Blast Into Math!
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740303308
Table of contents: title: Preface; title: To the reader; title: Pure mathematics: the proof of the pudding is in the eating; title: A universal language; title: Theorems, propositions, and lemmas; title: Logic; title: Ready? Set? Prove!; title: Exercises; title: Examples and hints; title: Sets of numbers: mathematical playgrounds; title: Set theory; title: Numbers; title: The least upper bound property; title: Proof by induction; title: Exercises; title: Examples and hints; title: The Euclidean algorithm: a computational recipe; title: Division; title: Greatest common divisors; title: Proof of the Euclidean Algorithm; title: Greatest common divisors in disguise; title: Exercises; title: Examples and hints; title: Prime numbers: indestructible building blocks; title: Ingredients in the proof of the Fundamental Theorem of Arithmetic; title: Unique prime factorization: the Fundamental Theorem of Arithmetic; title: How many primes are there?; title: Counting infinity; title: Exercises; title: Examples and hints; title: Mathematical perspectives: all your base are belong to us; title: Number bases: infinitely many mathematical perspectives; title: Fractions in bases; title: Exercises; title: Examples and hints; title: Analytic number theory: ants, ghosts and giants; title: Sequences: mathematical ants; title: Real numbers and friendly rational numbers; title: Series: a tower of mathematical ants; title: Decimal expansions; title: The Prime Number Theorem; title: Exercises; title: Examples and hints; title: Afterword; title: Bibliography