Foundations of Logic and Mathematics - Yves Nievergelt

Foundations of Logic and Mathematics

Applications to Computer Science and Cryptography

(Autor)

Buch | Softcover
415 Seiten
2012
Springer-Verlag New York Inc.
978-1-4612-6623-5 (ISBN)
53,49 inkl. MwSt
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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.

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.

Zusatzinfo XVI, 415 p.
Verlagsort New York
Sprache englisch
Maße 178 x 254 mm
Themenwelt Informatik Theorie / Studium Kryptologie
Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Logik / Mengenlehre
ISBN-10 1-4612-6623-8 / 1461266238
ISBN-13 978-1-4612-6623-5 / 9781461266235
Zustand Neuware
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