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#### A Transition to Abstract Mathematics

Elsevier Science 2008; US$ 89.95Constructing concise and correct proofs is one of the most challenging aspects of learning to work with advanced mathematics. Meeting this challenge is a defining moment for those considering a career in mathematics or related fields. A Transition to Abstract Mathematics teaches readers to construct proofs and communicate with the precision necessary... more...

#### There's Something About Gdel

Wiley 2009; US$ 115.95 US$ 100.49Berto’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...

#### Math Proofs Demystified

McGraw-Hill Education 2005; US$ 24.00Almost 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 uncommon... more...

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

Springer Berlin Heidelberg 2008; US$ 83.94This 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$ 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$ 129.13A 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$ 192.00 US$ 166.40Learn 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...

#### 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...

#### Proof and Proving in Mathematics Education

Springer Netherlands 2012; US$ 222.74Proof and Proving in Mathematics Education argues that deductive reasoning and proof should be integral parts of any mathematics curriculum. It identifies the resources teachers needed to enact such instruction, and facilitates the design of teacher education and development programs that provide them. more...

#### A Logical Introduction to Proof

Springer New York 2012; US$ 44.76This unique textbook uses a ‘logic-first’ approach to train and guide undergraduates through transition courses bridging calculus and advanced mathematics. It also offers a valuable introduction to group theory and real analysis, including proof strategies. more...