{"product_id":"introduction-to-number-theory-6","title":"Introduction to Number Theory","description":"Growing out of a course designed to teach Gauss's \u003cem\u003eDisquisitiones Arithmeticae\u003c\/em\u003e to honors-level undergraduates, Flath's \u003cem\u003eIntroduction to Number Theory\u003c\/em\u003e focuses on Gauss's theory of binary quadratic forms. It is suitable for use as a textbook in a course or self-study by advanced undergraduates or graduate students who possess a basic familiarity with abstract algebra. The text treats a variety of topics from elementary number theory including the distribution of primes, sums of squares, continued factions, the Legendre, Jacobi and Kronecker symbols, the class group and genera. But the focus is on quadratic reciprocity (several proofs are given including one that highlights the $p - q$ symmetry) and binary quadratic forms. The reader will come away with a good understanding of what Gauss intended in the \u003cem\u003eDisquisitiones\u003c\/em\u003e and Dirichlet in his \u003cem\u003eVorlesungen\u003c\/em\u003e. The text also includes a lovely appendix by J. P. Serre titled $\\Delta = b^2 - 4ac$.\u003cbr\u003e\u003cbr\u003eThe clarity of the author's vision is matched by the clarity of his exposition. This is a book that reveals the discovery of the quadratic core of algebraic number theory. It should be on the desk of every instructor of introductory number theory as a source of inspiration, motivation, examples, and historical insight.","brand":"American Mathematical Society","offers":[{"title":"Default Title","offer_id":54281032368472,"sku":null,"price":71.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781470446949_020272db-a380-4eb9-914d-2699f8cb7013.jpg?v=1778646656","url":"https:\/\/agendabookshop.com\/products\/introduction-to-number-theory-6","provider":"Agenda Bookshop","version":"1.0","type":"link"}