Mathematics
Set Theory


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The Theory of Numbers - Mathematical Monographs
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The Theory of Numbers - Mathematical Monographs
by Robert D Carmichael

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The purpose of this book is to give the reader a convenient introduction to the theory of numbers. The treatment is made as brief as is possible, consistent with clearness and is confined entirely to fundamental matters. Numerous problems are supplied...
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Axiomatic Set Theory
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Axiomatic Set Theory
by Patrick Suppes

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In one of the finest treatments for upper undergraduate and graduate level students, Professor Suppes presents axiomatic set theory: the basic paradoxes and history of set theory, and advanced topics such as relations and functions, equipollence, finite...
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Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents (Encyclopedia of Mathematics and Its Applications)
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Nonuniform Hyperbolicity: Dynamics of Systems with Nonzero Lyapunov Exponents (Encyclopedia of Mathematics and Its Applications)
by Luis Barreira

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This book presents the theory of dynamical systems with nonzero Lyapunov exponents, offering a rigorous mathematical foundation for deterministic chaos - the appearance of chaotic motions in pure deterministic dynamical systems. These ideas and methods...
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Joy of Sets 2ND Edition Fundamentals of Contempo
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Joy of Sets 2ND Edition Fundamentals of Contempo
by Keith Devlin

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This book provides an account of those parts of contemporary set theory that are relevant to other areas of pure mathematics. Intended for advanced undergraduates and beginning graduate students, the text is written in an easy-going style, with a minimum...
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Discovering Modern Set Theory Volume 2 Set T
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Discovering Modern Set Theory Volume 2 Set T
by Winfried Just

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The second in a two-volume text for a graduate course or self- study in set theory. Volume I would be the best prerequisite, but any background would suffice that supplied a basic naive and axiomatic knowledge of set theory, and some knowledge of...
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Cambridge Tracts in Mathematics #174: Forcing Idealized
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Cambridge Tracts in Mathematics #174: Forcing Idealized
by Jindrich Zapletal

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This book unites descriptive set theory and definable proper forcing and explores the relations between them. Both forcing and descriptive set theory are explained independently, their sub-areas described, following their commitment to each other...
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Topological Spaces  From Distance To Neighborhood (97 Edition)
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Topological Spaces From Distance To Neighborhood (97 Edition)
by Gerard Buskes

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gentle introduction to the subject, leading the reader to understand the notion of what is important in topology with regard to geometry. Divided into three sections - The line and the plane, Metric spaces and Topological spaces -, the book eases the...
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Georg Cantor: His Mathematics and Philosophy of the Infinite
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Georg Cantor: His Mathematics and Philosophy of the Infinite
by Joseph W. Dauben

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One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important studythe most thorough yet writtenof the philosopher and...
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Notes on Set Theory (2ND 94 Edition)
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Notes on Set Theory (2ND 94 Edition)
by Moschovakis

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The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. At the same time, it is often viewed as a foundation of mathematics so that in the most prevalent, current...
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Problems in Euclidean Space Problems in Euclidean Space: Application of Convexity Application of Convexity
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Problems in Euclidean Space Problems in Euclidean Space: Application of Convexity Application of Convexity
by H G Eggleston

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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...
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Oxford Logic Guides #0010: Cantorian Set Theory and Limitation of Size
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Oxford Logic Guides #0010: Cantorian Set Theory and Limitation of Size
by Michael Hallett

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Handbook of Measure Theory
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Handbook of Measure Theory
by

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The main goal of this Handbook is to survey measure theory with its many different branches and its relations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new...
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Design Considerations of Time in Fuzzy Systems
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Design Considerations of Time in Fuzzy Systems
by Jernej Virant

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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...
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Ordered Sets
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Ordered Sets
by Egbert Harzheim

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The textbook literature on ordered sets is still rather limited, so a lot of the material presented in this book is published for the first time in a textbook. Order theory works with combinatorial and set-theoretical methods, depending on whether the...
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An Introduction to Mathematical Reasoning
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An Introduction to Mathematical Reasoning
by Peter Eccles

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The purpose of this book is to introduce the basic ideas of mathematical proof and reasoning to students starting university mathematics....
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Proofs and Fundamentals : a First Course in Abstract Mathematics (00 Edition)
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Proofs and Fundamentals : a First Course in Abstract Mathematics (00 Edition)
by Ethan Bloch

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Written by an excellent expositor, this book introduces readers to the formal tools and language (proofs and fundamentals) of abstract mathematics. The carefully chosen material and extensive illustrative exercises help readers bridge the gap between...
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Problems and Theorems in Classical Set Theory (Problem Books in Mathematics)
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Problems and Theorems in Classical Set Theory (Problem Books in Mathematics)
by Peter Komjath

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This volume contains a variety of problems from classical set theory. Many of these problems are also related to other fields of mathematics, including algebra, combinatorics, topology and real analysis. The problems vary in difficulty, and are organized...
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The Banach-Tarski Paradox
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The Banach-Tarski Paradox
by Stan Wagon

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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...
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Set Theory an Introduction 2ND Edition
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Set Theory an Introduction 2ND Edition
by Robert L. Vaught

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Here is an excellent undergraduate level text on set theory written in a lively, interesting and good-humored style. This book corresponds to a view of the subject from someone who has thought deeply about this and many other aspects of mathematical...
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Set, Theory and Logic (79 Edition)
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Set, Theory and Logic (79 Edition)
by Robert R. Stoll

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Lucidly and gradually explains sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic...
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