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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.--

Numbers, Prime.

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Alejandro Lerroux (18641949) was one of the most polemical figures of early twentieth century Spanish politics. As leader of the Radical Republican Party and six-time prime minister between 1933 and 1935, his admirers saw him as a patriot determined to create a Republic for all citizens, while his critics denounced him as an opportunistic demagogue willing to sacrifice the Republic to its enemies. Like his French republican contemporary Georges Clemenceau, Lerrouxs long political journey took him from the fiery radical leftism of his youth to centrist consensual politics. Thus while Lerroux was the most significant advocate of a revolutionary break with Spains monarchical and authoritarian past before 1931, after the proclamation of the Second Republic he wished to build an inclusive and tolerant democracy. This book is the first scholarly biography in any language of this titan of modern Spanish politics. Nigel Townsons The Crisis of Democracy in Spain (2000) is the only book in English to discuss Lerrouxs career in any detail, but his study is restricted to the Second Republic. Utilising neglected primary material, Villa Garcia argues that Lerroux embodies the transition from the elitist liberal politics of the nineteenth century to the modern mass politics of the twentieth. Like the Second Republic itself, Lerrouxs political career ended in failure. The work is a timely reminder to students of modern Spain that the demise of Republican democracy was not inevitable. Nevertheless, after the abrupt end to Lerrouxs effort to sustain a broadly based moderate and democratic government, Spain would never again achieve stable and constitutional rule until 1977. The political defeat of Lerroux was a major turning point in the countrys history, a fateful step in the failure of democracy and the coming of civil war.

Prime ministers --- Lerroux, Alejandro,

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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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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.

Prime ministers --- Ben-Gurion, David,

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Veteran political journalist Peter Kennedy spent more than 40 years observing 11 Premiers of Western Australia - across an extraordinary period of change in Western Australia's history, from 1970 to 2013. His insider's accounts have revealed first-hand the issues linked with the jailing of two Premiers and a deputy Premier, the ruthless removal of a Premier mid-term, the election of the nation's first female Premier, and the sensational 'WA Inc.' Royal Commission. With the insightful commentary he is known for, Kennedy notes how the changes in the 11 Premiers reflected the development of the s

Prime ministers --- Chancellors (Prime ministers) --- Chief ministers (Prime ministers) --- First ministers (Prime ministers) --- Premiers (Prime ministers) --- Cabinet officers --- Heads of state --- Australia --- Politics and government.