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Most popular at the top

  • Computability and Unsolvabilityby Martin Davis

    Dover Publications 2013; US$ 16.95

    Classic graduate-level introduction to theory of computability. Discusses 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, more. 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...

  • 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...

  • 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...

  • 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...

  • Introduction to Formal Languagesby György E. Révész

    Dover Publications 2015; US$ 14.95

    Covers all areas, including operations on languages, context-sensitive languages, automata, decidability, syntax analysis, derivation languages, and more. Numerous worked examples, problem exercises, and elegant mathematical proofs. 1983 edition. more...

  • Introduction to Mathematical Thinkingby Friedrich Waismann

    Dover Publications 2012; US$ 14.95

    Examinations of arithmetic, geometry, and theory of integers; rational and natural numbers; complete induction; limit and point of accumulation; remarkable curves; complex and hypercomplex numbers; more. Includes 27 figures. 1959 edition. 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

    The first self-contained introduction to techniques of model theory, this 2002 text presents material still not readily available elsewhere, including Krivine's theorem and the Krivine-Maurey theorem on stable Banach spaces. more...

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

    Dover Publications 2012; US$ 8.95

    First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite. more...