An award-winning mathematician shows how we prove what’s true, and what to do when we can’t.

How will the United States and China evolve militarily in the years ahead? Many experts believe the answer to this question is largely unknowable. But Zack Cooper argues that the American and Chinese militaries are following a well-trodden path. For centuries, the world's most powerful militaries have adhered to a remarkably consistent pattern of behavior, determined largely by their leaders' perceptions of relative power shifts. By uncovering these trends, this book places the evolving military competition between the United States and China in historical context.

In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.

Dopamine, “the molecule of more,” makes it easy to get stuck in a cycle of never being truly satisfied. It promises happiness, but can never deliver. That part is up to us. A more fulfilling life begins with training your brain to overcome the dopamine chase—and it’s easier than you think.

In popular memory, the Second World War was an unalloyed victory for freedom over totalitarianism, marking the demise of the age of empires and the triumph of an American-led democratic order. In Scorched Earth, historian Paul Thomas Chamberlin dispatches the myth of World War II as a good war. Instead, he depicts the conflict as it truly was: a massive battle beset by vicious racial atrocities, fought between rival empires across huge stretches of Asia and Europe.