students and researchers interested in the fixed point theory, particularly in topological methods in nonlinear analysis, differential equations and dynamical systems. The content is also likely to stimulate the interest of mathematical economists, population dynamics experts as well as theoretical physicists exploring the topological dynamics.
Author : S.E. Rodabaugh,Erich Peter Klement,Ulrich Höhle
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401126168
This book has a fundamental relationship to the International Seminar on Fuzzy Set Theory held each September in Linz, Austria. First, this volume is an extended account of the eleventh Seminar of 1989. Second, and more importantly, it is the culmination of the tradition of the preceding ten Seminars. The purpose of the Linz Seminar, since its inception, was and is to foster the development of the mathematical aspects of fuzzy sets. In the earlier years, this was accomplished by bringing together for a week small grou ps of mathematicians in various fields in an intimate, focused environment which promoted much informal, critical discussion in addition to formal presentations. Beginning with the tenth Seminar, the intimate setting was retained, but each Seminar narrowed in theme; and participation was broadened to include both younger scholars within, and established mathematicians outside, the mathematical mainstream of fuzzy sets theory. Most of the material of this book was developed over the years in close association with the Seminar or influenced by what transpired at Linz. For much of the content, it played a crucial role in either stimulating this material or in providing feedback and the necessary screening of ideas. Thus we may fairly say that the book, and the eleventh Seminar to which it is directly related, are in many respects a culmination of the previous Seminars.
Author : R. Bott,S. Gitler
Publisher : Springer
Page : 183 pages
File Size : 41,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540376163
Author : Francine Diener,Marc Diener
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642577581
This book introduces the graduate mathematician and researcher to the effective use of nonstandard analysis (NSA). It provides a tutorial introduction to this modern theory of infinitesimals, followed by nine examples of applications, including complex analysis, stochastic differential equations, differential geometry, topology, probability, integration, and asymptotics. It ends with remarks on teaching with infinitesimals.
Author : Jonathan S. Golan
Publisher : Springer Science & Business Media
Page : 224 pages
File Size : 55,7 Mb
Release : 1999-07-31
Category : Computers
ISBN : 0792358341
This research monograph investigates sets of the form RA where R is a semiring, and A is a set with a certain structure. Such constructs generalise fuzzy and toll algebraic structures, which in recent years have shown themselves of importance in engineering and computer science, as well as in new mathematical disciplines like idempotent analysis. This volume puts much of the ad hoc work of the past decade on a firm mathematical foundation by creating a unified approach which has important implications in such diverse areas as formal language theory, discrete dynamical systems, models of optimal control, and many others. This book also seeks to address the fundamental question posed by Höhle and Sostak as to what extent basic fields of mathematics like algebra and topology are dependent on the underlying set theory. Since the development of a new mathematical theory is basically inductive, this book begins with a large number of instances which appear in various mathematical contexts, and then develops a general abstract framework, with many examples which will encourage further study in greater depth. Audience: This work will be of interest to mathematicians whose work involves associative rings and algebras, ordered algebraic structures, optimal control, graph theory, fuzzy sets and fuzzy algebraic structures.
Author : Monique Florenzano
Publisher : Springer Science & Business Media
Page : 187 pages
File Size : 54,6 Mb
Release : 2013-03-09
Category : Business & Economics
ISBN : 9781475753158
General Equilibrium Analysis is a systematic exposition of the Walrasian model of economic equilibrium with a finite number of agents, as formalized by Arrow, Debreu and McKenzie at the beginning of the fifties and since then extensively used, worked and studied. Existence and optimality of general equilibrium are developed repeatedly under different sets of hypothesis which define some general settings and delineate different approaches to the general equilibrium existence problem. The final chapter is devoted to the extension of the general equilibrium model to economies defined on an infinite dimensional commodity space. The objective of General Equilibrium Analysis is to give to each problem in each framework the most general solution, at least for the present state of art. The intended readers are graduate students, specialists and researchers in economics, especially in mathematical economics. The book is appropriate as a class text, or for self-study.
Author : Szymon Dolecki
Publisher : World Scientific
Page : 733 pages
File Size : 51,9 Mb
Release : 2024-01-03
Category : Mathematics
ISBN : 9789811232121
Topological spaces are a special case of convergence spaces. This textbook introduces topology within a broader context of convergence theory. The title alludes to advantages of the present approach, which is more gratifying than many traditional ones: you travel more comfortably through mathematical landscapes and you see more.The book is addressed both to those who wish to learn topology and to those who, being already knowledgeable about topology, are curious to review it from a different perspective, which goes well beyond the traditional knowledge.Usual topics of classic courses of set-theoretic topology are treated at an early stage of the book — from a viewpoint of convergence of filters, but in a rather elementary way. Later on, most of these facts reappear as simple consequences of more advanced aspects of convergence theory.The mentioned virtues of the approach stem from the fact that the class of convergences is closed under several natural, essential operations, under which the class of topologies is not! Accordingly, convergence theory complements topology like the field of complex numbers algebraically completes the field of real numbers.Convergence theory is intuitive and operational because of appropriate level of its abstraction, general enough to grasp the underlying laws, but not too much in order not to lose intuitive appeal.