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- John Wiley & Sons 2009; US$ 99.95
Berto’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...
- McGraw-Hill Education 2005; US$ 22.00
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... more...
- Springer Berlin Heidelberg 2008; US$ 109.00
This 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...
- Elsevier Science 2013; US$ 14.99
Student Solutions Manual for A Transition to Abstract Mathematics more...
- Wiley 2011; US$ 144.00
A 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...
- Wiley 2011; US$ 186.00
Learn 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...
- Elsevier Science 2011; US$ 49.95
The 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...
- Springer New York 2012; US$ 59.95
Identifies 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...
- Springer Netherlands 2012; US$ 219.00
Proof 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...