عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781461201250
(Number (ISBN
9781461266235
NATIONAL BIBLIOGRAPHY NUMBER
Number
b402637
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Foundations of Logic and Mathematics
General Material Designation
[Book]
Other Title Information
Applications to Computer Science and Cryptography /
First Statement of Responsibility
by Yves Nievergelt.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boston, MA :
Name of Publisher, Distributor, etc.
Imprint: Birkhäuser,
Date of Publication, Distribution, etc.
2002.
CONTENTS NOTE
Text of Note
A Theory -- 0 Boolean Algebraic Logic -- 1 Logic and Deductive Reasoning -- 2 Set Theory -- 3 Induction, Recursion, Arithmetic, Cardinality -- 4 Decidability and Completeness -- B Applications -- 5 Number Theory and Codes -- 6 Ciphers, Combinatorics, and Probabilities -- 7 Graph Theory.
0
SUMMARY OR ABSTRACT
Text of Note
This modem introduction to the foundations of logic, mathematics, and computer science answers frequent questions that mysteriously remain mostly unanswered in other texts: - Why is the truth table for the logical implication so unintuitive? - Why are there no recipes to design proofs? - Where do these numerous mathematical rules come from? - What are the applications of formal logic and abstract mathematics? - What issues in logic, mathematics, and computer science still remain unresolved? Answers to such questions must necessarily present both theory and significant applica tions, which explains the length of the book. The text first shows how real life provides some guidance for the selection of axioms for the basis of a logical system, for instance, Boolean, classical, intuitionistic, or minimalistic logic. From such axioms, the text then derives de tailed explanations of the elements of modem logic and mathematics: set theory, arithmetic, number theory, combinatorics, probability, and graph theory, with applications to computer science. The motivation for such detail, and for the organization of the material, lies in a continuous thread from logic and mathematics to their uses in everyday life.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781461266235
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Data encryption (Computer science).
Logic, Symbolic and mathematical.
Mathematics.
Number theory.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Nievergelt, Yves.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190301082100.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
