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#### An Introduction to Mathematical Reasoning

Cambridge University Press 1997; US$ 52.00The purpose of this book is to introduce the basic ideas of mathematical proof and reasoning to students starting university mathematics. more...

#### Computability and Logic

Cambridge University Press 2002; US$ 28.00Now in its fourth edition, this book on logic has been enhanced and rewritten. more...

#### Computable Structures and the Hyperarithmetical Hierarchy

Elsevier Science 2000; US$ 175.00This 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...

#### Lambda-Calculus and Combinators

Cambridge University Press 2008; US$ 68.00This book gives an account of combinatory logic and lambda-calculus models. more...

#### Applied Proof Theory: Proof Interpretations and their Use in Mathematics

Springer Berlin Heidelberg 2008; US$ 87.44This 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...

#### A Framework for Priority Arguments

Cambridge University Press 2010; US$ 76.00This book presents a unifying framework for using priority arguments to prove theorems in computability. more...

#### Structural Proof Theory

Cambridge University Press 2001; US$ 37.00A concise introduction to structural proof theory, a branch of logic studying the general structure of logical and mathematical proofs. more...

#### Theorems, Corollaries, Lemmas, and Methods of Proof

Wiley 2011; US$ 149.00 US$ 134.10A hands-on introduction to the tools needed for rigorous and theoretical mathematical reasoning Successfully addressing the frustration many students experience as they make the transition from computational mathematics to advanced calculus and algebraic structures, Theorems, Corollaries, Lemmas, and Methods of Proof equips students with the tools... more...

#### Computability Theory

Elsevier Science 2011; US$ 9.99Computability Theory: An Introduction to Recursion Theory, provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts and techniques of computability theory are placed in their historical, philosophical and logical context. This presentation is characterized... more...

#### Learning to Reason

Wiley 2011; US$ 192.00 US$ 172.80Learn how to develop your reasoning skills and how to write well-reasoned proofs Learning to Reason shows you how to use the basic elements of mathematical language to develop highly sophisticated, logical reasoning skills. You'll get clear, concise, easy-to-follow instructions on the process of writing proofs, including the necessary reasoning... more...