{"product_id":"elliptic-curves-modular-forms-and-their-lfunctions-9780821852422","title":"Elliptic Curves Modular Forms and Their","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eAn introductory survey of elliptic curves, modular forms, and $L$-functions. The main goal is to provide the reader with the big picture of the surprising connections among these three families of mathematical objects and their meaning for number theory.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e...ambitious undergraduates need a chance to get to know the fabled cities, and now they have it. With any luck, they will fall in love with them and come help us explore their mysteries.\" - \u003cem\u003eMAA Reviews\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\"A welcome addition to a serious mathematics library.\" - Michael Berg, \u003cem\u003eMAA Reviews\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\"I think this is a wonderful book. In less than 200 pages Lozano-Robledo covers a solid amount of modern number theory in a manner altogether accessible to a novice, and in a fashion so as to convey number theory's irresistible beauty. . . . [T]he themes Lozano-Robledo addresses . . . are deep and sophisticated; considerable mathematical background is required for their mastery. But mastery is not what Lozano-Robledo is after: it's more along the lines of rendering 'the primary objects of study, the statements of the main theorems, and their corollaries . . . within the grasp of advanced undergraduates.' And in this objective Lozano-Robledo succeeds admirably. The book is full of examples and exercises of such appeal that a properly disposed rookie should go after nigh-on all of them; to boot, the author's narrative is compact and smooth. \u003cem\u003eElliptic Curves, Modular Forms, and Their L-Functions\u003c\/em\u003e is a marvelous addition to the literature. Had I had it available as a kid, it would have been among my very favorites!\" - \u003cem\u003eCHOICE Reviews\u003c\/em\u003e\u003cbr\u003e\u003cbr\u003e\"The most remarkable aspect [of the book] is the emphasis on detailed analysis of the definitions and complete explanation of the statements of the main theorems and corollaries.\" - J. R. Delgado, European Mathematical Society\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003ePreface\u003c\/li\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003eElliptic curves\u003c\/li\u003e\n\u003cli\u003eModular curves\u003c\/li\u003e\n\u003cli\u003eModular forms\u003c\/li\u003e\n\u003cli\u003e𝐿-functions\u003c\/li\u003e\n\u003cli\u003ePARI\/GP and Sage\u003c\/li\u003e\n\u003cli\u003eComplex analysis\u003c\/li\u003e\n\u003cli\u003eProjective space\u003c\/li\u003e\n\u003cli\u003eThe 𝑝-adic numbers\u003c\/li\u003e\n\u003cli\u003eParametrization of torsion structures\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":49963666473303,"sku":"9780821852422","price":47.7,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780821852422.jpg?v=1739085503","url":"https:\/\/bookcurl.com\/products\/elliptic-curves-modular-forms-and-their-lfunctions-9780821852422","provider":"Book Curl","version":"1.0","type":"link"}