The Mathematical Ocean: Explorations, Philosophy and Simulations for Students

The Mathematical Ocean examines ideas from across the major pillars of mathematics: geometry, numbers, infinity, probability and statistics, calculus, applications and modeling, and philosophy. This is not a textbook of mathematics so much as a companion reader to explore. Combining rigor and playfulness you will find many demonstrations of mathematics from a wide variety of topics, computer programs to follow along with that will bring the math to life, and deep philosophical questions to consider. In addition, integrated with the problems are several Writing Prompts. These low-floor high ceiling exercises allow for creativity in writing, discussion and philosophical inquiry, and are a twist on the usual kind of problem found in traditional mathematics books. Let’s visit the mathematical ocean together and marvel at what’s inside!