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The aim of this book is to provide an exposition of elementary formal logic. The course, which is primarily intended for......more
When originally published, this text was the first general account of Hausdorff measures, a subject that has important a......more
By virtue of the close relationship between logic and relational databases, it turns out that complexity has important a......more
The second volume of this work contains Parts 2 and 3 of the "Handbook of Coding Theory". Part 2, "Connections", is devo......more
This book introduces the reader to the general theory of partially ordered sets, i.e., posets. The text is presented in ......more
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Many students in mathematics, statistics, finance, business, and engineering need an introduction to measure theory. Thi......more
Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, there’s Schaum’s Outlines. More than 40 mill......more
This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. T......more
A Course on Borel sets provides a thorough introduction to Borel sets and measurable selections and acts as a stepping s......more
During the past 25 years, set theory has developed in several interesting directions. The most outstanding results cover......more
This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing pr......more
This book is a companion to A general topology workbook published by Birkhiiuser last year. In an ideal world the order ......more
Ein lebendig und präzise geschriebenes Lehrbuch zu Lebesgue-Ma und Lebesgue-Integration, das sehr ins Detail geht und vi......more
This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The......more
This text presents methods of modern set theory as tools that can be usefully applied to other areas of mathematics. The......more
The present book is a monograph including some recent results of mea- sure and integration theory. It concerns three mai......more
This volume provides the first general introduction to optimality theory -- arguably the linguistic theory of the 1990s.......more
This book is designed to help anyone understand the basics of fuzzy sets, whether or not they have a mathematical backgr......more
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Sperner s theorem stimulated the development of a fast-growing theory dealing with external problems on finite sets and,......more
In this monograph, questions of extensions and relaxations are consid- ered. These questions arise in many applied probl......more
Set Theory and the Continuum Problem is a novel introduction to set theory, including axiomatic development, consistency......more
Chinese Remainder Theorem, CRT, is one of the jewels of mathematics. It is a perfect combination of beauty and utility o......more
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Circular analyses of philosophical, linguistic, or computational phenomena have been attacked on the assumption that the......more
Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work ......more
The purpose of this book is to provide the reader who is interested in applications of fuzzy set theory, in the first pl......more
This book presents articles of L.V. Kantorovich on the descriptive theory of sets and function and on functional analysi......more
The fundamental ideas concerning computation and recursion naturally find their place at the interface between logic and......more
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Increasing interest in set theory, particularly the possibility of a set of all sets ("universal set"), has been stimula......more
This research level monograph reflects the current state of the field and provides a reference for graduate students ent......more
The concept of infinity is one of the most important, and at the same time, one of the most mysterious concepts of scien......more
This introduction to mathematical logic takes G del s incompleteness theorem as a starting point. It goes beyond a stand......more
Here is an excellent undergraduate level text on set theory written in a lively, interesting and good-humored style. Thi......more
This book should be of interest to statistics lecturers who want ready-made data sets complete with notes for teaching....more
This new edition has been completely rewritten; it includes a new chapter on non-well-founded set theory, a subject of c......more
Presented in this monograph is the current state-of-the-art in the theory of convex structures. The notion of convexity ......more
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1988 marked the first centenary of Recursion Theory, since Dedekind’s 1888 paper on the nature of number. Now available ......more
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One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfin......more
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Many of the modern variational problems in topology arise in different but overlapping fields of scientific study: mecha......more
Investigations by Baire, Lebesgue, Hausdorff, Marczewski, and othes have culminated invarious schemes for classifying po......more
Cantor’s ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity. The p......more
Extensively revised, this popular book now contains a 30-page chapter on the important topic of iterated Boolean extensi......more
Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offe......more
Set Theory and Logic is the result of a course of lectures for advanced undergraduates, developed at Oberlin College for......more
This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set......more
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