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#### There's Something About Gdel

John Wiley & Sons 2009; US$ 99.95Berto’s highly readable and lucid guide introduces students and the interested reader to Gödel’s celebrated Incompleteness Theorem , and discusses some of the most famous - and infamous - claims arising from Gödel's arguments. Offers a clear understanding of this difficult subject by presenting each of the key steps of the ... more...

#### Applied Proof Theory

Springer 2008; US$ 109.00This 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...

#### Structural Proof Theory

Cambridge University Press 2001; US$ 36.00A concise introduction to structural proof theory, a branch of logic studying the general structure of logical and mathematical proofs. more...

#### Student Solutions Manual for A Transition to Abstract Mathematics

Elsevier Science 2013; US$ 14.99Student Solutions Manual for A Transition to Abstract Mathematics more...

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

Wiley 2011; US$ 144.00A 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...

#### Learning to Reason

Wiley 2011; US$ 186.00Learn 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 techniques... more...

#### The Nuts and Bolts of Proofs

Elsevier Science 2011; US$ 49.95The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work. It offers techniques for both reading and writing proofs. The second chapter of the book discusses the techniques in proving if/then statements by contrapositive and proofing by contradiction. It... more...

#### A Logical Introduction to Proof

Springer New York 2012; US$ 59.95Identifies the important topics in logic that mathematicians use in their proofs Methodically presents the key strategies used in mathematical proofs Each proof strategy is illustrated by a variety of theorems concerning the natural, rational and real numbers An introduction to group theory and real analysis that presents proof strategies for dealing... more...

#### Around and Beyond the Square of Opposition

Springer 2012; US$ 89.95aiThe theory of oppositions based on Aristotelian foundations of logic has been pictured in a striking square diagram which can be understood and applied in many different ways having repercussions in various fields: epistemology, linguistics, mathematics, psychology. The square can also be generalized in other two-dimensional or multi-dimensional... more...