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Set Theory


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Studies in Computational Intelligence #145: Partial Covers, Reducts and Decision Rules in Rough Sets: Theory and Applications
Studies in Computational Intelligence #145: Partial Covers, Reducts and Decision Rules in Rough Sets: Theory and Applications
by Mikhail Ju Moshkov
Synopsis
This book covers the theoretical and experimental study of partial reducts and partial decision rules on the basis of the study of partial covers. It details the results of numerous experiments with randomly generated and real-life decision tables.... (read more)

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Combinatorics of Finite Sets (Dover Books on Mathematics)
Combinatorics of Finite Sets (Dover Books on Mathematics)
by Ian Anderson
Synopsis
Among other subjects explored are the Clements-Lindström extension of the Kruskal-Katona theorem to multisets and the Greene-Kleitmen result concerning k-saturated chain partitions of general partially ordered sets. Includes exercises and... (read more)

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Monographs and Research Notes in Mathematics #2: Set Theoretical Aspects of Real Analysis
Monographs and Research Notes in Mathematics #2: Set Theoretical Aspects of Real Analysis
by Alexander B. Kharazishvili
Book News Annotation
Kharazishvili addresses a circle of questions in real analysis and classical measure theory that have somewhat the flavor of set theory. Among them are countable versions of axiom of choice and real analysis, a partition of the real line into a... (read more)

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Cambridge Studies in Advanced Mathematics #83: Lectures in Logic and Set Theory: Volume 2, Set Theory
Cambridge Studies in Advanced Mathematics #83: Lectures in Logic and Set Theory: Volume 2, Set Theory
by George Tourlakis
Publisher Comments
Volume II, on formal (ZFC) set theory, incorporates a self-contained "chapter 0" on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques provides a solid foundation in set theory and a thorough... (read more)

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Chapman Hall/CRC Mathematics #28: A Concise Introduction to Pure Mathematics, Third Edition
Chapman Hall/CRC Mathematics #28: A Concise Introduction to Pure Mathematics, Third Edition
by Martin Liebeck
Publisher Comments
Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Third Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material... (read more)

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Selectors
Selectors
by John E. Jayne
Publisher Comments
Though the search for good selectors dates back to the early twentieth century, selectors play an increasingly important role in current research. This book is the first to assemble the scattered literature into a coherent and elegant presentation of... (read more)

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Abstract and Concrete Categories: The Joy of Cats
Abstract and Concrete Categories: The Joy of Cats
by Jiri Adamek
Synopsis
This up-to-date introductory treatment employs category theory to explore the theory of structures. Its unique approach stresses concrete categories and presents a systematic view of factorization structures. Numerous examples. 1990 edition, updated 2004.... (read more)

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Inner Models and Large Cardinals (De Gruyter Series in Logic and Its Applications, #5)
Inner Models and Large Cardinals (De Gruyter Series in Logic and Its Applications, #5)
by Martin Zeman
Synopsis
This volume is an introduction to inner model theory, an area of set theory which is concerned with fine structural inner models reflecting large cardinal properties of the set theoretic universe. The monograph contains a detailed presentation of general... (read more)

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Set Theory: An Introduction
Set Theory: An Introduction
by R. I. Vaught
Publisher Comments
An excellent undergraduate text on set theory that could be used in courses taught in mathematics and philosophy departments. The intuitive development in the first chapters also makes the book suitable for self study.... (read more)

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Set, Theory and Logic (79 Edition)
Set, Theory and Logic (79 Edition)
by Robert R. Stoll
Publisher Comments
Set Theory and Logic is the result of a course of lectures for advanced undergraduates, developed at Oberlin College for the purpose of introducing students to the conceptual foundations of mathematics. Mathematics, specifically the real number system... (read more)

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Studies in Fuzziness and Soft Computing #35: Intuitionistic Fuzzy Sets: Theory and Applications
Studies in Fuzziness and Soft Computing #35: Intuitionistic Fuzzy Sets: Theory and Applications
by Krassimir T. Atanassov
Publisher Comments
The basic definitions and properties of the Intuitionistic Fuzzy Sets (IFSs) are introduced in the book. The IFSs are substantial extensions of the ordinary fuzzy sets. IFSs are objects having degrees of membership and of non-membership, such that their... (read more)

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Outline of Set Theory
Outline of Set Theory
by James M. Henle
Publisher Comments
This book is an innovative problem-oriented introduction to undergraduate set theory. It is intended to be used in a course in which the students work in groups on projects and present their solutions to the class. Students completing such a course come... (read more)

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Partial Covers, Reducts and Decision Rules in Rough Sets
Partial Covers, Reducts and Decision Rules in Rough Sets
by Mikhail Ju Moshkov
Publisher Comments
This monograph is devoted to theoretical and experimental study of partial reducts and partial decision rules on the basis of the study of partial covers. The use of partial (approximate) reducts and decision rules instead of exact ones allows us to... (read more)

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Axiomatic Set Theory
Axiomatic Set Theory
by Patrick Colo Suppes
Publisher Comments
This clear and well-developed approach to axiomatic set theory is geared toward upper-level undergraduates and graduate students. It examines the basic paradoxes and history of set theory and advanced topics such as relations and functions... (read more)

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Introduction to the Theory of Sets
Introduction to the Theory of Sets
by Joseph Breuer
Publisher Comments
Set theory permeates much of contemporary mathematical thought. This text for undergraduates offers a natural introduction, developing the subject through observations of the physical world. Its progressive development leads from concrete finite sets to... (read more)

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Set Theory
Set Theory
by Kenneth Kunen
Publisher Comments
This book is designed for readers who knowelementary mathematical logic and axiomatic settheory, and who want to learn more about set theory.The primary focus of the book is on the independenceproofs. Most famous among these is the independenceof the... (read more)

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Set Theory with a Universal Set: Exploring an Untyped Universe (Oxford Science Publications)
Set Theory with a Universal Set: Exploring an Untyped Universe (Oxford Science Publications)
by T. E. Forster
Review
"...a lively introduction to the current research..."--Modern Logic "The best survey of its field available, with an excellent bibliography."--Journal of Symbolic Logic... (read more)

Your price: $172.50
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Naive Set Theory
Naive Set Theory
by Paul R. Halmos
Publisher Comments
2011 Reprint of 1960 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Paul Richard Halmos (1916-2006) was a Hungarian-born American mathematician who made fundamental advances in the areas of probability... (read more)

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Set Theory for Computing: From Decision Procedures to Declarative Programming with Sets (Monographs in Computer Science)
Set Theory for Computing: From Decision Procedures to Declarative Programming with Sets (Monographs in Computer Science)
by Domenico Cantone
Publisher Comments
An up-to-date and comprehensive account of set-oriented symbolic manipulation and automated reasoning methods. This book is of interest to graduates and researchers in theoretical computer science and computational logic and automated reasoning.... (read more)

Your price: $190.25
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A Set Theory Workbook
A Set Theory Workbook
by Iain Adamson
Review
"An unconventional approach to the basic course in set theory... The material...can serve as the text for a one-semester course or as a supplement to a larger course... Presents basic definitions and exercises [and] provides solutions to given examples... (read more)

Your price: $108.50
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