{"product_id":"introduction-to-number-theory-paperback-1","title":"Introduction to Number Theory - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eAnthony Vazzana\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\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\u003cp\u003eIdeal for a one- or two-semester undergraduate-level course, this \u003cb\u003eSecond Edition\u003c\/b\u003e: \u003c\/p\u003e\u003cul\u003e \u003cli\u003eFeatures a more flexible structure that offers a greater range of options for course design\u003c\/li\u003e \u003cli\u003eAdds new sections on the representations of integers and the Chinese remainder theorem\u003c\/li\u003e \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 \u003cli\u003eProvides calculations for computational experimentation using SageMath, a free open-source mathematics software system, as well as Mathematica(R) and Maple(TM), online via a robust, author-maintained website\u003c\/li\u003e \u003cli\u003eIncludes a solutions manual with qualifying course adoption\u003c\/li\u003e \u003c\/ul\u003e\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\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eMartin Erickson\u003c\/strong\u003e (1963-2013) received his Ph.D in mathematics in 1987 from the University of Michigan, Ann Arbor, USA, studying with Thomas Frederick Storer. He joined the faculty in the Mathematics Department of Truman State University, Kirksville, Missouri, USA, when he was twenty-four years old, and remained there for the rest of his life. Professor Erickson authored and coauthored several mathematics books, including the first edition of \u003ci\u003eIntroduction to Number Theory\u003c\/i\u003e (CRC Press, 2007), \u003ci\u003ePearls of Discrete Mathematics\u003c\/i\u003e (CRC Press, 2010), and \u003ci\u003eA Student's Guide to the Study, Practice, and Tools of Modern Mathematics\u003c\/i\u003e (CRC Press, 2010). \u003c\/p\u003e\u003cp\u003eAnthony Vazzana received his Ph.D in mathematics in 1998 from the University of Michigan, Ann Arbor, USA. He joined the faculty in the Mathematics Department of Truman State University, Kirksville, Missouri, USA, in 1998. In 2000, he was awarded the Governor's Award for Excellence in Teaching and was selected as the Educator of the Year. In 2002, he was named the Missouri Professor of the Year by the Carnegie Foundation for the Advancement of Teaching and the Council for Advancement and Support of Education.\u003c\/p\u003e\u003cp\u003eDavid Garth received his Ph.D in mathematics in 2000 from Kansas State University, Manhattan, USA. He joined the faculty in the Mathematics Department of Truman State University, Kirksville, Missouri, USA, in 2000. In 2005, he was awarded the Golden Apple Award from Truman State University's Theta Kappa chapter of the Order of Omega. His areas of research include analytic and algebraic number theory, especially Pisot numbers and their generalizations, and Diophantine approximation.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 426\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.87 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e October 14, 2024\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":48937594290278,"sku":"9781032920085","price":150.19,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0599\/7255\/0758\/files\/8R5WqSZBA89781032920085.webp?v=1790218260","url":"https:\/\/infinitylightwa.com\/products\/introduction-to-number-theory-paperback-1","provider":"Infinity Light","version":"1.0","type":"link"}