A Gentle Introduction to the Art of Mathematics (GIAM for short) 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.
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.
Title A Gentle Introduction to the Art of Mathematics
Author(s) Joseph Fields
Publisher: Lulu.com (November 26, 2010)
Paperback 464 pages
Language: English
ISBN-13: 978-0-557-64515-2
eBook: http://ares.southernct.edu/~fields/GIAM/
Author(s) Joseph Fields
Publisher: Lulu.com (November 26, 2010)
Paperback 464 pages
Language: English
ISBN-13: 978-0-557-64515-2
eBook: http://ares.southernct.edu/~fields/GIAM/
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