Hyperspaces

Fundamentals and Recent Advances
Author: Alejandro Illanes,Sam Nadler
Publisher: CRC Press
ISBN: 9780824719821
Category: Mathematics
Page: 544
View: 9686
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Presents hyperspace fundamentals, offering a basic overview and a foundation for further study. Topics include the topology for hyperspaces, examples of geometric models for hyperspaces, 2x and C(X) for Peano continua X, arcs in hyperspaces, the shape and contractability of hyperspaces, hyperspaces and the fixed point property, and Whitney maps. The text contains examples and exercises throughout, and provides proofs for most results.

Invariant Descriptive Set Theory


Author: Su Gao
Publisher: CRC Press
ISBN: 9781584887942
Category: Mathematics
Page: 392
View: 7566
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Presents Results from a Very Active Area of Research Exploring an active area of mathematics that studies the complexity of equivalence relations and classification problems, Invariant Descriptive Set Theory presents an introduction to the basic concepts, methods, and results of this theory. It brings together techniques from various areas of mathematics, such as algebra, topology, and logic, which have diverse applications to other fields. After reviewing classical and effective descriptive set theory, the text studies Polish groups and their actions. It then covers Borel reducibility results on Borel, orbit, and general definable equivalence relations. The author also provides proofs for numerous fundamental results, such as the Glimm–Effros dichotomy, the Burgess trichotomy theorem, and the Hjorth turbulence theorem. The next part describes connections with the countable model theory of infinitary logic, along with Scott analysis and the isomorphism relation on natural classes of countable models, such as graphs, trees, and groups. The book concludes with applications to classification problems and many benchmark equivalence relations. By illustrating the relevance of invariant descriptive set theory to other fields of mathematics, this self-contained book encourages readers to further explore this very active area of research.

Continuum Theory

An Introduction
Author: Sam Nadler
Publisher: CRC Press
ISBN: 1351990535
Category: Mathematics
Page: 348
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A textbook for either a semester or year course for graduate students of mathematics who have had at least one course in topology. Introduces continuum theory through a combination of classical and modern techniques. Annotation copyright Book News, Inc. Portland, Or.

The Adaptive Web

Methods and Strategies of Web Personalization
Author: Peter Brusilovski,Alfred Kobsa,Wolfgang Nejdl
Publisher: Springer Science & Business Media
ISBN: 3540720782
Category: Computers
Page: 766
View: 924
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This state-of-the-art survey provides a systematic overview of the ideas and techniques of the adaptive Web and serves as a central source of information for researchers, practitioners, and students. The volume constitutes a comprehensive and carefully planned collection of chapters that map out the most important areas of the adaptive Web, each solicited from the experts and leaders in the field.

The Porous Medium Equation

Mathematical Theory
Author: Juan Luis Vazquez
Publisher: Oxford University Press
ISBN: 0198569033
Category: Mathematics
Page: 624
View: 7461
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Aimed at research students and academics in mathematics and engineering, as well as engineering specialists, this book provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation.

Distributed, Ambient, and Pervasive Interactions

First International Conference, DAPI 2013, Held as Part of HCI International 2013, Las Vegas, NV, USA, July 21-26, 2013. Proceedings
Author: Norbert Streitz,Constantine Stephanidis
Publisher: Springer
ISBN: 3642393519
Category: Computers
Page: 519
View: 6513
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This book constitutes the refereed proceedings of the 5th International Conference on Distributed, Ambient and Pervasive Interactions, DAPI 2013, held as part of the 15th International Conference on Human-Computer Interaction, HCII 2013, held in Las Vegas, USA in July 2013, jointly with 12 other thematically similar conferences. The total of 1666 papers and 303 posters presented at the HCII 2013 conferences was carefully reviewed and selected from 5210 submissions. These papers address the latest research and development efforts and highlight the human aspects of design and use of computing systems. The papers accepted for presentation thoroughly cover the entire field of human-computer interaction, addressing major advances in knowledge and effective use of computers in a variety of application areas. The total of 54 contributions was carefully reviewed and selected for inclusion in the DAPI proceedings. The papers are organized in the following topical sections: natural interaction; context-awareness in smart and intelligent environments; design and evaluation of smart and intelligent environments; smart cities; multi-user, group and collaborative interaction; smart everyday living and working environments.

Topics on Continua


Author: Sergio Macías
Publisher: Springer
ISBN: 3319909029
Category: Mathematics
Page: 441
View: 1624
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This book is a significant companion text to the existing literature on continuum theory. It opens with background information of continuum theory, so often missing from the preceding publications, and then explores the following topics: inverse limits, the Jones set function T, homogenous continua, and n-fold hyperspaces. In this new edition of the book, the author builds on the aforementioned topics, including the unprecedented presentation of n-fold hyperspace suspensions and induced maps on n-fold hyperspaces. The first edition of the book has had a remarkable impact on the continuum theory community. After twelve years, this updated version will also prove to be an excellent resource within the field of topology.

