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Logic

Most popular at the top

  • Introduction to Logicby Patrick Suppes

    Dover Publications 2012; US$ 18.95

    Part I of this coherent, well-organized text deals with formal principles of inference and definition. Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions. Ideal for undergraduates. more...

  • Introduction to Proof in Abstract Mathematicsby Andrew Wohlgemuth

    Dover Publications 2014; US$ 19.95

    The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. The self-contained treatment features many exercises, problems,... more...

  • On Formally Undecidable Propositions of Principia Mathematica and Related Systemsby Kurt Gödel

    Dover Publications 2012; US$ 8.95

    In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle. Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It... more...

  • Foundations and Fundamental Concepts of Mathematicsby Howard Eves

    Dover Publications 2012; US$ 16.95

    Third edition of popular undergraduate-level text offers historic overview, readable treatment of mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more. Problems, some with solutions. Bibliography. more...

  • The Philosophy of Mathematicsby Auguste Comte

    Dover Publications 2013; US$ 39.99

    Written by the nineteenth-century French philosophical founder of positivism, this comprehensive map of mathematical science assigns to each part of the complex whole its true position and value. The two-part treatment begins with a general view of mathematical analysis and advances to algebra, continuing with an exploration of geometry's ancient... more...

  • On the Study and Difficulties of Mathematicsby Augustus De Morgan

    Dover Publications 2014; US$ 57.50

    One of the twentieth century's most eminent mathematical writers, Augustus De Morgan enriched his expositions with insights from history and psychology. On the Study and Difficulties of Mathematics represents some of his best work, containing points usually overlooked by elementary treatises, and written in a fresh and natural tone that provides a... more...

  • Topos Theoryby P.T. Johnstone

    Dover Publications 2014; US$ 24.95

    One of the best books on a relatively new branch of mathematics, this text is the work of a leading authority in the field of topos theory. Suitable for advanced undergraduates and graduate students of mathematics, the treatment focuses on how topos theory integrates geometric and logical ideas into the foundations of mathematics and theoretical computer... more...

  • Popular Lectures on Mathematical Logicby Hao Wang

    Dover Publications 2014; US$ 10.95

    A noted logician and philosopher addresses various forms of mathematical logic, discussing both theoretical underpinnings and practical applications. Author Hao Wang surveys the central concepts and theories of the discipline in a historical and developmental context, and then focuses on the four principal domains of contemporary mathematical logic:... more...

  • First Course in Mathematical Logicby Patrick Suppes; Shirley Hill

    Dover Publications 2012; US$ 14.95

    Rigorous introduction is simple enough in presentation and context for wide range of students. Symbolizing sentences; logical inference; truth and validity; truth tables; terms, predicates, universal quantifiers; universal specification and laws of identity; more. more...

  • Applications of Model Theory to Functional Analysisby Jose Iovino

    Dover Publications 2014; US$ 12.95

    During the last two decades, methods that originated within mathematical logic have exhibited powerful applications to Banach space theory, particularly set theory and model theory. This volume constitutes the first self-contained introduction to techniques of model theory in Banach space theory. The area of research has grown rapidly since this monograph's... more...