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A Concise Introduction to Mathematical Logic 2010 Edition
Contributor(s): Rautenberg, Wolfgang (Author)

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 ISBN: 1441912207     ISBN-13: 9781441912206
Publisher: Springer
OUR PRICE: $80.74  

Binding Type: Paperback - See All Available Formats & Editions
Published: December 2009
Qty:

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Additional Information
BISAC Categories:
- Mathematics | Logic
- Computers | Computer Science
- Mathematics | Applied
Dewey: 511.3
LCCN: 2009932782
Series: Universitext
Physical Information: 0.8" H x 6.6" W x 9.4" L (1.25 lbs) 320 pages
Features: Bibliography, Illustrated, Index, Table of Contents
 
Descriptions, Reviews, Etc.
Publisher Description:
by Lev Beklemishev, Moscow The ?eld of mathematical logic evolving around the notions of logical validity, provability, and computation was created in the ?rst half of the previous century by a cohort of brilliant mathematicians and philosophers such as Frege, Hilbert, Godel, Turing, Tarski, Malcev, Gentzen, and some others. The development of this discipline is arguably among the highest achievements of science in the twentieth century: it expanded mat- matics into a novel area of applications, subjected logical reasoning and computability to rigorous analysis, and eventually led to the creation of computers. The textbook by Professor Wolfgang Rautenberg is a well-written - troduction to this beautiful and coherent subject. It contains classical material such as logical calculi, beginnings of model theory, and Godel s incompleteness theorems, as well as some topics motivated by appli- tions, such as a chapter on logic programming. The author has taken great care to make the exposition readable and concise; each section is accompanied by a good selection of exercises. A special word of praise is due for the author s presentation of Godel s second incompleteness theorem, in which the author has succeeded in giving an accurate and simple proof of the derivability conditions and the provable ? -completeness, a technically di?cult point that is usually 1 omittedintextbooksofcomparablelevel. Thisworkcanberecommended to all students who want to learn the foundations of mathematical logic."
 
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