Topology with Applications

Topological Spaces Via Near and Far
Author: Somashekhar A. Naimpally,James F. Peters
Publisher: World Scientific
ISBN: 9814407666
Category: Mathematics
Page: 277
View: 7886
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The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces, metrization, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces.This book provides a complete framework for the study of topology with a variety of applications in science and engineering that include camouflage filters, classification, digital image processing, forgery detection, Hausdorff raster spaces, image analysis, microscopy, paleontology, pattern recognition, population dynamics, stem cell biology, topological psychology, and visual merchandising.It is the first complete presentation on topology with applications considered in the context of proximity spaces, and the nearness and remoteness of sets of objects. A novel feature throughout this book is the use of near and far, discovered by F Riesz over 100 years ago. In addition, it is the first time that this form of topology is presented in the context of a number of new applications.

Handbook of Statistical Analysis and Data Mining Applications


Author: Robert Nisbet,Gary Miner,Ken Yale
Publisher: Elsevier
ISBN: 0124166458
Category: Mathematics
Page: 822
View: 7348
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Handbook of Statistical Analysis and Data Mining Applications, Second Edition, is a comprehensive professional reference book that guides business analysts, scientists, engineers and researchers, both academic and industrial, through all stages of data analysis, model building and implementation. The handbook helps users discern technical and business problems, understand the strengths and weaknesses of modern data mining algorithms and employ the right statistical methods for practical application. This book is an ideal reference for users who want to address massive and complex datasets with novel statistical approaches and be able to objectively evaluate analyses and solutions. It has clear, intuitive explanations of the principles and tools for solving problems using modern analytic techniques and discusses their application to real problems in ways accessible and beneficial to practitioners across several areas—from science and engineering, to medicine, academia and commerce. Includes input by practitioners for practitioners Includes tutorials in numerous fields of study that provide step-by-step instruction on how to use supplied tools to build models Contains practical advice from successful real-world implementations Brings together, in a single resource, all the information a beginner needs to understand the tools and issues in data mining to build successful data mining solutions Features clear, intuitive explanations of novel analytical tools and techniques, and their practical applications

Calculus Without Derivatives


Author: Jean-Paul Penot
Publisher: Springer Science & Business Media
ISBN: 1461445388
Category: Mathematics
Page: 524
View: 2638
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Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.

Abstract Compositional Analysis of Iterated Relations

A Structural Approach to Complex State Transition Systems
Author: Frederic Geurts
Publisher: Springer
ISBN: 3540492119
Category: Computers
Page: 280
View: 8828
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Algebraic Design Theory


Author: Warwick De Launey,Dane Laurence Flannery
Publisher: American Mathematical Soc.
ISBN: 0821844962
Category: Mathematics
Page: 298
View: 1012
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Combinatorial design theory is a source of simply stated, concrete, yet difficult discrete problems, with the Hadamard conjecture being a prime example. It has become clear that many of these problems are essentially algebraic in nature. This book provides a unified vision of the algebraic themes which have developed so far in design theory. These include the applications in design theory of matrix algebra, the automorphism group and its regular subgroups, the composition of smaller designs to make larger designs, and the connection between designs with regular group actions and solutions to group ring equations. Everything is explained at an elementary level in terms of orthogonality sets and pairwise combinatorial designs--new and simple combinatorial notions which cover many of the commonly studied designs. Particular attention is paid to how the main themes apply in the important new context of cocyclic development. Indeed, this book contains a comprehensive account of cocyclic Hadamard matrices. The book was written to inspire researchers, ranging from the expert to the beginning student, in algebra or design theory, to investigate the fundamental algebraic problems posed by combinatorial design theory.

Convex Bodies: The Brunn–Minkowski Theory


Author: Rolf Schneider
Publisher: Cambridge University Press
ISBN: 1107601010
Category: Mathematics
Page: 760
View: 6888
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A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.

An Introduction to Quantum Computing


Author: Phillip Kaye,Raymond Laflamme,Michele Mosca
Publisher: Oxford University Press
ISBN: 0198570007
Category: Computers
Page: 274
View: 7941
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The authors provide an introduction to quantum computing. Aimed at advanced undergraduate and beginning graduate students in these disciplines, this text is illustrated with diagrams and exercises.

