A Friendly Introduction to Mathematical Logic

The text is designed to be used either in an upper division undergraduate classroom, or for self study.

A Friendly Introduction to Mathematical Logic

A Friendly Introduction to Mathematical Logic

At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Godel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.

More Books:

A Friendly Introduction to Mathematical Logic
Language: en
Pages: 365
Authors: Christopher C. Leary, Lars Kristiansen
Categories: Education
Type: BOOK - Published: 2015 - Publisher: Lulu.com

At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The
Introduction to Mathematical Logic, Fourth Edition
Language: en
Pages: 440
Authors: Elliott Mendelson
Categories: Mathematics
Type: BOOK - Published: 1997-06-01 - Publisher: CRC Press

The Fourth Edition of this long-established text retains all the key features of the previous editions, covering the basic topics of a solid first course in mathematical logic. This edition includes an extensive appendix on second-order logic, a section on set theory with urlements, and a section on the logic
An Introduction to Gödel's Theorems
Language: en
Pages: 361
Authors: Peter Smith
Categories: Mathematics
Type: BOOK - Published: 2007-07-26 - Publisher: Cambridge University Press

Peter Smith examines Gödel's Theorems, how they were established and why they matter.
The KAM Story
Language: en
Pages: 380
Authors: H Scott Dumas
Categories: Mathematics
Type: BOOK - Published: 2014-02-28 - Publisher: World Scientific Publishing Company

This is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM theory, and scientific-minded readers. Parts of the book should also appeal to less mathematically trained readers with an interest in the history
A User-friendly Introduction to Discrete Mathematics for Computer Science
Language: en
Pages: 304
Authors: Willem Labuschagne
Categories: Computer science
Type: BOOK - Published: 1993 - Publisher: Unisa Press

What mathematical skills do you need to understand computers and the problems they can solve? This book introduces the basic ideas of set theory, logic and combinatorics. Intended for those who work alone and whose experiences of mathematics have in the past perhaps been somewhat intimidating, the book adopts an

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