foundations logic mathematics applications von nievergelt yves (8 Ergebnisse)

Zustand: Good. Ships from the UK. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages.

Hardcover/Pappeinband. Zustand: Wie neu. XVI, 415 p. Like new. Shrink wrapped. / Wie neu. In Folie verschweißt. Sprache: Englisch Gewicht in Gramm: 1040.

Zustand: Very Good. Used book that is in excellent condition. May show signs of wear or have minor defects.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This text for the first or second year undergraduate in mathematics, logic, computer science, or social sciences, introduces the reader to logic, proofs, sets, and number theory. It also serves as an excellent independent study reference and resource for instructors. Adapted from Foundations of Logic and Mathematics: Applications to Science and Cryptography 2002 Birkh user, this second edition provides a modern introduction to the foundations of logic, mathematics, and computers science, developing the theory that demonstrates construction of all mathematics and theoretical computer science from logic and set theory. The focuses is on foundations, with specific statements of all the associated axioms and rules of logic and set theory, and provides complete details and derivations of formal proofs. Copious references to literature that document historical development is also provided.Answers are found to many questions that usually remain unanswered: Why is the truth table for logical implication so unintuitive Why are there no recipes to design proofs Where do these numerous mathematical rules come from What issues in logic, mathematics, and computer science still remain unresolved And the perennial question: In what ways are we going to use this material Additionally, the selection of topics presented reflects many major accomplishments from the twentieth century and includes applications in game theory and Nash's equilibrium, Gale and Shapley's match making algorithms, Arrow's Impossibility Theorem in voting, to name a few. From the reviews of the first edition:'.All the results are proved in full detail from first principles.remarkably, the arithmetic laws on the rational numbers are proved, step after step, starting from the very definitions!.This is a valuable reference text and a useful companion for anybody wondering how basic mathematical concepts can be rigorously developed within set theory.'-MATHEMATICAL REVIEWS 'Rigorous and modern in its theoretical aspect, attractive as a detective novel in its applied aspects, this paper book deserves the attention of both beginners and advanced students in mathematics, logic and computer sciences as well as in social sciences.'-Zentralblatt MATH.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.

Zustand: New. In.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This text for the first or second year undergraduate in mathematics, logic, computer science, or social sciences, introduces the reader to logic, proofs, sets, and number theory. It also serves as an excellent independent study reference and resource for instructors. Adapted from Foundations of Logic and Mathematics: Applications to Science and Cryptography 2002 Birkh user, this second edition provides a modern introduction to the foundations of logic, mathematics, and computers science, developing the theory that demonstrates construction of all mathematics and theoretical computer science from logic and set theory. The focuses is on foundations, with specific statements of all the associated axioms and rules of logic and set theory, and provides complete details and derivations of formal proofs. Copious references to literature that document historical development is also provided.Answers are found to many questions that usually remain unanswered: Why is the truth table for logical implication so unintuitive Why are there no recipes to design proofs Where do these numerous mathematical rules come from What issues in logic, mathematics, and computer science still remain unresolved And the perennial question: In what ways are we going to use this material Additionally, the selection of topics presented reflects many major accomplishments from the twentieth century and includes applications in game theory and Nash's equilibrium, Gale and Shapley's match making algorithms, Arrow's Impossibility Theorem in voting, to name a few. From the reviews of the first edition:'.All the results are proved in full detail from first principles.remarkably, the arithmetic laws on the rational numbers are proved, step after step, starting from the very definitions!.This is a valuable reference text and a useful companion for anybody wondering how basic mathematical concepts can be rigorously developed within set theory.'-MATHEMATICAL REVIEWS 'Rigorous and modern in its theoretical aspect, attractive as a detective novel in its applied aspects, this paper book deserves the attention of both beginners and advanced students in mathematics, logic and computer sciences as well as in social sciences.'-Zentralblatt MATH.

Paperback. Zustand: Brand New. 2nd edition. 391 pages. 9.25x6.10x0.95 inches. In Stock.