TY - BOOK AU - Fields,Joseph E. ED - Open Textbook Library TI - A Gentle Introduction to the Art of Mathematics T2 - Open textbook library AV - QA1 CY - Minneapolis, MN PB - Open Textbook Library KW - Mathematics KW - Textbooks N1 - Chapter 1: Introduction and notation -- Chapter 2: Logic and quantifiers -- Chapter 3: Proof techniques I -- Chapter 4: Sets -- Chapter 5: Proof techniques II -Induction -- Chapter 6: Relations and functions -- Chapter 7: Proof techniques III -Combinatorics -- Chapter 8: Cardinality -- Chapter 9: Proof techniques IV - Magic N2 - This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable. It is written in an informal, conversational style with a large number of interesting examples and exercises, so that a student learns to write proofs while working on engaging problems UR - https://open.umn.edu/opentextbooks/textbooks/177 ER -