Course of Mathematical Logic, David Louvish; R. Fra?ss?

Автор: Srivastava S M
Название: Course on Mathematical Logic
ISBN: 1461457459 ISBN-13(EAN): 9781461457459
Издательство: Springer
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Цена: 8384.00 р.
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Описание: This extensively revised new edition of the concise introductory text on mathematical logic retains its numerous exercises and applications, but now has a fresh chapter on model theory and new section on topics such as definability and quantifier eliminations.

Автор: David Louvish; R. Fra?ss?
Название: Course of Mathematical Logic
ISBN: 9027705100 ISBN-13(EAN): 9789027705105
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book is addressed primarily to researchers specializing in mathemat- ical logic. It may also be of interest to students completing a Masters Degree in mathematics and desiring to embark on research in logic, as well as to teachers at universities and high schools, mathematicians in general, or philosophers wishing to gain a more rigorous conception of deductive reasoning. The material stems from lectures read from 1962 to 1968 at the Faculte des Sciences de Paris and since 1969 at the Universities of Provence and Paris-VI. The only prerequisites demanded of the reader are elementary combinatorial theory and set theory. We lay emphasis on the semantic aspect of logic rather than on syntax; in other words, we are concerned with the connection between formulas and the multirelations, or models, which satisfy them. In this context considerable importance attaches to the theory of relations, which yields a novel approach and algebraization of many concepts of logic. The present two-volume edition considerably widens the scope of the original French] one-volume edition (1967: Relation, Formule logique, Compacite, Completude). The new Volume 1 (1971: Relation et Formule logique) reproduces the old Chapters 1, 2, 3, 4, 5 and 8, redivided as follows: Word, formula (Chapter 1), Connection (Chapter 2), Relation, operator (Chapter 3), Free formula (Chapter 4), Logicalformula, denumer- able-model theorem (L6wenheim-Skolem) (Chapter 5), Completeness theorem (G6del-Herbrand) and Interpolation theorem (Craig-Lyndon) (Chapter 6), Interpretability of relations (Chapter 7).

Автор: Michael L. O?€?Leary
Название: A First Course in Mathematical Logic and Set Theory
ISBN: 0470905883 ISBN-13(EAN): 9780470905883
Издательство: Wiley
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Цена: 15357.00 р.
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Описание: Rather than teach mathematics and the structure of proofssimultaneously, this book first introduces logic as the foundationof proofs and then demonstrates how logic applies to mathematicaltopics. This method ensures that readers gain a firmunderstanding of how logic interacts with mathematics and empowersthem to solve more complex problems.

Автор: Church, Alonzo
Название: Introduction to mathematical logic
ISBN: 0691029067 ISBN-13(EAN): 9780691029061
Издательство: Wiley
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Цена: 12989.00 р.
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Описание: Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church`s contributions to number theory and theories of algorithms and computability laid the theoretical foundations of computer science. This book is a basic source for understanding formal logic.