{"product_id":"primes-of-the-form-x2ny2","title":"Primes of the Form x2+ny2","description":"Condition: BRAND NEW\u003cbr\u003eISBN: 9781118390184\u003cbr\u003eYear: 2013\u003cbr\u003ePublisher: John Wiley \u0026amp; Sons Inc (US)\u003cbr\u003ePages: 384\u003cbr\u003e\u003cbr\u003e\u003cbr\u003eDescription:\u003cbr\u003e\u003cbr\u003e\u003cbr\u003eAn exciting approach to the history and mathematics of number\u003cbr\u003etheory\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e?. . . the author?s style is totally lucid and very\u003cbr\u003eeasy to read . . .the result is indeed a wonderful story.?\u003cbr\u003e?Mathematical Reviews\u003cbr\u003e\u003cbr\u003eWritten in a unique and accessible style for readers of varied\u003cbr\u003emathematical backgrounds, the Second Edition of Primes of\u003cbr\u003ethe Form p = x2+ ny2\u003cbr\u003edetails the history behind how Pierre de Fermat?s work\u003cbr\u003eultimately gave birth to quadratic reciprocity and the genus theory\u003cbr\u003eof quadratic forms. The book also illustrates how results of Euler\u003cbr\u003eand Gauss can be fully understood only in the context of class\u003cbr\u003efield theory, and in addition, explores a selection of the\u003cbr\u003emagnificent formulas of complex multiplication.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003ePrimes of the Form p = x2 +\u003cbr\u003eny2, Second Edition focuses on\u003cbr\u003eaddressing the question of when a prime p is of the form\u003cbr\u003ex2 + ny2,\u003cbr\u003ewhich serves as the basis for further discussion of various\u003cbr\u003emathematical topics. This updated edition has several new notable\u003cbr\u003efeatures, including:\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e? A well-motivated introduction to the classical\u003cbr\u003eformulation of class field theory\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e? Illustrations of explicit numerical examples to\u003cbr\u003edemonstrate the power of basic theorems in various situations\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e? An elementary treatment of quadratic forms and genus\u003cbr\u003etheory\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e? Simultaneous treatment of elementary and advanced\u003cbr\u003easpects of number theory\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e? New coverage of the Shimura reciprocity law and a\u003cbr\u003eselection of recent work in an updated bibli","brand":"Smartfox Books","offers":[{"title":"Default","offer_id":41633039908997,"sku":"PR91636","price":139.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0562\/0213\/3637\/files\/image_STJX4756HE1H.jpg?v=1778947404","url":"https:\/\/smartfoxbooks.com.au\/products\/primes-of-the-form-x2ny2","provider":"Smartfox Books","version":"1.0","type":"link"}