Amazingly, the story unveiled in it is true.In the world of math, the Poincaré Conjecture was a holy grail. Decade after decade the theorem that informs how we understand the shape of the universe defied every effort to prove it. Now, after more than a century, an eccentric Russian recluse has found the solution to one of the seven greatest math problems of our time, earning the right to claim the first one-million-dollar Millennium math prize.George Szpiro begins his masterfully told story in 1904 when Frenchman Henri Poincaré formulated a conjecture about a seemingly simple problem. Imagine an ant crawling around on a large surface. How would it know whether the surface is a flat plane, a round sphere, or a bagel- shaped object? The ant would need to lift off into space to observe the object. How could you prove the shape was spherical without actually seeing it? Simply, this is what Poincaré sought to solve.In fact, Poincaré thought he had solved it back at the turn of the twentieth century, but soon realized his mistake. After four more years' work, he gave up. Across the generations from China to Texas, great minds stalked the solution in the wilds of higher dimensions. Among them was Grigory Perelman, a mysterious Russian who seems to have stepped out of a Dostoyevsky novel. Living in near poverty with his mother, he has refused all prizes and academic appointments, and rarely talks to anyone, including fellow mathematicians. It seemed he had lost the race in 2002, when the conjecture was widely but, again, falsely reported as solved. A year later, Perelman dropped three papers onto the Internet that not only proved the Poincaré Conjecture but enlightened the universe of higher dimensions, solving an array of even more mind-bending math with implications that will take an age to unravel. After years of review, his proof has just won him a Fields Medal--the 'Nobel of math'--awarded only once every four years. With no interest in fame, he refused to attend the ceremony, did not accept the medal, and stayed home to watch television.Perelman is a St. Petersburg hero, devoted to an ascetic life of the mind. The story of the enigma in the shape of space that he cracked is part history, part math, and a fascinating tale of the most abstract kind of creativity.

    The geographical region discussed in this book, in addition to what is considered a part of South India, includes parts of Madhya Pradesh, Odisha, Maharashtra, and Goa.In addition to the origins of Dravidian people and their culture, the author has also discussed legends related to South India like those of sage Agastya and Parasurama. The book traces the historical background of the region by talking about various dynasties like the Cholas, Pandyas, Mauryas, and Gangas that ruled different parts of South India during different times. Trade, art, literature, philosophy, and religion have also been emphasised upon in the later parts of the text.The topics covered in this book include the age of the Mauryan empire, the age of the four empires, the empire of Vijayanagar, the Satavahanas and their successors, Aryanization, art and architecture, and social and economic conditions.This fourth edition begins with a Prologue by Rajan Gurukkal, an eminent Indian historian, followed by an Introduction by R. Champakalakshmi, a reputed history professor.A History Of South India 4th Edition contains information that is replete with illustrations, genealogical charts, and maps.

    Hundreds of thousands of pianos are bought and sold each year, yet most people buy a piano with only the vaguest idea of what to look for as they make this major purchase. The Piano Book evaluates and compares every brand and style of piano sold in the United States. There is information on piano moving and storage, inspecting individual new and used pianos, the special market for Steinways, and sales gimmicks to watch out for. An annual supplement, sold separately, lists current prices for more than 2,500 new piano models.

    The impressive photographs of works from all visual arts movements are at the center of these richly illustrated volumes. The books successfully provide an overview of the artistic diversity of the individual periods, and they couldn't have been written and illustrated any more clearly. The informative and interesting texts have been written by renowned authors from the fields of history, architecture and art history, providing a multifaceted view of each period. These books are a real pleasure for anyone with an interest in art.

    One that involves intelligence agencies, politicians, international bestselling authors, and the world's leading scientists and industrialists. They believe that this conspiracy, centred upon the eternal mysteries of ancient Egypt, targets and threatens us all.

    It provides up to date information on structural properties, the processing of materials and their applications.

    Ranging from 700,000 BC to 311 AD, this volume portrays the emergence and development of Egypt from its prehistoric roots to its conquest by the Roman Empire. The contributors--all leading scholars working at the cutting edge of Egyptology--incorporate the latest findings in archaeological research as they chart the principal political events of Egyptian history, from the rise of the Pharaohs and the conquest of Egypt by Alexander the Great, to the ascension of the Ptolemies and the coming of Roman legions. The book also includes the first detailed examinations of three periods which were previously regarded as dark ages. Against the backdrop of the birth and death of ruling dynasties, the writers also examine cultural and social patterns, including stylistic developments in art and literature, monumental architecture, funerary beliefs, and much more. The contributors illuminate the underlying patterns of social and political change and describe the changing face of ancient Egypt, from the biographical details of individuals to the social and economic factors that shaped the lives of the people as a whole. The only up-to-date, single-volume history of ancient Egypt available in English, The Oxford History of Ancient Egypt is a must read for everyone interested in one of the great civilizations of antiquity.

