{"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","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":50324842414354,"sku":"9780486689067","price":10.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_8514f8fe-2367-4dc9-a396-d13842d06a68.jpg?v=1727676245","url":"https:\/\/surprise-castle.myshopify.com\/products\/fundamentals-of-number-theory-9780486689067","provider":"Surprise Castle","version":"1.0","type":"link"}