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

J-P. Serre




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 | #919385 in Books |  Springer |  1996-10-10 | Original language:English | PDF # 1 |  9.21 x.38 x6.14l,2.00 | File type: PDF | 118 pages

 | Springer

||5 of 5 people found the following review helpful.| Poorly printed|By Ole Jastrau|I recently bought a copy on of this (terse but excellent) classic book. On the copyright page it says "Printed and bound by R. R. Donnelley and Sons, Harrisonburg, VA." The print quality is noticeably poor -- the text is gray, and the detail is coarse, like an old low-resolution laser printer. There are also a few little blips where, for example,| ||“The book is a showcase of how some results in classical number theory (the Arithmetic of the title) can be derived quickly using abstract algebra. … There are a reasonable number of worked examples, and they are very well-chosen. … this b

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 ...

You easily download any file type for your device.A Course in Arithmetic (Graduate Texts in Mathematics, Vol. 7)   |  J-P. Serre. Just read it with an open mind because none of us really know.

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