 |
|
|
Item Details
| Title:
|
A COURSE IN ARITHMETIC
|
| By: |
Jean-Pierre Serre |
| Format: |
Hardback |
| List price:
|
£54.99 |
|
We currently do not stock this item, please contact the publisher directly for
further information.
|
|
|
|
|
|
| ISBN 10: |
0387900403 |
| ISBN 13: |
9780387900407 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
10 October, 1996 |
| Edition: |
1st Corrected ed. 1973. Corr. 3rd printing 1996 |
| Series: |
Graduate Texts in Mathematics v. 7 |
| Pages: |
118 |
| Description: |
A modern introduction to three areas of number theory: quadratic forms, Dirichlet's density theorem and modular forms. "... Accessible to graduate or even undergraduate students, yet even the advanced mathematician will enjoy reading it." - American Scientist. |
| Synopsis: |
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. |
| Illustrations: |
biography |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Non-returnable |
|
|
|
 |
Ramadan and Eid al-Fitr
A celebratory, inclusive and educational exploration of Ramadan and Eid al-Fitr for both children that celebrate and children who want to understand and appreciate their peers who do.
|
|
|
|
|
|
|
|
|
|
|