{"product_id":"9781032920085-introduction-to-number-theory","title":"Introduction to Number Theory","description":"\u003cmeta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\"\u003e\u003cp\u003e\u003cspan\u003eThis classroom-tested, student-friendly text covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth problem. Ideal for a one- or two-semeste\u003cbr\u003e\u003cp\u003e\u003cstrong\u003eIntroduction to Number Theory\u003c\/strong\u003e is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler’s theorem in RSA encryption, and quadratic residues in the construction of tournaments. \u003c\/p\u003e\n\u003cp\u003eIdeal for a one- or two-semester undergraduate-level course, this \u003cb\u003eSecond Edition\u003c\/b\u003e:\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eFeatures a more flexible structure that offers a greater range of options for course design\u003c\/li\u003e\n\u003cli\u003eAdds new sections on the representations of integers and the Chinese remainder theorem\u003c\/li\u003e\n\u003cli\u003eExpands exercise sets to encompass a wider variety of problems, many of which relate number theory to fields outside of mathematics (e.g., music)\u003c\/li\u003e\n\u003cli\u003eProvides calculations for computational experimentation using SageMath, a free open-source mathematics software system, as well as Mathematica® and Maple™, online via a robust, author-maintained website\u003c\/li\u003e\n\u003cli\u003eIncludes a solutions manual with qualifying course adoption\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003eBy tackling both fundamental and advanced subjects—and using worked examples, numerous exercises, and popular software packages to ensure a practical understanding—\u003cstrong\u003eIntroduction to Number Theory, Second Edition\u003c\/strong\u003e instills a solid foundation of number theory knowledge.\u003c\/p\u003e\n\u003cbr\u003e\u003cbr\u003e\u003c\/span\u003e\u003c\/p\u003e","brand":"Rarewaves","offers":[{"title":"Default Title","offer_id":56434712445302,"sku":"9781032920085","price":83.73,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0092\/7504\/8033\/files\/stand_36619982.jpg?v=1760594214","url":"https:\/\/www.rarewaves.com\/products\/9781032920085-introduction-to-number-theory","provider":"Rarewaves.com","version":"1.0","type":"link"}