Elements of Logic via Numbers and Sets

Beschreibung

This is an elementary text, aimed at first-year undergraduates, which has been designed to bridge the gap between school and university mathematics and to emphasise the importance of proofs - both how to follow a proof and how to construct a proof. The book lays the foundation for most of the key subjects studied in an undergraduate degree program, and provides numerous exercises and a bibliography with suggestions for further and background reading.
AN ELEMENTARY TEXT THAT WILL INTRODUCE SCHOOL-LEAVERS TO THE CHANGE IN ATTITUDE AND APPROACH NECESSARY TO BECOME UNIVERSITY STUDENTS INTRODUCES THE ROLE AND NATURE OF PROOFS, AND SET THEORIES Includes supplementary material: sn.pub/extras

Autor*in

D.L. Johnson

Themen in »Elements of Logic via Numbers and Sets«

Addition Arithmetic Cantor Cardinal number Countable set Equivalence mathematics proof proof by contradiction theorem well-ordering principle

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From the reviews: “It took me a while to appreciate the need for a course intended to introduce mathematics undergraduates to advanced mathematics after they finish the calculus sequence. … This was the first book I found that seems really close to the core. It is well-written and very well suited to such a course.” (James M. Cargal, UMAP Journal, Vol. 31 (1), 2010)
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