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.

    

    In this compact guide, Rick Steves covers the essentials of Naples and the Amalfi Coast, including Pompeii, Vesuvius, Positano, and Amalfi Town. Visit Naples' Archaeological Museum, the Pompeii Forum, or the cathedrals and beaches of the Amalfi coast. You'll get Rick's firsthand advice on the best sights, eating, sleeping, and nightlife, and the maps and self-guided tours will ensure you make the most of your experience. More than just reviews and directions, a Rick Steves Snapshot guide is a tour guide in your pocket.Rick Steves Snapshot guides consist of excerpted chapters from Rick Steves European country guidebooks. Snapshot guides are a great choice for travelers visiting a specific city or region, rather than multiple European destinations. These slim guides offer all of Rick's up-to-date advice on what sights are worth your time and money. They include good-value hotel and restaurant recommendations, with no introductory information (such as overall trip planning, when to go, and travel practicalities).

     Nothing could have prepared him for the reality he ended up facing. Placing his focus on the day to day existence of the soldiers in the trenches, Adams presents a grim picture of mud-coated billets, relentless artillery barrages, working parties, training and the art of military sniping. Just as it would have been for the soldiers’ lives, Adams heightens his work with an emotive account of his first night patrol, the detonation of mines, battlefield duels and being wounded whilst out wiring in No Man’s Land. Understated and striving for truth over melodrama, Nothing of Importance is the original memoir of the First World War — the only record published while the conflict was still being fought — and the definitive account of trench warfare. Bernard Adams (1890-1917) was a British Army officer, joining 1 Royal Welsh Fusiliers as a Lieutenant in November 1914. He was the first of a triumvirate of authors who, for a time, served simultaneously in the same battalion: the second was Siegfried Sassoon, the third Robert Graves. Written whilst convalescing in 1916, he did not live to see it published.

    Threatened by the draft in the late sixties, he enlisted in the Army to avoid becoming a grunt, yet ended up one anyway. He endured a grueling war in Vietnam and then returned to a country too angry to care. While his journey took unexpected turns, his choices got him there, so he did his best to react positively and keep moving forward.Udden delivers his story in a comfortable, friendly style. He conveys the experiences of basic training, advanced infantry training, and what it was like to live, work, guard, patrol, and fight in the jungle. The reader will feel the adrenalin rush of a firefight, the thrill of a wild ride dangling below a helicopter, and the humor in celebrating his 21st birthday on a firebase.Through his words and personal photographs, you will live through his journey exactly as he experienced it.

    The police suspected the trio in a long string of burglaries, and they were under investigation by the FBI for grand theft auto. But on that New Year's night, the Egans were shot execution style at a rest stop off Interstate 81. The gruesome gangland-style killings puzzled local and state police. Theories ranged from a simple confrontation gone awry to a premeditated act of retribution by hardened criminals who feared the Egans would turn state's witness. With interviews from key witnesses, authors Dave Shampine and Daniel Boyer recount the grisly story of this New Year's Eve North Country nightmare, which is still shrouded in mystery today.

    In 1960, as a suicidal teenager, Sawyer was institutionalized, misdiagnosed, and suffered through 89 electroshock treatments before being transfered, labeled as “unimproved.” The damage done has haunted her life. Discharged in 1966, after finally receiving proper psychiatric care, Sawyer kept her past secret and moved on to graduate from Yale University, raise two children, and become a respected psychotherapist. That is, until 2001, when she reviewed her hospital records and began to remember a broken childhood and the even more broken mental health system of the 1950s and 1960s, Revisiting scenes from her childhood and assembling the pieces of a lost puzzle, her autobiography is a cautionary tale of careless psychiatric diagnosis and treatment, both 50 years ago and today. It is an informative story about understanding PTSD and making emotional sense of events that can lead a soul to darkness. Most of all, it’s a story of perseverance: pain, acceptance, healing, hope, and success. Hers is a unique voice for this generation, shedding light on an often misunderstood illness.

    Stuck in a rut, baseball was dying. Then Steinbrenner bought the Yankees, a second-division club with wife-swapping pitchers, leaving the House That Ruth Built not with a slam but a simper. He vowed not to interfere—before soon changing his mind. Across town, Tom Seaver led the Mets’ stellar pitching line-up, and iconic outfielder Willie Mays was preparing to say goodbye. For months, the Mets, under Yogi Berra, couldn’t get it right. Meanwhile, the A’s were breaking a ban on facial hair while maverick owner Charlie Finley was fighting to keep them underpaid. But beneath the muttonchops and mayhem, lay another world. Elvis commanded a larger audience than the Apollo landings. A Dodge Dart cost $2,800, gas was a quarter per gallon. A fiscal crisis loomed; Vietnam had ended, the vice president resigned, and Watergate had taken over. It was one of the most exciting years in the game’s history, the first with the designated hitter and the last before arbitration and free agency. The two World Series opponents went head-to-head above the baby steps of a dynasty that soon dwarfed both league champions. It was a turbulent time for the country and the game, neither of which would ever be the same again.

    Who's the greatest quarterback of all time, Joe Montana or Tom Brady? Brett Favre? Who was the most dominate linebacker, Lawrence Taylor or Dick Butkus? Was Deion Sanders better than Ronnie Lott? Are the Packers of Steelers the greatest franchise ever? Sports Illustrated has polled its pro football experts to determine the Top 10 in more than 20 categories. The rankings appear alongside stirring photography and classic stories from SI's archives. This is the best of the NFL's best, or more simply, FOOTBALL'S GREATEST.

