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Logic

Most popular at the top

  • First Course in Mathematical Logicby Patrick Suppes; Shirley Hill

    Dover Publications 2012; US$ 14.95

    In modern mathematics, both the theory of proof and the derivation of theorems from axioms bear an unquestioned importance. The necessary skills behind these methods, however, are frequently underdeveloped. This book counters that neglect with a rigorous introduction that is simple enough in presentation and context to permit relatively easy comprehension.... more...

  • Elementary Induction on Abstract Structuresby Yiannis N. Moschovakis

    Dover Publications 2014; US$ 14.95

    Hailed by the Bulletin of the American Mathematical Society as "easy to use and a pleasure to read," this research monograph is recommended for students and professionals interested in model theory and definability theory. The sole prerequisite is a familiarity with the basics of logic, model theory, and set theory. The author, Professor of Mathematics... more...

  • What Is Mathematical Logic?by J. N. Crossley; C.J. Ash; C.J. Brickhill; J.C. Stillwell

    Dover Publications 2012; US$ 6.95

    Although mathematical logic can be a formidably abstruse topic, even for mathematicians, this concise book presents the subject in a lively and approachable fashion. It deals with the very important ideas in modern mathematical logic without the detailed mathematical work required of those with a professional interest in logic. The book begins with... more...

  • Computability and Unsolvabilityby Martin Davis

    Dover Publications 2013; US$ 16.95

    "A clearly written, well-presented survey of an intriguing subject." ? Scientific American . Classic text considers general theory of computability, computable functions, operations on computable functions, Turing machines self-applied, unsolvable decision problems, applications of general theory, mathematical logic, Kleene hierarchy, computable... more...

  • An Introduction to Stability Theoryby Anand Pillay

    Dover Publications 2013; US$ 11.95

    This introductory treatment covers the basic concepts and machinery of stability theory. Lemmas, corollaries, proofs, and notes assist readers in working through and understanding the material and applications. Full of examples, theorems, propositions, and problems, it is suitable for graduate students in logic and mathematics, professional mathematicians,... 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...

  • 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...

  • Proof Theoryby Gaisi Takeuti

    Dover Publications 2013; US$ 19.99

    This comprehensive monograph presents a detailed overview of creative works by the author and other 20th-century logicians that includes applications of proof theory to logic as well as other areas of mathematics. 1975 edition. more...

  • Mathematics and the Imaginationby Edward Kasner; James Newman

    Dover Publications 2013; US$ 16.95

    With wit and clarity, the authors progress from simple arithmetic to calculus and non-Euclidean geometry. Their subjects: geometry, plane and fancy; puzzles that made mathematical history; tantalizing paradoxes; more. Includes 169 figures. more...