{"product_id":"number-theory-9780691159409","title":"Number Theory","description":"\u003cp\u003e\u003cb\u003eAn introductory textbook with a unique historical approach to teaching number theory\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eThe natural numbers have been studied for thousands of years, yet most undergraduate textbooks present number theory as a long list of theorems with little mention of how these results were discovered or why they are important. This book emphasizes the historical development of number theory, describing methods, theorems, and proofs in the contexts in which they originated, and providing an accessible introduction to one of the most fascinating subjects in mathematics.\u003cbr\u003e\u003cbr\u003eWritten in an informal style by an award-winning teacher, \u003ci\u003eNumber Theory\u003c\/i\u003e covers prime numbers, Fibonacci numbers, and a host of other essential topics in number theory, while also telling the stories of the great mathematicians behind these developments, including Euclid, Carl Friedrich Gauss, and Sophie Germain. This one-of-a-kind introductory textbook features an extensive set of problems that enable students to actively reinforce and extend their understanding of the material, as well as fully worked solutions for many of these problems. It also includes helpful hints for when students are unsure of how to get started on a given problem.\u003cbr\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eUses a unique historical approach to teaching number theory\u003c\/li\u003e\n\u003cli\u003eFeatures numerous problems, helpful hints, and fully worked solutions\u003c\/li\u003e\n\u003cli\u003eDiscusses fun topics like Pythagorean tuning in music, Sudoku puzzles, and arithmetic progressions of primes\u003c\/li\u003e\n\u003cli\u003eIncludes an introduction to Sage, an easy-to-learn yet powerful open-source mathematics software package\u003c\/li\u003e\n\u003cli\u003eIdeal for undergraduate mathematics majors as well as non-math majors\u003c\/li\u003e\n\u003cli\u003eDigital solutions manual (available only to professors)\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"John J. Watkins","offers":[{"title":"Default Title","offer_id":42956775456886,"sku":"9780691159409","price":105.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0671\/1374\/6550\/files\/CoreSourceHub_32a351a2-da21-4d9c-b3a2-aecdd314cf3d.jpg?v=1767712040","url":"https:\/\/ingramacademic.com\/products\/number-theory-9780691159409","provider":"Ingram Academic \u0026 Professional","version":"1.0","type":"link"}