{"product_id":"fundamentals-of-number-theory-9780486689067","title":"Fundamentals of Number Theory","description":"\u003cp\u003eThis excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given -- making the book self-contained in this respect.\u003cbr\u003eThe author begins with an introductory chapter on number theory and its early history. Subsequent chapters deal with unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diophantine approximation, and more. Included are discussions of topics not always found in introductory texts: factorization and primality of large integers, \u003ci\u003ep\u003c\/i\u003e-adic numbers, algebraic number fields, Brun's theorem on twin primes, and the transcendence of \u003ci\u003ee\u003c\/i\u003e, to mention a few.\u003cbr\u003eReaders will find a substantial number of well-chosen problems, along with many notes and bibliographical references selected for readability and relevance. Five helpful appendixes -- containing such study aids as a factor table, computer-plotted graphs, a table of indices, the Greek alphabet, and a list of symbols -- and a bibliography round out this well-written text, which is directed toward undergraduate majors and beginning graduate students in mathematics. No post-calculus prerequisite is assumed. 1977 edition.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Dover Publications\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 02\/07\/1996\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780486689067\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 288\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.62lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.20h x 5.62w x 0.57d","brand":"William J. Leveque","offers":[{"title":"Default Title","offer_id":36637897752732,"sku":"9780486689067","price":12.71,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0473\/0804\/6492\/products\/img_6bc9e70f-de9e-40ef-a434-09aa8ea0d1cc.jpg?v=1603845956","url":"https:\/\/pastforward.org\/products\/fundamentals-of-number-theory-9780486689067","provider":"Past Forward","version":"1.0","type":"link"}