This is the ultimate collection of challenging high-school-level mathematics problems. It is the result of a two year long collaboration to rescue these problems from old and scattered manuscripts, and produce the definitive source of IMO practice problems in book form for the first time. This book attempts to gather all the problems and solutions appearing on the IMO and contains a grand total of 1900 problems. It is an invaluable resource for high-school students preparing for mathematics competitions, and for anyone who loves math.
From the time of Aristotle until the late eighteenth century, meteorology meant the study of "meteors"—spectacular objects in the skies beneath the moon, which included everything from shooting stars to hailstorms. In Reading the Skies, Vladimir Jankovic traces the history of this meteorological tradition in Enlightenment Britain, examining its scientific and cultural significance. Jankovic interweaves classical traditions, folk/popular beliefs and practices, and the increasingly quantitative approaches of urban university men to understanding the wonders of the skies. He places special emphasis on the role that detailed meteorological observations played in natural history and chorography, or local geography; in religious and political debates; and in agriculture. Drawing on a number of archival sources, including correspondence and weather diaries, as well as contemporary pamphlets, tracts, and other printed sources reporting prodigious phenomena in the skies, this book will interest historians of science, Britain, and the environment.
This book explores the social origins of the Western preoccupation with health and environmental hazards. It looks at the rise of the dichotomy between the vulnerable 'in' and the threatening 'out' by examining the pathologies associated with weather, domestic space, ventilation, clothing, and travel in Britain at the turn of the 19th century.
From the time of Aristotle until the late eighteenth century, meteorology meant the study of "meteors"—spectacular objects in the skies beneath the moon, which included everything from shooting stars to hailstorms. In Reading the Skies, Vladimir Jankovic traces the history of this meteorological tradition in Enlightenment Britain, examining its scientific and cultural significance. Jankovic interweaves classical traditions, folk/popular beliefs and practices, and the increasingly quantitative approaches of urban university men to understanding the wonders of the skies. He places special emphasis on the role that detailed meteorological observations played in natural history and chorography, or local geography; in religious and political debates; and in agriculture. Drawing on a number of archival sources, including correspondence and weather diaries, as well as contemporary pamphlets, tracts, and other printed sources reporting prodigious phenomena in the skies, this book will interest historians of science, Britain, and the environment.
The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics. The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world. Until the first edition of this book appearing in 2006, it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. "The IMO Compendium" is the result of a collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO through 2009. This second edition contains 143 new problems, picking up where the 1959-2004 edition has left off.
This WWII history and visitor’s guide explores the extensive network of Nazi fortifications built to defend Fortress Europe. Hitler's Atlantic Wall, the complex system of coastal fortifications that stretched from Norway to the Spanish border during the Second World War, was built to defend occupied Europe from Allied invasion. Many of its principal structures survive and can be visited today. This authoritative guide provides both practical information for visitors and essential historical context. The wall, which was constructed on a massive scale between 1942 and 1944 by German engineers, forced laborers and troops, consisted of strong points, artillery casemates, bunkers, troop shelters, minefields, anti-tank and anti-boat obstacles. It also included the concrete U-boat and E-boat pens in the key ports and, behind the Channel coast, the V-weapon sites. This huge scheme of fortifications was one of the longest series of defensive lines in military history. This comprehensive volume takes readers and visitors through the entire story of the fortifications from the fall of France to the D-Day invasion on the beaches of Normandy that finally broke through. As a guide to some of the most impressive relics of the Second World War, this book is essential reading for travelers or anyone interested in the liberation of occupied Europe.
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