Foundations of Logic and Mathematics (e-bog) af Nievergelt, Yves
Nievergelt, Yves (forfatter)

Foundations of Logic and Mathematics e-bog

436,85 DKK (inkl. moms 546,06 DKK)
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 abstra...
E-bog 436,85 DKK
Forfattere Nievergelt, Yves (forfatter)
Forlag Birkhauser
Udgivet 6 december 2012
Genrer GPJ
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9781461201250
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.