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Mathematicians have recently made dramatic progress on the Twin Primes Conjecture, which asserts that there are infinitely many pairs of prime numbers that differ by 2. This book will describe two stories: that of the recent work on the Twin Primes Conjecture, and in parallel the related ideas from the previous two thousand years of mathematics.--
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Britain is in crisis. Unrest and inner city tensions feed on unemployment. And as the Government struggles to contain the soaring debt, no one listens. Most are tired of PR-savvy' words, tired of the blame-game' that poses as debate.Divisions in the Cabinet force the premier's resignation. Because circumstances are too dire to afford the luxury of an election, the Queen calls a meeting of the three main party leaders.Some days previously, the Leader of the Opposition had received a letter that intrigued him. The writer, in fact, had held little hope of making contact. For him, it was one last try. Yet much to his amazement he received a phone call from the opposition leader's secretary. When they met, the Leader of the Opposition was polite, but blunt: Why should you see the answer when all the experts down the ages have ignored it?' he asked - yet, his interest had been aroused.Following the meeting with the Queen, it was announced that the Leader of the Opposition had been asked to form a national government. With the support of the other two party leaders, he sets out to win over the cabinet, parliament and the country to implement the reform recommended by the letter writer.
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Searching for small gaps between consecutive primes is one way to approach the twin primes conjecture, one of the most celebrated unsolved problems in number theory. This book documents the remarkable developments of recent decades, whereby an upper bound on the known gap length between infinite numbers of consecutive primes has been reduced to a tractable finite size. The text is both introductory and complete: the detailed way in which results are proved is fully set out and plenty of background material is included. The reader journeys from selected historical theorems to the latest best result, exploring the contributions of a vast array of mathematicians, including Bombieri, Goldston, Motohashi, Pintz, Yildirim, Zhang, Maynard, Tao and Polymath8. The book is supported by a linked and freely-available package of computer programs. The material is suitable for graduate students and of interest to any mathematician curious about recent breakthroughs in the field.
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Starting with an illuminating historical survey, Mr. Carter devotes the main portion of his hook to the position of the British Prime Minister since 1894, with emphasis on the realities of British politics today. The relations of the Prime Minister with the public, his party, the Cabinet, and Parliament are discussed, and the problem of public relations generally is fully taken into account. Professor Carter fills an important gap, and provides an authoritative and readable commentary on British political life.Originally published in 1955.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Great Britain. --- Prime Minister of Britain --- Prime ministers
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Churchill took a three-month vacation to North America in the summer and fall of 1929, a little known event in his long career. In the company of his son Randolph, his brother Jack and his nephew Johnny, the Churchills toured Canada and the U.S. Notable events include Churchill's meeting with important figures in politics, business, newspapers and entertainment (President Hoover, Prime Minister Mackenzie King, Bernard Baruch, William Randolph Hearst and Charlie Chaplin) as well as his visits to such natural landmarks as the Grand Canyon, Lake Louise, Niagara Falls, and Yosemite. The Churchills
Prime ministers --- Churchill, Winston, --- Travel
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This is the first in-depth account of the later years of David Ben-Gurion (1886-1973), Israel's first Prime Minister and founding father. One of the first to sign Israel's declaration of independence and a leading figure in Zionism, Ben-Gurion stepped down from office in 1963 and retired from political life in 1970, deeply disappointed about the path on which the state had embarked and the process that brought about the end of his political career. Based on his personal archives and new interviews with his intimate friends and family, the book reveals how the founding father explored the Israe
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An insightful study of the inner life of the Zionist leader responsible for the creation of the state of Israel David Ben-Gurion cast a great shadow during his lifetime, and his legacy continues to be sharply debated to this day. There have been many books written about the life and accomplishments of the Zionist icon and founder of modern Israel, but this new biography by eminent Israeli historian Anita Shapira strives to get to the core of the complex man who would become the face of the new Jewish nation. Shapira tells the Ben-Gurion story anew, focusing especially on the period after 1948, during the first years of statehood. As a result of her extensive research and singular access to Ben-Gurion's personal archives, the author provides fascinating and original insights into his personal qualities and those that defined his political leadership. As Shapira writes, "Ben-Gurion liked to argue that history is made by the masses, not individuals. But just as Lenin brought the Bolshevik Revolution into the world and Churchill delivered a fighting Britain, so with Ben-Gurion and the Jewish state. He knew how to create and exploit the circumstances that made its birth possible." Shapira's portrait reveals the flesh-and-blood man who more than anyone else realized the Israeli state.
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The Biographical Dictionary of British Prime Ministers is a wide-ranging, comprehensive guide to the political lives of Britain's prime ministers from Sir Robert Walpole to Tony Blair. Written by some of the leading authorities on British politics this authoritative dictionary provides essential information about each premiership, including facts and analytical debate. Each entry has been written to the same formula and contains: * brief biographical information outlining career history and significant dates and events * a brief summary of the significance and peculiaritie
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