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A Course in Arithmetic

Door Jean-Pierre Serre

Categorie	Algemeen wetenschap
Boeknummer	#340901-ZA15
Titel	A Course in Arithmetic
Auteur	Serre, Jean-Pierre
Boektype	Gebonden hardcover
Uitgeverij	New York : Springer-Verlag
Jaar van uitgave	1985
ISBN10	0387900403
ISBN13	9780387900407
Taal	Engels
Beschrijving	Original boards, illustrated with numerous equations and diagrams, 8vo. Graduate Texts in Mathematics, 7.
Samenvatting	. 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,... (Lees verder) 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)
Pagina's	167
Conditie	Goed — Name in pen on title page, spine discoloured.
Prijs	€ 30,00

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