{"product_id":"a-course-in-arithmetic-j-p-serre-9780387900407","title":"A Course in Arithmetic","description":"This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant   I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses \"analytic\" methods (holomor- phic functions). Chapter VI gives the proof of the \"theorem on arithmetic progressions\" due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students atthe Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e J-P Serre\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0387900403\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780387900407\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/29\/1978\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 119\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.75lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.55h x 6.33w x 0.56d","brand":"J-P Serre","offers":[{"title":"Hardcover","offer_id":43980917833983,"sku":"9780387900407","price":64.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_4702953f-31c7-4df2-947e-5fc79e69d23c.jpg?v=1683252647","url":"https:\/\/www.whiterainbookhouse.com\/products\/a-course-in-arithmetic-j-p-serre-9780387900407","provider":"WR Book House","version":"1.0","type":"link"}