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The Mathematics of Infinityby Theodore G. Faticoni
John Wiley & Sons 2012; US$ 79.95Praise for the First Edition ". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews ". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."—Choice The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The Mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Continuing to draw from his extensive work on the subject, the author provides a user-friendly... more...
Sets for Mathematicsby F. William Lawvere; Robert Rosebrugh
Cambridge University Press 2003; US$ 50.00For the first time in a textbook, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra. Starting with intuitive descriptions of mathematically and physically common phenomena, it leads up to a precise specification of the Category of Sets. Suitable for advanced undergraduates and beginning graduate students. more...
Beschreibung und Analyse unscharfer Informationby Reinhard K. W. Viertl; Dietmar Hareter
Springer 2006; US$ 69.95Datenqualität, Genauigkeit bzw. Ungenauigkeit von Daten und anderen Informationen sind grundlegende Aspekte von Messungen und Beobachtungen, die quantitativ beschrieben werden müssen, um unrealistische Resultate von Analysen zu vermeiden. In vielen praktischen Anwendungen erscheint die Angabe reeller Zahlen als vorliegende Datenelemente fragwürdig. more...
The Covering Property Axiom, CPAby Krzysztof Ciesielski; Janusz Pawlikowski; B. Bollobas; W. Fulton; A. Katok; F. Kirwan; P. Sarnak; B. Simon
Cambridge University Press 2004; US$ 90.00This book explores a new axiom of set theory, CPA, the Covering Property Axiom. Replacing iterated forcing arguments with deductions from CPA simplifies proofs, provides deeper insight, and leads to new results. Researchers who use set theory in their work will find much of interest in this book. more...
The Mathematics of Infinityby Theodore G. Faticoni
John Wiley & Sons, Inc. 2006; US$ 117.00A balanced and clearly explained treatment of infinity in mathematics. The concept of infinity has fascinated and confused mankind for centuries with concepts and ideas that cause even seasoned mathematicians to wonder. For instance, the idea that a set is infinite if it is not a finite set is an elementary concept that jolts our common sense and imagination. the Mathematics of Infinity: A guide to Great Ideas uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Writing with clear knowledge and affection for the subject, the author introduces and explores infinite sets, infinite cardinals, and ordinals, thus challenging the readers' intuitive beliefs about infinity. Requiring... more...
Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Normsby Erich Peter Klement; Radko Mesiar
Elsevier 2005; US$ 205.00This volume gives a state of the art of triangular norms which can be used for the generalization of several mathematical concepts, such as conjunction, metric, measure, etc. 16 chapters written by leading experts provide a state of the art overview of theory and applications of triangular norms and related operators in fuzzy logic, measure theory, probability theory, and probabilistic metric spaces. Key Features: - Complete state of the art of the importance of triangular norms in various mathematical fields - 16 self-contained chapters with extensive bibliographies cover both the theoretical background and many applications - Chapter authors are leading authorities in their fields - Triangular norms on different domains (including discrete,... more...
Classes of Modulesby Yiqiang Zhou
Taylor & Francis 2006; US$ 89.95Developing the foundations and tools for the next generation of ring and module theory, this book shows how to achieve positive results by placing restrictive hypotheses on a small subset of the complement submodules. It explains the existence of various direct sum decompositions merely as special cases of type direct sum decompositions. more...
Advances in Fuzzy Clustering and its Applicationsby Jose Valente de Oliveira; Witold Pedrycz
John Wiley & Sons, Ltd. 2007; US$ 137.00A comprehensive, coherent, and in depth presentation of the state of the art in fuzzy clustering . Fuzzy clustering is now a mature and vibrant area of research with highly innovative advanced applications. Encapsulating this through presenting a careful selection of research contributions, this book addresses timely and relevant concepts and methods, whilst identifying major challenges and recent developments in the area. Split into five clear sections, Fundamentals, Visualization, Algorithms and Computational Aspects, Real-Time and Dynamic Clustering, and Applications and Case Studies, the book covers a wealth of novel, original and fully updated material, and in particular offers: a focus on the algorithmic and computational augmentations... more...
Computational Intelligence, Theory and Applicationsby Bernd Reusch
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 259.00Constitutes the refereed proceedings of the 8th Dortmund Fuzzy Days, held in Dortmund, Germany, 2004. The papers are devoted to foundational and practical issues in fuzzy systems, neural networks, evolutionary algorithms, and machine learning, and thus cover the range of computational intelligence. more...
Fuzzy Modeling with Spatial Information for Geographic Problemsby Frederick E. Petry; Vincent B. Robinson; Maria A. Cobb
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 209.00Focuses on research advances in approaches for incorporating explicit handling of uncertainty, especially by fuzzy sets, to address geographic problems. This book includes examples of the use of fuzzy sets in representational issues such as terrain features, landscape morphology, spatial extents and approaches for spatial interpolation. more...









