We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.

    As he did so masterfully in Prime Obsession, Derbyshire brings the evolution of mathematical thinking to dramatic life by focusing on the key historical players. Unknown Quantity begins in the time of Abraham and Isaac and moves from Abel's proof to the higher levels of abstraction developed by Galois through modern-day advances. Derbyshire explains how a simple turn of thought from this plus this equals this to this plus what equals this? gave birth to a whole new way of perceiving the world. With a historian's narrative authority and a beloved teacher's clarity and passion, Derbyshire leads readers on an intellectually satisfying and pleasantly challenging historical and mathematical journey.

    She built houses and ground corn, wove blankets and painted pottery, played field hockey and rode racehorses. Frequently she enjoyed an open and joyous sexuality before marriage; if her marriage didn't work out she could divorce her husband by the mere act of returning to her parents. She mourned her dead by tearing her clothes and covering herself with ashes, and when she herself died was often shrouded in her wedding dress. She was our native sister, the American Indian woman, and it is of her life and lore that Carolyn Niethammer writes in this rich tapestry of America's past and present. Here, as it unfolded, is the chronology of the Native American woman's life. Here are the birth rites of Caddo women from the Mississippi-Arkansas border, who bore their children alone by the banks of rivers and then immersed themselves and their babies in river water; here are Apache puberty ceremonies that are still carried on today, when the cost for the celebrations can run anywhere from one to six thousand dollars. Here are songs from the Night Dances of the Sioux, where girls clustered on one side of the lodge and boys congregated on the other; here is the Shawnee legend of the Corn Person and of Our Grandmother, the two female deities who ruled the earth. Far from the submissive, downtrodden “squaw” of popular myth, the Native American woman emerges as a proud, sometimes stoic, always human individual from whom those who came after can learn much. At a time when many contemporary American women are seeking alternatives to a lifestyle and role they have outgrown, Daughters of the Earth offers us an absorbing—and illuminating—legacy of dignity and purpose.

    The demand for vintage trailers-the smaller the better-has risen dramatically in recent years, with the most in-demand trailers being "teardrops," first manufactured in the 1930s and containing just indoor sleeping space and an outdoor exterior kitchen. Also profiled in the book are "canned ham" trailers, whose shape resembles the profile of a can of ham; small-size examples of America's most beloved vintage trailer, the Airstream; miniscule gypsy caravans in Europe; and fiberglass trailers made in Canada. Two hundred color photographs showcase these trailers' sleek exteriors, retro-styled interiors, and, in many cases, the restored classic cars that tow them. Teardrops and Tiny Trailers includes a resource section chock-full of places to locate vintage trailers, clubs to join, and rallies to attend.

    His kidnapping started the longest war in American history, and both sides--the Apaches and the white invaders—blamed him for it. A mixed-blood warrior who moved uneasily between the worlds of the Apaches and the American soldiers, he was never trusted by either but desperately needed by both. He was the only man Geronimo ever feared. He played a pivotal role in this long war for the desert Southwest from its beginning in 1861 until its end in 1890 with his pursuit of the renegade scout, Apache Kid. In this sprawling, monumental work, Paul Hutton unfolds over two decades of the last war for the West through the eyes of the men and women who lived it. This is Mickey Free's story, but also the story of his contemporaries: the great Apache leaders Mangas Coloradas, Cochise, and Victorio; the soldiers Kit Carson, O. O. Howard, George Crook, and Nelson Miles; the scouts and frontiersmen Al Sieber, Tom Horn, Tom Jeffords, and Texas John Slaughter; the great White Mountain scout Alchesay and the Apache female warrior Lozen; the fierce Apache warrior Geronimo; and the Apache Kid. These lives shaped the violent history of the deserts and mountains of the Southwestern borderlands--a bleak and unforgiving world where a people would make a final, bloody stand against an American war machine bent on their destruction.

    In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains.

    Even before he won the Nobel Prize in 1965, his unorthodox and spellbinding lectures on physics secured his reputation amongst students and seekers around the world. It was his outsized love for life, however, that earned him the status of an American cultural icon - here was an extraordinary intellect devoted to the proposition that the thrill of discovery was matched only by the joy of communicating it to others." In this career-spanning collection of letters, many published here for the first time, we are able to see this side of Feynman like never before. Perfectly Reasonable Deviations from the Beaten Track covers a dazzling array of topics and themes, scientific developments and personal histories. With missives to and from scientific luminaries, as well as letters to and from fans, family, students, crackpots, as well as everyday people eager for Feynman's wisdom and counsel, the result is a de facto guide to life, and eloquent testimony to the human quest for knowledge at all levels.Published in the UK as Don't You Have Time to Think?