Theory of Random Sets


Author: Ilya Molchanov
Publisher: Springer
ISBN: 144717349X
Category: Mathematics
Page: 678
View: 9837
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This monograph, now in a thoroughly revised second edition, offers the latest research on random sets. It has been extended to include substantial developments achieved since 2005, some of them motivated by applications of random sets to econometrics and finance. The present volume builds on the foundations laid by Matheron and others, including the vast advances in stochastic geometry, probability theory, set-valued analysis, and statistical inference. It shows the various interdisciplinary relationships of random set theory within other parts of mathematics, and at the same time fixes terminology and notation that often vary in the literature, establishing it as a natural part of modern probability theory and providing a platform for future development. It is completely self-contained, systematic and exhaustive, with the full proofs that are necessary to gain insight. Aimed at research level, Theory of Random Sets will be an invaluable reference for probabilists; mathematicians working in convex and integral geometry, set-valued analysis, capacity and potential theory; mathematical statisticians in spatial statistics and uncertainty quantification; specialists in mathematical economics, econometrics, decision theory, and mathematical finance; and electronic and electrical engineers interested in image analysis.

Trade Policy and Economic Integration in the Middle East and North Africa

Economic Boundaries in Flux
Author: Hassan Hakimian,Jeffrey B. Nugent
Publisher: Psychology Press
ISBN: 9780415360296
Category: Business & Economics
Page: 296
View: 1383
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This book examines the impact of recent changes in the world economy on trade policy within the MENA region and its economic relations with the rest of the world.

Sets, Functions, and Logic

An Introduction to Abstract Mathematics, Third Edition
Author: Keith Devlin
Publisher: CRC Press
ISBN: 1482286025
Category: Mathematics
Page: 160
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Keith Devlin. You know him. You've read his columns in MAA Online, you've heard him on the radio, and you've seen his popular mathematics books. In between all those activities and his own research, he's been hard at work revising Sets, Functions and Logic, his standard-setting text that has smoothed the road to pure mathematics for legions of undergraduate students. Now in its third edition, Devlin has fully reworked the book to reflect a new generation. The narrative is more lively and less textbook-like. Remarks and asides link the topics presented to the real world of students' experience. The chapter on complex numbers and the discussion of formal symbolic logic are gone in favor of more exercises, and a new introductory chapter on the nature of mathematics--one that motivates readers and sets the stage for the challenges that lie ahead. Students crossing the bridge from calculus to higher mathematics need and deserve all the help they can get. Sets, Functions, and Logic, Third Edition is an affordable little book that all of your transition-course students not only can afford, but will actually read...and enjoy...and learn from. About the Author Dr. Keith Devlin is Executive Director of Stanford University's Center for the Study of Language and Information and a Consulting Professor of Mathematics at Stanford. He has written 23 books, one interactive book on CD-ROM, and over 70 published research articles. He is a Fellow of the American Association for the Advancement of Science, a World Economic Forum Fellow, and a former member of the Mathematical Sciences Education Board of the National Academy of Sciences,. Dr. Devlin is also one of the world's leading popularizers of mathematics. Known as "The Math Guy" on NPR's Weekend Edition, he is a frequent contributor to other local and national radio and TV shows in the US and Britain, writes a monthly column for the Web journal MAA Online, and regularly writes on mathematics and computers for the British newspaper The Guardian.

Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization


Author: Qamrul Hasan Ansari,C. S. Lalitha,Monika Mehta
Publisher: CRC Press
ISBN: 1439868212
Category: Business & Economics
Page: 280
View: 9815
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Until now, no book addressed convexity, monotonicity, and variational inequalities together. Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization covers all three topics, including new variational inequality problems defined by a bifunction. The first part of the book focuses on generalized convexity and generalized monotonicity. The authors investigate convexity and generalized convexity for both the differentiable and nondifferentiable case. For the nondifferentiable case, they introduce the concepts in terms of a bifunction and the Clarke subdifferential. The second part offers insight into variational inequalities and optimization problems in smooth as well as nonsmooth settings. The book discusses existence and uniqueness criteria for a variational inequality, the gap function associated with it, and numerical methods to solve it. It also examines characterizations of a solution set of an optimization problem and explores variational inequalities defined by a bifunction and set-valued version given in terms of the Clarke subdifferential. Integrating results on convexity, monotonicity, and variational inequalities into one unified source, this book deepens your understanding of various classes of problems, such as systems of nonlinear equations, optimization problems, complementarity problems, and fixed-point problems. The book shows how variational inequality theory not only serves as a tool for formulating a variety of equilibrium problems, but also provides algorithms for computational purposes.

Topological Fixed Point Principles for Boundary Value Problems


Author: J. Andres,Lech Górniewicz
Publisher: Springer Science & Business Media
ISBN: 9401704074
Category: Mathematics
Page: 761
View: 1641
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Reliability Theory and Practice


Author: Igor Bazovsky
Publisher: Courier Corporation
ISBN: 0486317633
Category: Mathematics
Page: 304
View: 1556
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Written by a pioneer of reliability methods, this text applies statistical mathematics to analysis of electrical, mechanical, and other systems employed in airborne, missile, and ground equipment. 1961 edition.