9780387900407-0387900403-A Course in Arithmetic (Graduate Texts in Mathematics, Vol. 7) (Graduate Texts in Mathematics, 7)

A Course in Arithmetic (Graduate Texts in Mathematics, Vol. 7) (Graduate Texts in Mathematics, 7)

ISBN-13: 9780387900407
ISBN-10: 0387900403
Edition: 1973
Author: J-P. Serre
Publication date: 1978
Publisher: Springer
Format: Hardcover 128 pages
FREE US shipping on ALL non-marketplace orders
Rent
35 days
from $40.13 USD
FREE shipping on RENTAL RETURNS
Marketplace
from $54.04 USD
Buy

From $54.04

Rent

From $40.13

Book details

ISBN-13: 9780387900407
ISBN-10: 0387900403
Edition: 1973
Author: J-P. Serre
Publication date: 1978
Publisher: Springer
Format: Hardcover 128 pages

Summary

A Course in Arithmetic (Graduate Texts in Mathematics, Vol. 7) (Graduate Texts in Mathematics, 7) (ISBN-13: 9780387900407 and ISBN-10: 0387900403), written by authors J-P. Serre, was published by Springer in 1978. With an overall rating of 4.0 stars, it's a notable title among other Pure Mathematics (Schools & Teaching, Mathematics) books. You can easily purchase or rent A Course in Arithmetic (Graduate Texts in Mathematics, Vol. 7) (Graduate Texts in Mathematics, 7) (Hardcover) from BooksRun, along with many other new and used Pure Mathematics books and textbooks. And, if you're looking to sell your copy, our current buyback offer is $17.05.

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 at the 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.

Rate this book Rate this book

We would LOVE it if you could help us and other readers by reviewing the book