A Gentle Introduction to the Art of Mathematics, Version 3. 1SN

Download or read book A Gentle Introduction to the Art of Mathematics, Version 3. 1SN written by Joe Fields and published by . This book was released on 2014-01-08 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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". This is version 3.1SN. The 'S' flag indicates that the symbol used for logical negation is ~. The 'N' flag indicates that the convention that 1 (not 0) is the smallest natural number is maintained throughout.