{"product_id":"9780387900407","title":"Graduate Texts in Mathematics","description":"\u003ch1\u003eGraduate Texts in Mathematics\u003c\/h1\u003e \u003ch2\u003eSerre, J-P.\u003c\/h2\u003e \u003cp\u003eThis 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1978-11-29\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780387900407\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4684-9884-4\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 119\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":44499561480332,"sku":"9780387900407","price":71.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780387900407.jpg?v=1775711599","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780387900407","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}