{"product_id":"number-theory-h-g-zimmer-9783540427490","title":"Number Theory","description":"From the reviews: \u003cbr\u003e\"...a fine book ... treats algebraic number theory from the valuation-theoretic viewpoint. When it appeared in 1949 it was a pioneer. Now there are plenty of competing accounts. But Hasse has something extra to offer. This is not surprising, for it was he who inaugurated the local-global principle (universally called the Hasse principle). This doctrine asserts that one should first study a problem in algebraic number theory locally, that is, at the completion of a vaulation. Then ask for a miracle: that global validity is equivalent to local validity. Hasse proved that miracles do happen in his five beautiful papers on quadratic forms of 1923-1924. ... The exposition is discursive. ... It is trite but true: Every number-theorist should have this book on his or her shelf.\" \u003cbr\u003e(Irving Kaplansky in Bulletin of the American Mathematical Society, 1981)\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Helmut Hasse\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 354042749X\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783540427490\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 01\/10\/2002\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 640\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.22lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.72h x 6.82w x 1.44d","brand":"Helmut Hasse","offers":[{"title":"Paperback","offer_id":44125992091903,"sku":"9783540427490","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_9396d03e-f020-42ab-80b3-ca744193ff6e.jpg?v=1687445690","url":"https:\/\/www.whiterainbookhouse.com\/products\/number-theory-h-g-zimmer-9783540427490","provider":"WR Book House","version":"1.0","type":"link"}