What is Mathematical Logic? (Dover Books on Mathematics)

C. J. Ash,Crossley, J. N.,C. J. Brickhill,J. C. Stillwell,N. H. Williams

ISBN 10: 0486264041 / ISBN 13: 9780486264042

Published by Dover Publications, 2010

About this Item

Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority!

Seller Inventory # S_452312780

Bibliographic Details

• Title: What is Mathematical Logic? (Dover Books on Mathematics)
• Publisher: Dover Publications
• Publication Date: 2010
• Language: English
• ISBN 10: 0486264041
• ISBN 13: 9780486264042
• Binding: paperback
• Condition: Very Good

About this title

Synopsis

Although mathematical logic can be a formidably abstruse topic, even for mathematicians, this concise book presents the subject in a lively and approachable fashion. It deals with the very important ideas in modern mathematical logic without the detailed mathematical work required of those with a professional interest in logic.
The book begins with a historical survey of the development of mathematical logic from two parallel streams: formal deduction, which originated with Aristotle, Euclid, and others; and mathematical analysis, which dates back to Archimedes in the same era. The streams began to converge in the seventeenth century with the invention of the calculus, which ultimately brought mathematics and logic together. The authors then briefly indicate how such relatively modern concepts as set theory, Gödel's incompleteness theorems, the continuum hypothesis, the Löwenheim-Skolem theorem, and other ideas influenced mathematical logic.
The ideas are set forth simply and clearly in a pleasant style, and despite the book's relative brevity, there is much covered on these pages. Nonmathematicians can read the book as a general survey; students of the subject will find it a stimulating introduction. Readers will also find suggestions for further reading in this lively and exciting area of modern mathematics.

About the Author

This volume's six chapters are edited versions of a series of lectures delivered at Australia's Monash University by five individuals: J. N. Crossley, C. J. Ash, C. J. Brickhill, J. C. Stillwell, and N. H. Williams.