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Set Theory


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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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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
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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Philosophical Introduction to Set Theory (Dover Books on Mathematics)
Philosophical Introduction to Set Theory (Dover Books on Mathematics)
by Stephen Pollard
Publisher Comments
The primary mechanism for ideological and theoretical unification in modern mathematics, set theory forms an essential element of any comprehensive treatment of the philosophy of mathematics. This unique approach to set theory offers a technically... (read more)

Available July 2015
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Combinatorics of Finite Sets (Dover Books on Mathematics)
Combinatorics of Finite Sets (Dover Books on Mathematics)
by Ian Anderson
Publisher Comments
Coherent treatment provides comprehensive view of basic methods and results of the combinatorial study of finite set systems. The Clements-Lindstrom extension of the Kruskal-Katona theorem to multisets is explored, as is the Greene-Kleitman result... (read more)

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Foundations of Mathematics in the Theory of Sets
Foundations of Mathematics in the Theory of Sets
by John P. Mayberry
Publisher Comments
This unified approach to the foundations of mathematics in the theory of sets covers both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of... (read more)

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Problems in Euclidean Space Problems in Euclidean Space: Application of Convexity Application of Convexity
Problems in Euclidean Space Problems in Euclidean Space: Application of Convexity Application of Convexity
by H G Eggleston
Publisher Comments
This text for advanced undergraduates and graduate students examines problems concerning convex sets in real Euclidean spaces of 2 or 3 dimensions. It illustrates the different ways in which convexity can enter into the formulation as the solution to... (read more)

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Oxford Logic Guides #0010: Cantorian Set Theory and Limitation of Size
Oxford Logic Guides #0010: Cantorian Set Theory and Limitation of Size
by Michael Hallett
Publisher Comments
Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity. The philosophical and heuristic framework he developed had a lasting effect on modern mathematics, and is the recurrent theme of this... (read more)

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Design Considerations of Time in Fuzzy Systems
Design Considerations of Time in Fuzzy Systems
by Jernej Virant
Publisher Comments
This book is outstanding for several reasons: it observes the role of time in fuzzy proposition calculations, provides calculation error analysis for small density of inference processing and gives numerous examples of fuzzy sets and systems programming... (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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An Introduction to Mathematical Reasoning
An Introduction to Mathematical Reasoning
by Peter Eccles
Publisher Comments
This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that... (read more)

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The Banach-Tarski Paradox
The Banach-Tarski Paradox
by Stan Wagon
Publisher Comments
This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, and logic. It unifies the results of contemporary research on the paradox and presents several new results including some unusual... (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 J. 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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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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Seaweed Soup (Mathstart: Level 1)
Seaweed Soup (Mathstart: Level 1)
by Stuart J Murphy
Publisher Comments
Activites Activities In "Seaweed Soup, the math concept presented is matching sets, or one-to-one correspondence. Understanding sets is an important step in counting, understanding more than/less than, and learning about patterns and relationships. If... (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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Set Theory for the Working Mathematician
Set Theory for the Working Mathematician
by Krzysztof Ciesielski
Publisher Comments
This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The author describes numerous applications in abstract geometry and real analysis and, in some cases, in topology and algebra. The book... (read more)

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Axiomatic Set Theory (72 Edition)
Axiomatic Set Theory (72 Edition)
by Patrick 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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