Mathematical Labyrinths. Pathfinding: 22 (Problem Solving in Mathematics and Beyond)

Contents
Preface
About the Author
1. Entering the Labyrinth
2. What? How? Why?
	A Detective Story
3. The Clue is in the Question
4. Thinking Outside the Box. Sophisms and Paradoxes
	4.1 Playing Logical Games
	4.2 Sophisms
	4.3 Paradoxes
5. “Precise Steps” Problems. Playing Preferans
6. Euclidean Plane Transformations
	6.1 Isometric Transformations
	6.2 Homothety
7. Geometrical Constructions with Restricted Elements
8. Inventing a Problem
	8.1 Inventing New Problems by Modifying a Solved Problem
	8.2 Inventing New Problems by Analogy
	8.3 Extending a Problem
9. Related Problems
	9.1 Problems Relying on the Same Property
	9.2 Restating a Problem
	9.3 Converse Problems
	9.4 Making a “Prognosis”. Generalizations
10. Alternative Solutions Search
11. Eureka!
	11.1 Weighing Problems
	11.2 Playing with Numbers
	11.3 Equations to the Rescue
	11.4 Recreational Geometry — Can You Do It?
	11.5 Sense of Humor, Common Sense, and a Little Bit of Logic
	11.6 Final Problem — Moral Test
Solutions and Answers to Problems
	Chapter 2
	Chapter 3
	Chapter 4
	Chapter 5
	Chapter 6
	Chapter 8
	Chapter 9
	Chapter 10
	Chapter 11
	Final Problem — Moral Test
Bibliography
Index