A squared plus b squared equals c squared. Itsounds simple, doesn't it? Yet this familiar expression is a gatewayinto the riotous garden of mathematics, and sends us on a journey ofexploration in the company of two inspired guides, acclaimed authorsRobert and Ellen Kaplan. With wit, verve, and clarity, they trace thelife of the Pythagorean theorem, from ancient Babylon to the present,visiting along the way Leonardo da Vin...

“In this sparkling narrative, mathematics is indeed set free.” -Michael Shermer, author of The Believing BrainIn classrooms around the world, Robert and Ellen Kaplan's pioneering Math Circle program, begun at Harvard, has introduced students ages six to sixty to the pleasures of mathematics, exploring topics that range from Roman numerals to quantum mechanics.In Out of the Labyrinth, the Kaplans reveal the secrets of their highly successful approac...

A witty, conversational, and accessible tour of math's profoundest mysteries.Mathematical symbols, for mathematicians, store worlds of meaning, leap continents and centuries. But we need not master symbols to grasp the magnificent abstractions they represent, and to which all art aspires. Through language, anyone can come to delight in the works of mathematical art, which are among our kind's greatest glories.Taking the concept of infinity, in its countless...

A compelling journey through history, mathematics, and philosophy, charting humanitys struggle against randomnessOur lives are played out in the arena of chance. However little we recognize it in our day-to-day existence, we are always riding the odds, seeking out certainty but settling-reluctantly-for likelihood, building our beliefs on the shadowy props of probability. Chances Are is the story of mans millennia-long search for the tools to manage the r...

It is easy to be wary of mathematics - but as this book shows, drawing on science, literature and philosophy, its patterns are evrywhere. In witty and eloquent prose, Robert and Ellen Kaplan take mathematics back to its estranged audience, bringing understanding and clarity to a traditionally difficult subject, and revealing the beauty behind the equations. Only by letting loose our curiosity can we learn to appreciate the wonder that can be found in mathematics - an 'art' invented by huma...

NEW YORK TIMES BESTSELLER • In this “ambitious and challenging” (The New York Review of Books) work, the bestselling author of Monsoon and Balkan Ghosts offers a revelatory prism through which to view global upheavals and to understand what lies ahead for continents and countries around the world.In The Revenge of Geography, Robert D. Kaplan builds on the insights, discoveries, and theories of great geographers and geopo...

**#1 New York Times BestsellerIn Being Mortal, bestselling author Atul Gawande tackles the hardest challenge of his profession: how medicine can not only improve life but also the process of its ending**Medicine has triumphed in modern times, transforming birth, injury, and infectious disease from harrowing to manageable. But in the inevitable condition of aging and death, the goals of medicine seem too frequently to run counter to the interest of the huma...

Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world.Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ...

One of the world’s leading philosophers offers aspiring thinkers his personal trove of mind-stretching thought experiments.Over a storied career, Daniel C. Dennett has engaged questions about science and the workings of the mind. His answers have combined rigorous argument with strong empirical grounding. And a lot of fun.Intuition Pumps and Other Tools for Thinking offers seventy-seven of Dennett’s most successful "imagination-extenders and focus-holders" meant to...

**One of our greatest philosophers and scientists of the mind examines where the self comes from – and how our selves can exist in the minds of others.“I Am a Strange Loop is a work of rigorous thinking, but it’s also an extraordinary tribute to the memory of romantic love: The Year of Magical Thinking for mathematicians.” ―Time**Deep down, your brain is a chaotic seething soup of particles. On a higher level it is a jungle of neurons, and on a ye...

A revelatory foray into cognition and the dynamics of the mind.**“*****Surfaces and Essences *****warrants a place alongside Gödel, Escher, Bach and major recent treatments of human cognition. Analogy is not the endpoint of understanding, but its indispensable beginning.” –**ScienceAnalogy is the core of all thinking.This is the simple but unorthodox premise that Pulitzer ...

The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of ...