Description
Condition
LIKE NEW: This book is in excellent, like-new condition. Its pages are clean, its binding is tight, and its covers are straight.
Product Details
This is Volume 7 in Springer’s Graduate Texts in Mathematics Series.
“The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Supérieure. 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.” — Jean-Pierre Serre, Author
BRIEF CONTENT
- Preface
- Part I – Algebraic Methods
- Chapter I – Finite Fields
- Appendix – Another proof of the quadratic reciprocity law
- Chapter II – p-adic fields
- Chapter III – Hilbert symbol
- Chapter IV – Quadratic forms over Qp and over Q
- Appendix – Sums of three squares
- Chapter V – Integral quadratic forms with discriminant ±1
- Part II – Analytic Methods
- Chapter VI – The theorem on arithmetic progressions
- Chapter VII – Modular forms
- Bibliography
- Index of Definitions
- Index of Notations