Arithmetical Analysis, Or Higher Mental Arithmetic for Advanced Classes
Author: James Bates Thomson
Publisher:
Published: 1867
Total Pages: 204
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: James Bates Thomson
Publisher:
Published: 1867
Total Pages: 204
ISBN-13:
DOWNLOAD EBOOKAuthor: James Bates Thomson
Publisher:
Published: 1858
Total Pages: 400
ISBN-13:
DOWNLOAD EBOOKAuthor: James Bates Thomson
Publisher:
Published: 1875
Total Pages: 192
ISBN-13:
DOWNLOAD EBOOKAuthor: James Bates Thomson
Publisher:
Published: 1849
Total Pages: 418
ISBN-13:
DOWNLOAD EBOOKAuthor: James Bates Thomson
Publisher:
Published: 1851
Total Pages: 428
ISBN-13:
DOWNLOAD EBOOKAuthor: J-P. Serre
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 126
ISBN-13: 1468498843
DOWNLOAD EBOOKThis 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.
Author:
Publisher:
Published: 1860
Total Pages: 714
ISBN-13:
DOWNLOAD EBOOKAuthor:
Publisher:
Published: 1855
Total Pages: 668
ISBN-13:
DOWNLOAD EBOOKAuthor:
Publisher:
Published: 1891
Total Pages: 328
ISBN-13:
DOWNLOAD EBOOKAuthor: James Bates THOMSON
Publisher:
Published: 1852
Total Pages: 388
ISBN-13:
DOWNLOAD EBOOK