The purpose of this book is to provide the student beginning undergraduate mathematics with a solid foundation in the basic logical concepts necessary for most of the subjects encountered in a university mathematics course. The main distinction between most school mathematics and university mathematics lies in the degree of rigour demanded at university level. In general, the new student has no experience of wholly rigorous definitions and proofs, with the result that, although competent to handle quite difficult problems in, say, the differential calculus, he/she is totally lost when presented with a rigorous definition oflimits and derivatives. In effect, this means that in the first few weeks at university the student needs to master what is virtually an entire new language {'the language of mathematics'} and to adopt an entirely new mode ofthinking. Needless to say, only the very ablest students come through this process without a great deal of difficulty.

Sets, Functions and Logic: Basic concepts of university mathematics

Science & Math

Devlin, Keith J.

Mathematics

Springer

Infosense: Turning Information Into Knowledge

<p>A guide to managing information in a commercial environment demonstrates a systems approach to minimizing misunderstandings and maximizing the utilization of knowledge</p>

Infosense: Turning Information into Knowledge

Computers & Technology

W.H.Freeman & Co.

<p>Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the sixth publication in the Perspectives in Logic series, Keith J. Devlin gives a comprehensive account of the theory of constructible sets at an advanced level. The book provides complete coverage of the theory itself, rather than the many and diverse applications of constructibility theory, although applications are used to motivate and illustrate the theory. The book is divided into two parts: Part I (Elementary Theory) deals with the classical definition of the Lα-hierarchy of constructible sets and may be used as the basis of a graduate course on constructibility theory. and Part II (Advanced Theory) deals with the Jα-hierarchy and the Jensen 'fine-structure theory'.</p>

Constructibility (Perspectives in Logic, Series Number 6)

Cambridge University Press

This treatise is intended to provide an account of those parts of contemporary set theory that are relevant to other areas of pure mathematics. Aimed at advanced undergraduates and beginning graduate students, the text is written in an easy-going style, with a minimum of formalism. The book begins with a review of "naive" set theory. It then develops the Zermelo-Fraenkel axioms of the theory, showing how they arise naturally. After discussing the ordinal and cardinal numbers, the book then delves into contemporary set theory, covering such topics as: the Borel hierarchy, stationary sets and regressive functions, and Lebesgue measure. Two chapters present an extension of the Zermelo-Fraenkel theory, discussing the axiom of constructibility and the question of probability in set theory. A final chapter presents an account of an alternative concept of set theory that has proved useful in computer science, the non-well-founded set theory of Peter Aczel.

The joy of sets: Fundamentals of contemporary set theory (Undergraduate texts in mathematics)

Springer, Verlag

See the best price to sell, buy, or rent books by Devlin, Keith J.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Devlin, Keith J.

See the best price to sell, buy, or rent books by Devlin, Keith J.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Sets, Functions and Logic: Basic concepts of university mathematics

Infosense: Turning Information into Knowledge

Constructibility (Perspectives in Logic, Series Number 6)

The joy of sets: Fundamentals of contemporary set theory (Undergraduate texts in mathematics)