{"product_id":"an-invitation-to-modern-number-theory-9780691120607","title":"An Invitation to Modern Number Theory","description":"\u003cp\u003eIn a manner accessible to beginning undergraduates, \u003ci\u003eAn Invitation to Modern Number Theory\u003c\/i\u003e introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory. Showing how experiments are used to test conjectures and prove theorems, the book allows students to do original work on such problems, often using little more than calculus (though there are numerous remarks for those with deeper backgrounds). It shows students what number theory theorems are used for and what led to them and suggests problems for further research. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e Steven Miller and Ramin Takloo-Bighash introduce the problems and the computational skills required to numerically investigate them, providing background material (from probability to statistics to Fourier analysis) whenever necessary. They guide students through a variety of problems, ranging from basic number theory, cryptography, and Goldbach's Problem, to the algebraic structures of numbers and continued fractions, showing connections between these subjects and encouraging students to study them further. In addition, this is the first undergraduate book to explore Random Matrix Theory, which has recently become a powerful tool for predicting answers in number theory. \u003cp\u003e\u003c\/p\u003e Providing exercises, references to the background literature, and Web links to previous student research projects, \u003ci\u003eAn Invitation to Modern Number Theory\u003c\/i\u003e can be used to teach a research seminar or a lecture class.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Steven J. Miller, Ramin Takloo-Bighash\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/26\/2006\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 528\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.88lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.44h x 6.34w x 1.56d\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780691120607\u003cbr\u003e\u003cp\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cb\u003eSteven J. Miller\u003c\/b\u003e is an Assistant Professor of Mathematics at Brown University. \u003cb\u003eRamin Takloo-Bighash\u003c\/b\u003e is an Assistant Professor of Mathematics at Princeton University.\u003cbr\u003e\u003c\/p\u003e","brand":"Princeton University Press","offers":[{"title":"Hardcover","offer_id":40087135944819,"sku":"9.78E+12","price":91.95,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/products\/img_9edb672e-b6c0-4d00-be67-e2128e7e74ad.jpg?v=1652538635","url":"https:\/\/bookstorenmore.com\/en-de\/products\/an-invitation-to-modern-number-theory-9780691120607","provider":"Bookstore N More","version":"1.0","type":"link"}