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Cover image for Foundations of logic and mathematics : applications to computer science and cryptography
Title:
Foundations of logic and mathematics : applications to computer science and cryptography
Personal Author:
Publication Information:
Boston, MA : Birkh�auser, 2002
Physical Description:
xvi, 415 p. : ill. ; 26 cm.
ISBN:
9780817642495

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30000010205976 QA9 N54 2002 Open Access Book Book
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Summary

Summary

This modern introduction to the foundations of logic and mathematics not only takes theory into account, but also treats in some detail applications that have a substantial impact on everyday life (loans and mortgages, bar codes, public-key cryptography). A first college-level introduction to logic, proofs, sets, number theory, and graph theory, and an excellent self-study reference and resource for instructors.


Table of Contents

Preface
Outline
Part A Theory
0 Boolean Algebraic Logic
1 Logic and Deductive Reasoning
2 Set Theory
3 Induction, Recursion, Arithmetic, Cardinality
4 Decidability and Completeness
Part B Applications
5 Number Theory and Codes
6 Ciphers, Combinatorics, and Probabilities
7 Graph Theory
Bibliography
Index
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