{"product_id":"algebraic-theory-of-numbers-translated-from-the-french-by-allan-j-silberger-9780486466668","title":"Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger","description":"Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studies of algebraic number theory by encountering many concepts fundamental to other branches of mathematics -- algebraic geometry, in particular.\u003cbr\u003eThis book assumes a knowledge of basic algebra but supplements its teachings with brief, clear explanations of integrality, algebraic extensions of fields, Galois theory, Noetherian rings and modules, and rings of fractions. It covers the basics, starting with the divisibility theory in principal ideal domains and ending with the unit theorem, finiteness of the class number, and the more elementary theorems of Hilbert ramification theory. Numerous examples, applications, and exercises appear throughout the text.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=AUTH-1950040\"\u003ePierre Samuel\u003c\/a\u003e\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Dover Publications\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/19\/2008\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 109\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.35lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.16h x 6.19w x 0.23d\u003cbr\u003e\u003cb\u003eISBN13:\u003c\/b\u003e 9780486466668\u003cbr\u003e\u003cb\u003eISBN10:\u003c\/b\u003e 0486466663\u003cbr\u003e\u003cb\u003eBISAC Categories:\u003c\/b\u003e\u003cbr\u003e- \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=CAT-MAT\"\u003eMathematics\u003c\/a\u003e | \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=BISAC-MAT022000\"\u003eNumber Theory\u003c\/a\u003e\u003cbr\u003e- \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=CAT-MAT\"\u003eMathematics\u003c\/a\u003e | \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=BISAC-MAT002000\"\u003eAlgebra | General\u003c\/a\u003e\u003cbr\u003e\u003cp\u003e\u003ci\u003eThis title is not returnable\u003c\/i\u003e\u003cbr\u003e\u003c\/p\u003e","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":42685583196397,"sku":"9780486466668","price":10.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0550\/8097\/6621\/products\/img_d8f30847-27a4-45ca-805f-0eac0ed2151e.jpg?v=1649767746","url":"https:\/\/sureshotbooks.com\/products\/algebraic-theory-of-numbers-translated-from-the-french-by-allan-j-silberger-9780486466668","provider":"SureShot Books Publishing LLC","version":"1.0","type":"link"}