This book conveys to the non-specialist some of the deepest ideas in mathematics. The first chapter, On the Mathematical Notion of Information, is a sequel to the author's previous works, Dialogues on Mathematics , and Letters on Probability . Other chapters provide thoughtful discussion of the teaching of probability theory, the diverse and surprising applications of the work of Fibonacci, and a mathematician's battle with the casinos. Provides basic introduction to what mathematics is and how it applies to everyday life.