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Computability and Logic
Cambridge University Press 2007; US$ 27.00Computability and Logic is a classic because of its accessibility to students without a mathematical background. more...
Computability and Logic
Cambridge University Press 2002; US$ 28.00Now in its fourth edition, this book has become a classic because it covers not simply the staple topics of intermediate logic courses but also a large number of other topics. John Burgess has enhanced the book by adding problems at the end of each chapter and by rewriting chapters. more...
Essays in Constructive Mathematics
Springer 2007; US$ 69.99This book aims to promote constructive mathematics not by defining it or formalizing it but by practicing it. This means that its definitions and proofs use finite algorithms, not `algorithms' that require surveying an infinite number of possibilities to determine whether a given condition is met. The topics covered derive from classic works of... more...
Computable Structures and the Hyperarithmetical Hierarchy
Elsevier Science 2000; US$ 133.00This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There... more...
New Computational Paradigms
Springer 2007; US$ 129.99Examines developments in the theory and practice of computation from a mathematical perspective, with topics ranging from classical computability to complexity, from biocomputing to quantum computing. This book covers topics in computability theory such as relative computability, theory of numberings, and domain theory. more...
Lambda-Calculus and Combinators
Cambridge University Press 2008; US$ 61.00Keeping technical requirements to a minimum, this long-awaited new edition gives a modern account of combinatory logic and lambda-calculus models. more...
Math Proofs Demystified
McGraw-Hill Education 2005; US$ 20.00Almost 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... more...
Applied Proof Theory
Springer 2008; US$ 79.99This is the first treatment in book format of proof-theoretic transformations - known as proof interpretations - that focuses on applications to ordinary mathematics. It covers both the necessary logical machinery behind the proof interpretations that are used in recent applications as well as - via extended case studies - carrying out some of these... more...
Verblüfft?!: Mathematische Beweise unglaublicher Ideen (German Edition)
Springer 2009; US$ 19.95Das Buch stellt eine Reihe scheinbar paradoxer mathematischer Aussagen und deren Beweise vor. Sie kommen aus verschiedenen Bereichen der Mathematik, darunter das Geburtstagsparadoxon, Conways Chequerboard-Armee und Torricellis Trompete. Angewendet werden elementare Methoden der Kombinatorik, Wahrscheinlichkeitsrechnung, Statistik, Geometrie und Analysis.... more...
A Framework for Priority Arguments
Cambridge University Press 2010; US$ 68.00This book presents a unifying framework for using priority arguments to prove theorems in computability. more...









