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Presents an accessible, in-depth look at the history of numbers and their applications in life and science, from math's surreal presence in the virtual world to the debates about the role of math in science.

"Defining infinity is difficult. But there is one thing people do every day that leads to infinity counting. No matter what large number you name, there is always a larger number. By reading this book, kids can begin to think about this and other powerful ideas involving infinity, including how infinity relates to rocket science. Featuring clear text and beautiful photographs, this is an excellent choice for kids who want to delve deeper into math...

"The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. In this informative and entertaining book, Lance Fortnow traces how the problem arose during the Cold War on both sides of the Iron Curtain, and gives examples of the problem from a variety...

"Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math?topology, analysis, and algebra?which turn out to be surprisingly easy to grasp. This book upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. What awaits readers is a freewheeling tour of...

"For readers of Steven Strogatz's Infinite Powers and The Joy of x comes this illuminating exploration of the ways in which math-and the people who have mastered its inherent power through the ages-has shaped our world. In this captivating, sweeping history, Michael Brooks makes clear that mathematics was one of the foundational innovations that catapulted humanity from a nomadic existence to civilization, and that it has been instrumental in every...

"Everyone has stared at the crumpled page of a math assignment and wondered, where on Earth will I ever use this? It turns out, Earth is precisely the place. As teen math prodigy Agnijo Banerjee and his teacher David Darling reveal, complex math surrounds us. If we think long enough about the universe, we're left not with material stuff, but a ghostly and beautiful set of equations. Packed with puzzles and paradoxes, mind-bending concepts, and surprising...

Marc Chamberland is professor of mathematics and natural sciences at Grinnell College. He is the creator of the YouTube channel Tipping Point Math, which strives to make mathematics accessible to everyone. The remarkable properties of the numbers one through nine In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas...

Logic is intellectual self-defense against such assaults on reason and also a method of quality control for checking the validity of your own views. But beyond these very practical benefits, informal logic—the kind we apply in daily life—is the gateway to an elegant and fascinating branch of philosophy known as formal logic, which is philosophy’s equivalent to calculus. Formal logic is a breathtakingly versatile tool. Much like a Swiss army...

We say that pi is 3.14159 … but what is pi really? Why does it matter? And what does it have to do with the area of a circle? Explore the answer to these questions and more—including how to define pi for shapes other than circles (such as squares).