an INVITATION TO ABSTRACT MATHEMATICS.

Preface to Instructors
	What Kind of Book Is This?
	How Can One Teach from This Book?
Preface to Students
	Who Is This Book Written For?
	How Can One Learn from This Book?
Acknowledgments
Contents
Part I What\'s Mathematics?
	1 Let\'s Play a Game!
		Problems
	2 What\'s the Name of the Game?
		Problems
	3 How to Make a Statement
		Problems
	4 What\'s True in Mathematics?
		Problems
	A Ten Famous Conjectures
		Problems and Assignments
	B Ten Famous Theorems
		Problems and Assignments
Part II The Foundations of Mathematics
	5 Let\'s Be Logical!
		Problems
	6 Setting Examples
		Problems
	7 Quantifier Mechanics
		Problems
	8 Let\'s Be Functional!
		Problems
	C The Foundations of Set Theory
		Problems and Assignments
Part III How to Prove It
	9 Universal Proofs
		Problems
	10 The Domino Effect
		Problems
	11 More Domino Games
		Problems
	12 Existential Proofs
		Problems
	D Ten Famous Problems
		Problem 1: Nobody Knows Nothing!
		Problem 2: Mathematical Survivor
		Problem 3: From the White House
		Problem 4: The Towers of Hanoi
		Problem 5: Checkerboard Tilings and Primino Numbers
		Problem 6: Watching Your Weights
		Problem 7: Some Are Sums
		Problem 8: A Really ``Mean\'\' Problem
		Problem 9: Waring\'s Problem with Negativity
		Problem 10: Coloring Lines, Planes, and Space
Part IV Advanced Math for Beginners
	13 Mathematical Structures
		Problems
	14 Working in the Fields (and Other Structures)
		Problems
	15 Group Work
		Problems
	16 Good Relations
		Problems
	17 Order, Please!
		Problems
	18 Now That\'s the Limit!
		Problems
	19 Sizing It Up
		Problems
	20 Infinite Delights
		Problems
	21 Number Systems Systematically
		Problems
	22 Games Are Valuable!
		Problems
	E Graphic Content
		Problems and Assignments
	F All Games Considered
		Problems and Assignments
	G A Top Forty List of Math Theorems
Index