{"product_id":"a-gateway-to-number-theory-applying-the-power-of-algebraic-curves-9781470456221","title":"A Gateway to Number Theory  Applying the Power of","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eChallenge: Can you find all the integers $a$, $b$, $c$ satisfying $2a^{2} + 3b^{2} = 5c^{2}$? Looks simple, and there are in fact a number of easy solutions. But most of them turn out to be anything but obvious! A major advance in number theory means this book can give an easy answer to this and countless similar questions.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eA marriage for the ages\u003c\/li\u003e\n\u003cli\u003eViewing the whole algebraic curve\u003c\/li\u003e\n\u003cli\u003eEntering the world of elliptic curves\u003c\/li\u003e\n\u003cli\u003eEvery elliptic curve is a group!\u003c\/li\u003e\n\u003cli\u003eA million-dollar challenge\u003c\/li\u003e\n\u003cli\u003eEvery real elliptic curve lives in a donut\u003c\/li\u003e\n\u003cli\u003eThe genus\u003c\/li\u003e\n\u003cli\u003eIn conclusion $\\ldots$\u003c\/li\u003e\n\u003cli\u003eWhat is a smooth complex curve?\u003c\/li\u003e\n\u003cli\u003eAlgebraic curves in the disk model\u003c\/li\u003e\n\u003cli\u003eSome code for this books's programs\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":51040117031255,"sku":"9781470456221","price":46.8,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/a-gateway-to-number-theory-applying-the-power-of-algebraic-curves-9781470456221","provider":"Book Curl","version":"1.0","type":"link"}