Foundations of Mathematics
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€280.18
A01=Thomas Q. Sibley
areas of mathematics
Author_Thomas Q. Sibley
basic concepts of logic
Category=PB
critiquing false proofs
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G?del?s Theorems
intro to math proofs
introduction to proofs in mathematics
math concepts used in proofs
mathematical concepts
mathematics foundational exercises
metamathematics discussion
philosophy of mathematics
prove challenging math statements
set theory in math
Product details
- ISBN 9780470085011
- Weight: 680g
- Dimensions: 155 x 236mm
- Publication Date: 21 Apr 2008
- Publisher: John Wiley & Sons Inc
- Publication City/Country: US
- Product Form: Hardback
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The Foundations of Mathematics provides a careful introduction to proofs in mathematics, along with basic concepts of logic, set theory and other broadly used areas of mathematics. The concepts are introduced in a pedagogically effective manner without compromising mathematical accuracy and completeness. Thus, in Part I students explore concepts before they use them in proofs. The exercises range from reading comprehension questions and many standard exercises to proving more challenging statements, formulating conjectures and critiquing a variety of false and questionable proofs. The discussion of metamathematics, including Gödel’s Theorems, and philosophy of mathematics provides an unusual and valuable addition compared to other similar texts
Thomas Q. Sibley is Professor of Mathematics at St. John's University in Collegeville, Minnesota.
