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Proof theory

Most popular at the top

  • Understanding Mathematical Proofby John Taylor; Rowan Garnier

    CRC Press 2016; US$ 59.95

    The notion of proof is central to mathematics yet it is one of the most difficult aspects of the subject to teach and master. In particular, undergraduate mathematics students often experience difficulties in understanding and constructing proofs. Understanding Mathematical Proof describes the nature of mathematical proof, explores the various... more...

  • Mathematical Analysis and Proofby David S G Stirling

    Elsevier Science 2009; US$ 72.95

    This fundamental and straightforward text addresses a weakness observed among present-day students, namely a lack of familiarity with formal proof. Beginning with the idea of mathematical proof and the need for it, associated technical and logical skills are developed with care and then brought to bear on the core material of analysis in such a lucid... more...

  • Logic for Concurrency and Synchronisationby R.J. De Queiroz

    Springer Netherlands 2006; US$ 164.60

    The study of information-based actions and processes has been a vibrant - terface between logic and computer science for several decades now. Indeed, several natural perspectives come together here. On the one hand, logical s- tems may be used to describe the dynamics of arbitrary computational p- cesses – as in the many sophisticated process logics... more...

  • Proof, Logic and Formalizationby Michael Detlefsen

    Taylor and Francis 2005; US$ 54.95

    The mathematical proof is the most important form of justification in mathematics. It is not, however, the only kind of justification for mathematical propositions. The existence of other forms, some of very significant strength, places a question mark over the prominence given to proof within mathematics. This collection of essays, by leading figures... more...

  • Tracking Reasonby Jody Azzouni

    Oxford University Press 2005; US$ 29.99

    When ordinary people--mathematicians among them--take something to follow (deductively) from something else, they are exposing the backbone of our self-ascribed ability to reason. Jody Azzouni investigates the connection between that ordinary notion of consequence and the formal analogues invented by logicians. One claim of the book is that, despite... more...

  • Lectures on the Curry-Howard Isomorphismby Morten Heine Sørensen; Pawel Urzyczyn

    Elsevier Science 2006; US$ 170.00

    The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. For instance, minimal propositional logic corresponds to simply typed lambda-calculus, first-order logic corresponds to dependent types, second-order logic corresponds to polymorphic... more...

  • Mathematical Thinking and Writingby Randall Maddox

    Elsevier Science 2001; US$ 107.00

    The ability to construct proofs is one of the most challenging aspects of the world of mathematics. It is, essentially, the defining moment for those testing the waters in a mathematical career. Instead of being submerged to the point of drowning, readers of Mathematical Thinking and Writing are given guidance and support while learning the language... more...

  • The Nuts and Bolts of Proofsby Antonella Cupillari

    Elsevier Science 2005; US$ 53.95

    The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten.A flow chart graphically... more...

  • Math Proofs Demystifiedby Stan Gibilisco

    McGraw-Hill Education 2005; US$ 24.00

    Almost every student has to study some sort of mathematical proofs, whether it be in geometry, trigonometry, or with higher-level topics. In addition, mathematical theorems have become an interesting course for many students outside of the mathematical arena, purely for the reasoning and logic that is needed to complete them. Therefore, it is not uncommon... more...

  • The Moment of Proofby Donald C. Benson

    Oxford University Press 2000; US$ 49.99

    When Archimedes, while bathing, suddenly hit upon the principle of buoyancy, he ran wildly through the streets of Syracuse, stark naked, crying "eureka!" In The Moment of Proof , Donald Benson attempts to convey to general readers the feeling of eureka--the joy of discovery--that mathematicians feel when they first encounter an elegant proof.This... more...