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"Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes of the Form p = x2+ ny2 details the history behind how Pierre de Fermat's work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. The book also illustrates how results of Euler and Gauss can be fully understood only in the context of class field theory, and in addition, explores a selection of the magnificent formulas of complex multiplication. Primes of the Form p = x2 + ny2, Second Edition focuses on addressing the question of when a prime p is of the form x2 + ny2, which serves as the basis for further discussion of various mathematical topics. This updated edition has several new notable features, including: A well-motivated introduction to the classical formulation of class field theory ; Illustrations of explicit numerical examples to demonstrate the power of basic theorems in various situations ; An elementary treatment of quadratic forms and genus theory ; Simultaneous treatment of elementary and advanced aspects of number theory ; New coverage of the Shimura reciprocity law and a selection of recent work in an updated bibliography. Primes of the Form p = x2 + ny2, Second Edition is both a useful reference for number theory theorists and an excellent text for undergraduate and graduate-level courses in number and Galois theory."--Publisher's website.

Numbers, Prime --- Mathematics

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This fascinating history uncovers the hidden political world of Ming China, exploring how the most powerful man in mid-sixteenth-century China steered the empire through the worst crises it had ever faced. Distinguished scholar John W. Dardess traces how Chief Grand Secretary Xu Jie rose to power and successfully shepherded the Ming empire through the destructive mid-sixteenth-century raids along its continental and maritime frontiers. He also shows how Xu Jie used the new Confucian thinking of the Wang Yangming school to build a political following, suppress bureaucratic corruptio

Prime ministers --- Xu, Jie, --- China --- History

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First Published in 1966. Routledge is an imprint of Taylor & Francis, an informa company.

Prime ministers --- Pitt, William, --- Great Britain --- Politics and government

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Strongman: The Extraordinary Life of Hun Sen is the biography of the Cambodian leader whose private life has been a closely guarded secret. Fully updated and revised from the authors' first edition (Hun Sen: Strongman of Cambodia, published 1999), this volume is based on recently declassified archival documents and hours of new interviews with Hun Sen, his wife Bun Rany, son Hun Manet, other family members and associates. The book chronicles the life of Hun Sen from obscurity as a pagoda boy to strongman status. It reveals the life of Hun Sen and Bun Rany under the Khmer Rouge regime, their tr

Prime ministers --- H'un, Saen. --- Cambodia --- Politics and government

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A portrait of the Israeli political and military leader evaluates his decisive roles in major historical events throughout the past four decades while analyzing the dramatic reversal that marked his decisions as prime minister.

PRIME MINISTERS--ISRAEL--BIOGRAPHY --- GENERALS--ISRAEL--BIOGRAPHY --- ISRAEL--MILITARY POLICYSHARON, ARIEL--BIOGRAPHYISRAEL--POLITICS AND GOVERNMENT