     First published in 1897 to coincide with Queen Victoria’s Diamond Jubilee, Tooley illustrates the woman behind the crown and empire. The writer moves seamlessly through the Queen’s life from her lonely childhood, to her intrepid early years as an unmarried queen, through the heady days of betrothal, the loving years of marriage and finally to her heart-wrenching life as a widow. Her home and court life are explored with anecdotes from those close to the Queen, creating a rare glimpse into the monarch’s personal tastes and characteristics. Praise for The Personal Life of Queen Victoria “The volume should meet the wishes of a large public in these days of diamond jubilees.” — Times. “The writer has been at great pains to collect her material, some of which is from new sources, and she has utilised the information to good purpose. Her style, which is clear and flowing, renders her book easy reading.” — Globe. “Altogether a very attractive personal biography.” — Pall Mall Gazette. “Mrs. Tooley, in addition to the ordinary sources of information, has been favoured with many special anecdotes and particulars of incidents in the Queen’s career. This gives her book a distinct value. It is very pleasantly written.” — Westminster Gazette. “In dealing with the personal side of the Queen’s life, as distinct from that aspect of it which has to do with Her Majesty’s public career, Mrs. Tooley has been enabled, apparently by persons moving in Court circles, to add largely to the store of pleasant anecdotes and incidents.” — Scotsman. “Written with fine taste and delicate reserve, the biography presents the Queen in such a manner as to enhance the affection with which all her subjects regard her..” — Independent. “An important addition to the many biographies that have been written about Her Majesty … Mrs. Tooley has accomplished her task in a manner which holds the reader’s attention from beginning to end.” — Queen.

    The U.S. Navy’s state-of-the-art NR-1 nuclear powered submersible was the Cold War’s most closely guarded - and revolutionary - secret. In 1966, after the U.S. almost lost a hydrogen bomb off the coast of Spain, Admiral Hyman Rickover - father of the nuclear navy - outmaneuvered Congress and steamed full speed ahead on his brainchild: a spy mission and deep ocean recovery submarine with a miniature nuclear reactor that could navigate the ocean floor for weeks at a time. But operating at such depths would also cut off the crew should rescue become necessary. Now, an original crew member revels the true story of America’s Secret Submarine - the triumphs and near disasters of the super-secret NR-1 are told through first person accounts by those who alternately suffered through, and exalted in, its construction and initial operation - and then dared go where no men had gone before.

    It looked like something out of a movie--and, in a way, it was. The ship was the Bounty, a replica of a British merchant vessel of the same name whose crew famously mutinied in 1789. She had been built for a Marlon Brando film in the 1960s--and now she was sinking, her sixteen-person crew fleeing into the sea amid the splintered wood and torn canvas. Was the Bounty's sinking--which left her captain missing and one of her crew members dead--an unavoidable tragedy? Or was it the fault of a captain who was willing to risk everything to save the ship he loved? Drawing on exclusive interviews with Bounty survivors and Coast Guard rescuers, journalist Matthew Shaer reconstructs the ship's final voyage and the Coast Guard investigation into her sinking that followed, uncovering a riveting story of heroism and hubris in the eye of a hurricane. Praise for The Sinking of the Bounty:"Matthew Shaer masterfully recreates the last voyage and final doom of the Bounty, an iconic ship that collided with an historic storm off the Carolina coast. Shaer pulls you off the page and onto the Bounty itself--and then into the roiling sea--to relive a long night of terror, heroism and desperate quests for survival. The Sinking of the Bounty is a classic of the genre, beautifully told and riveting to read."—Sean Flynn, GQ correspondent and author of 3000 Degrees: The True Story of a Deadly Fire and the Men Who Fought It"Few images of Hurricane Sandy's destruction were as indelible, or as surreal, as the shattered wreck of the Bounty sinking beneath the waves of the 'Graveyard of the Atlantic.' Matthew Shaer's The Sinking of the Bounty is a powerful and riveting account of the disaster: the fateful decision to set sail before the storm, the crew's epic struggle to save the ship and then themselves, and the heroic rescue launched by the Coast Guard in the middle of the largest storm the Atlantic has ever seen. In the tradition of Sebastian Junger's The Perfect Storm, this is fast-paced and deeply reported storytelling."—Matthew Power, contributing editor, Harper's

    Once the old, cantankerous Sam Clevenger and his wife, Charlotte, hired Frank Willson and John Johnson to help with the move, their fate took a dark turn. These true events were documented by journalists through the 1887 trial and well into the 1900s, and stories have been told of Sam’s unfound treasure for nearly 130 years. But, this is the first detailed, documented, and vetted account of their bizarre and fascinating tale.

    W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.

    These sea raiders, or ‘corsairs’ as they were known, sought captives to enslave in the Ottoman Empire’s galleys, mines and harems. When reports circulated of white Christians being shackled to oars, smashing rocks in mines and being sold into sexual slavery, the American public became incensed. The leaders of the young republic were forced to act and with remarkable dexterity built a fleet of ships that grew into a fighting force powerful enough to withstand its first major test: The Barbary Wars.*Includes annotations and images.