{"product_id":"primes-of-the-form-x2ny2-9781118390184","title":"Primes of the Form x2ny2","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eAn exciting approach to the history and mathematics of number theory\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e. . . the author's style is totally lucid and very easy to read . . .the result is indeed a wonderful story. \u003ci\u003eMathematical Reviews\u003cbr\u003e \u003cbr\u003e \u003c\/i\u003eWritten in a unique and accessible style for readers of varied mathematical backgrounds, the \u003ci\u003eSecond Edition\u003c\/i\u003e of \u003ci\u003ePrimes of the Form p = x\u003csub\u003e\u003ci\u003e2\u003c\/i\u003e\u003c\/sub\u003e\u003c\/i\u003e\u003ci\u003e+ ny\u003c\/i\u003e\u003csub\u003e\u003ci\u003e2\u003c\/i\u003e\u003c\/sub\u003e 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.\u003c\/p\u003e \u003cp\u003e\u003ci\u003ePrimes of the Form p = x\u003c\/i\u003e\u003csub\u003e\u003ci\u003e2\u003c\/i\u003e\u003c\/sub\u003e \u003ci\u003e+ ny\u003c\/i\u003e\u003csub\u003e\u003ci\u003e2\u003c\/i\u003e\u003c\/sub\u003e\u003ci\u003e, Second Edition\u003c\/i\u003e focuses on addressing the question of when a prime \u003ci\u003ep\u003c\/i\u003e is of the form \u003ci\u003ex\u003c\/i\u003e\u003csub\u003e\u003ci\u003e2\u0026lt;\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface to the First Edition ix\u003cbr\u003e\u003cbr\u003ePreface to the Second Edition xi\u003cbr\u003e\u003cbr\u003eNotation xiii\u003cbr\u003e\u003cbr\u003eIntroduction 1\u003cbr\u003e\u003cbr\u003eChapter One: From Fermat to Gauss\u003cbr\u003e\u003cbr\u003eChapter Two: Class Field Theory\u003cbr\u003e\u003cbr\u003eChapter Three: Complex Multiplication\u003cbr\u003e\u003cbr\u003eChapter Four: Additional Topics\u003cbr\u003e\u003cbr\u003eRefrences\u003cbr\u003e\u003cbr\u003eAdditional References\u003cbr\u003e\u003cbr\u003eIndex\u003c\/i\u003e\u003c\/sub\u003e\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":48738353086807,"sku":"9781118390184","price":46.76,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118390184.jpg?v=1723811963","url":"https:\/\/bookcurl.com\/products\/primes-of-the-form-x2ny2-9781118390184","provider":"Book Curl","version":"1.0","type":"link"}