|
Booksee.org
Advanced Number TheoryHarvey CohnFrom 1962, this is a detailed account of quadratic number fields, and makes a fair introduction to the theory of number fields of any degree. Ideal theory (restricted to the quadratic case) is well covered in plenty of detail. Gauss's classic theory of binary quadratic forms is also included.
Cohn is clearly quite keen on the subject, and is not just writing a textbook on some arbitrary topic for which he thinks there might be a market. And he has no fear of including pedagogical remarks in a textbook. The English is a bit awkward in places, but that is a minor thing. The basics about characters and Dirichlet L-series are developed, but only to the extent needed to give Dirichlet's original proof of his theorem on arithmetic progressions. That proof, unlike later ones, uses Dirichlet's class number formula for quadratic fields, and is worth a look. There is a lengthy but now dated bibliography. An unusual feature is a table (from Sommer's 1911 book) describing the structure of Z[sqrt(n)] for all nonsquare n from -99 to 99. Ссылка удалена правообладателем ---- The book removed at the request of the copyright holder.
Популярные книги за неделю:
#3
Самодельные детали для сельского радиоприемникаАвторы: З.Б.Гинзбург, Ф.И.Тарасов.Категория: радиоэлектроника
1.40 Mb
#10
Вероятность и статистика. 10-11 классыБродский И.Л., Мешавкина О.С.Категория: M_Mathematics, MSch_School-level
1.24 Mb
Только что пользователи скачали эти книги:
#3
Изделие 2А42. Инструкция по эксплуатации. 2А42.00.000 Инструкция по эксплуатацииКатегория: Военная техника
3.41 Mb
#8
Устройство, наладка и эксплуатация металлообрабатывающих станков и автоматических линийЛисовой А.И.
36.27 Mb
#9
Химическая физика на пороге XXI векаШилов А.Е., Денисов Е.Т., Мержанов А.Г., Фортов В.Е., Гольданский В.И., Сергеев Г.Б., Варфоломеев С.Д., Семенов Н.Н., Barton D.H.R., Taylor D.K., Кузьмин М.Г., Рудаков Е.С., Волкова Л.К., Азатян В.В., Alemany P., Hoffman R., Boorse R.S., Burlitch J.M., Ми
3.00 Mb
|
|