    Eventually, he led tours and gave lectures on the demolition and reconstruction that changed the city forever. Walks through Lost Paris chronicles Paris's great periods of urban reconstruction through four walking tours. With a special focus on the work of Georges-Eugene Haussmann, this book provides a history of each site along with the motives behind the urban redesign and the reactions of Parisians who witnessed it. Detailed maps take you through a city whose changes were captured by photographers and artists in each stage. Hundreds of color photos, diagrams, and engravings splendidly survey the massive transformation that resulted in the Paris of today.

    This comprehensive textbook uses a building-block approach that starts with the fundamental principles of system operation and progresses gradually to complex diagnostic and service procedures. Short sentences, concise definitions, and thousands of color illustrations help students learn quickly and easily. This newly revised text provides thorough coverage of the latest developments in the automotive field, including hybrid drive systems, computer network communication, and tire pressure monitoring systems. Organized around the eight ASE automobile test areas, Modern Automotive Technology is a valuable resource for students preparing for a career in automotive technology, as well as experienced technicians who are preparing for the ASE certification tests.

    Constable Wood was a disaster waiting to happen. He was the sort of cop who was happier helping little old ladies across the street (even when they were quite content where they were) than pursuing the perpetrators of dreadful deeds. But if he failed to strike fear into the hearts of the criminal underworld, his superiors had a real problem on their hands. Never before had they been forced to deal with such a well-meaning but accident-prone officer and they hoped, fervently, never to see his like again. From his early encounters with a less-than-impressed public, through the terrifying days of the Springbok Tour riots, to the gradual realisation that perhaps he wasn’t cut out for life on the beat, this is the hilarious story of a young cop who created a severe disturbance in the force.

    In Raiders of the Lost Ark, the fearless archeologist journeys from Nepal to Cairo to the Mediterranean, dodging poisons, traps, and snakes, battling rivals old and new–all in pursuit of an ancient artifact that holds the key to dazzling, invincible power. Indiana Jones and the Temple of Doom finds our intrepid hero in a remote village in India, where a mysterious old shaman tells him that his arrival has been foreseen–and that he must retrieve a stolen mystical stone. And finally, Indy must face the most challenging and personal endeavor of his life: rescue his estranged father, the eminent professor Dr. Henry Jones, from a Nazi’s lair, and recover the legendary Holy Grail. Yet Indiana Jones and the Last Crusade doesn’t mean the adventure is over. . . .

    These maps show how our idea of the world has shifted and grown over time, and each map tells its own unique story about nations, politics, and ambitions. The chosen images, with their accompanying stories, introduce the reader to an exciting new way of "reading" maps as travelogues---living history from the earliest of man's imaginings about planet earth to our current attempts at charting cyberspace. Among the rare gems included in the book are the Waldseemuller Map of the World from 1507, the first to include the designation "America"; pages from the Ortelius's Theatrum Orbis Terrarum of 1570, considered the first modern atlas; rare maps from Africa, Asia, and Oceania that challenge traditional Western perspectives; William Faulkner's hand-drawn 1936 map of the fictional Yoknapatawpha County, Mississippi; and even a map of the Human Genome. In an oversized format, with gorgeous four-color reproductions throughout, Catrographia will appeal to collectors, historians, and anyone looking for a perfect gift.

    And this updated edition contains a host of new findings on “Gemstones for Collectors,” additional gems in the “Table of Constants,” and the “double fraction” figures that experts have long wanted—a very special new feature.All the gemstones are treated in their many variations: more than 1,500 full-color photos showcase each precious and semiprecious stone in both its rough, natural, and its polished and cut renditions. Each entry offers complete information on the gemstone’s formation, structure, physical properties, and characteristics, along with the best methods of working, cutting, and polishing it. There are even full treatments of lesser-known gems, from andalusite to vesuvian, and a special section is devoted to rocks as precious stones, including alabaster, onyx, obsidian, and fossils. Organic gem materials are also covered, such as coral, ivory, amber, and pearl. Charts and tables help collectors identify unknown gemstones and check for genuineness.