โ Scribed by Jean Pierre Serre
No coin nor oath required. For personal study only.
Serre's "A Course in Arithmetic" is a concentrated, modern introduction to basically three areas of number theory, quadratic forms, Dirichlet's density theorem, and modular forms. The first edition was very well accepted and is now one of the leading introductory texts on the advanced undergraduate or beginning graduate level. "...The book is carefully written - in particular very much self-contained. As was the intention of the author, it is easily accessible to graduate or even undergraduate students, yet even the advanced mathematician will enjoy reading it. The last chapter, more difficult for the beginner, is an introduction to contemporary problems." - "American Scientist".
๐ SIMILAR VOLUMES
A concentrated introduction to three major areas of number theory: quadratic forms; Dirichlet's density theorem; and modular forms. The text begins with fundamental concepts and progresses to more advanced problems.
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
Serre's A Course in Arithmetic is a concentrated, modern introduction to basically three areas of number theory, quadratic forms, Dirichlet's density theorem, and modular forms. The first edition was very well accepted and is now one of the leading introductory texts on the advanced undergraduate or
This book is very elegant, a pleasure to read, but not a great textbook -- after reading you are likely not to remember anything other than having enjoyed it (this is particularly true of the proof of Dirichlet's theorem). For actually learning to work in the subject (of analytic number theory), Dav