by
Agarwal, Ravi P.
Call Number
515.7248 22
Publication Date
2001
Summary
A clear exposition of the flourishing field of fixed point theory. Most of the main results and techniques are developed, together with applications in analysis. Researchers and graduate students in applicable analysis will find this to be a useful survey of the fundamental principles of the subject.
Format:
Electronic Resources
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158236.0000
by
Argyros, Ioannis K., author.
Call Number
515.355 23
Publication Date
2013
Summary
The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point problems, nonlinear equations and variational inclusions are the first goal of the present book. The second goal is the applications of these methods in nonlinear problems and the connection with fixed point theory. This book is intended for researchers in computational sciences, and as a reference book for an advanced computational methods in nonlinear analysis. We collect the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces, and present several applications and connections with fixed point theory. The book contains abundant and updated bibliography, and provides comparison between various investigations made in recent years in the field of computational nonlinear analysis.
Format:
Electronic Resources
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118963.2188
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by
Urai, Ken, 1962-
Call Number
339.5 22
Publication Date
2010
Summary
This book presents a systematic approach to problems in economic equilibrium based on fixed-point arguments and rigorous set-theoretical (axiomatic) methods. It describes the highest-level research on the classical theme, fixed points and economic equilibria, in the theory of mathematical economics, and also presents basic results in this area, especially in the general equilibrium theory and non-co-operative game theory. The arguments also contain distinguishable developments of the main theme in the homology theory for general topological spaces, in the model theory and mathematical logic, a.
Format:
Electronic Resources
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4.0368
by
Krantz, Steven G. (Steven George), 1951-
Call Number
515.7 23
Publication Date
2013
Format:
Electronic Resources
Relevance:
0.2835
by
Abrahams, Elihu.
Call Number
530.41 22
Publication Date
2010
Summary
This unique volume celebrates the five decades of the impact of Anderson localization on modern physics. In addition to the historical perspective on its origin, it provides a comprehensive description of the experimental and theoretical aspects of Anderson localization.
Format:
Electronic Resources
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0.1547
by
Kung, William.
Call Number
530.41 22
Publication Date
2009
Summary
This monograph represents an extension of the author's original PhD thesis and includes a more thorough discussion on the concepts and mathematics behind his research works on the foam model, as applied to studying issues of phase stability and elasticity for various non-closed packed structures found in fuzzy and colloidal crystals, as well as on a renormalization-group analysis regarding the critical behavior of loop polymers upon which topological constraints are imposed. The common thread behind these two research works is their demonstration of the importance and effectiveness of utilizing geometrical and topological concepts for modeling and understanding soft systems undergoing phase transitions.
Format:
Electronic Resources
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0.1381
by
Panangaden, P. (Prakash)
Call Number
519.233 22
Publication Date
2009
Summary
Labelled Markov processes are probabilistic versions of labelled transition systems with continuous state spaces. The book covers basic probability and measure theory on continuous state spaces and then develops the theory of LMPs. The main topics covered are bisimulation, the logical characterization of bisimulation, metrics and approximation theory. An unusual feature of the book is the connection made with categorical and domain theoretic concepts.
Format:
Electronic Resources
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0.1296
by
Ban, Adrian I.
Call Number
510 21
Publication Date
2002
Summary
"This book introduces a method of research which can be used in various fields of mathematics. It examines, in a systematic way, the quantitative characterizations of the "deviation from a (given) property", called the "defect of a property", in: set theory; topology; measure theory; real, complex and functional analysis; algebra; geometry; number theory; fuzzy mathematics"--Page 2 of cover.
Format:
Electronic Resources
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0.1296
by
Pearl, Elliott.
Call Number
514 22
Publication Date
2007
Summary
This volume is a collection of surveys of research problems in topology and its applications. The topics covered include general topology, set-theoretic topology, continuum theory, topological algebra, dynamical systems, computational topology and functional analysis. * New surveys of research problems in topology * New perspectives on classic problems * Representative surveys of research groups from all around the world.
Format:
Electronic Resources
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0.1066
by
Kleinert, Hagen.
Call Number
530.12 22
Publication Date
2001
Format:
Electronic Resources
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0.1025
by
Gowers, Timothy.
Call Number
510 22
Publication Date
2008
Summary
This text features nearly 200 entries which introduce basic mathematical tools and vocabulary, trace the development of modern mathematics, define essential terms and concepts and put them in context, explain core ideas in major areas of mathematics, and much more.
Format:
Electronic Resources
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0.0927
by
International Society for Analysis, Applications, and Computation. Congress (7th : 2009 : Imperial College, London)
Call Number
515 22
Publication Date
2010
Summary
The International Society for Analysis, its Applications and Computation (ISAAC) has held its international congresses biennially since 1997. This proceedings volume reports on the progress in analysis, applications and computation in recent years as covered and discussed at the 7th ISAAC Congress. This volume includes papers on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 500 participants from almost 60 countries attending the congress, the book comprises a broad selection of contributions in different topics.
Format:
Electronic Resources
Relevance:
0.0793
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