A brilliant research mathematician reveals math to be a creative art form on par with painting, poetry, and sculpture, and rejects the standard anxiety-producing teaching methods used in most schools today. Witty and accessible, Paul Lockhart's controversial approach will provoke spirited debate among educators and parents alike, altering the way we think about math forever.
How military technology has transformed the world
The history of warfare cannot be fully understood without considering the technology of killing. In Firepower, acclaimed historian Paul Lockhart tells the story of the evolution of weaponry and how it transformed not only the conduct of warfare but also the very structure of power in the West, from the Renaissance to the dawn of the atomic era.
Across this period, improvements in firepower shaped the evolving art of war. For centuries, weaponry had remained simple enough that any state could equip a respectable army. That all changed around 1870, when the cost of investing in increasingly complicated technology soon meant that only a handful of great powers could afford to manufacture advanced weaponry, while other countries fell behind. Going beyond the battlefield, Firepower ultimately reveals how changes in weapons technology reshaped human history.
For seven years, Paul Lockhart's A Mathematician's Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K-12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living.
In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science.
Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.
The image of the Baron de Steuben training Washington's ragged, demoralized troops in the snow at Valley Forge is part of the iconography of our Revolutionary heritage, but most history fans know little more about this fascinating figure.
In the first book on Steuben since 1937, Paul Lockhart, an expert on European military history, finally explains the significance of Steuben's military experience in Europe. Steeped in the traditions of the Prussian army of Frederick the Great—the most ruthlessly effective in Europe—he taught the soldiers of the Continental Army how to fight like Europeans. His guiding hand shaped the army that triumphed over the British at Monmouth, Stony Point, and Yorktown. And his influence did not end with the Revolution. Steuben was instrumental in creating West Point and in writing the "Blue Book"—the first official regulations of the American army. His principles have guided the American armed forces to this day.
Steuben's life is also a classic immigrant story. A failure in midlife, he uprooted himself from his native Europe to seek one last chance at glory and fame in the New World. In America he managed to reinvent himself—making his background quite a bit more glamorous than it really was—but redeeming himself by his exceptional service and becoming, in a sense, the man he claimed to be.
