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Books, Free Shipping, A Course In Arithmetic

Posted at: Offers to Sell and Export | Posted on: Tue 27 Jul, 2010 8:24 am | Product Category: Reference books [3760]
 
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Product Details

Author Jean Pierre Serre


Publisher World Publishing Corporation

Isbn 7510005353, 9787510005350

Published

August 2009

Pages 115

Size 24k

Edition First

Format Paperback

Language English

Page material gelatine plate paper

Product Description:

The first one is purely algebraic. Its objective is the classification ofquadratic forms over the field of rational numbers (Hasse-Minkowskitheorem). It is achieved in Chapter IV. The first three chapters contain somepreliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols.Chapter V applies the preceding results to integral quadratic forms indiscriminant + 1. 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 arithmeticprogressions" due to Dirichlet; this theorem is used at a critical point in thefirst part (Chapter 111, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms ofChapter V reappear here.



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