• Title: A Gentle Introduction to the Art of Mathematics
• Author(s) Joseph Fields
• Publisher: CreateSpace (December 18, 2012); eBook (GNU Free Documentation Licensed)
• License(s): GNU Free Documentation License
• Paperback: 466 pages
• eBook: PDF (432 pages)
• Language: English
• ISBN-10: 1480220663
• ISBN-13: 978-1480220669
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Book Description

A Gentle Introduction to the Art of Mathematics (GIAM) is a textbook for a "transitions" course. Transitions courses (also known as "foundations" or "intro to proofs" courses) are typically taken after the Calculus sequence and before upper-division coursework in the mathematics major.

Their purpose is to acclimatize the student to some of the culture and terminology of mathematics and to begin developing in them a proficiency at reading and writing mathematical proofs.

GIAM has chapters on Logic, Set theory, Relations and Cardinality interspersed with chapters on proofs - direct and indirect arguments, induction, combinatorial reasoning and "magic". Also, there are amusing quotations at the start of every chapter.

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