|
|
libcats.org
Algebraic Number Theory (Cambridge Studies in Advanced Mathematics)A. Fröhlich, M. J. TaylorIt is an unfortunate feature of number theory that few of the books explain clearly the motivation for much of the technology introduced. Similarly, half of this book is spent proving properties of Dedekind domains before we see much motivation.
That said, there are quite a few examples, as well as some concrete and enlightening exercises (in the back of the book, separated by chapter). There is also a chapter, if the reader is patient enough for it, on Diophantine equations, which gives a good sense of what all this is good for. The perspective of the book is global. Central themes are the calculation of the class number and unit group. The finiteness of the class number and Dirichlet's Unit Theorem are both proved. L-functions are also introduced in the final chapter. While the instructor should add more motivation earlier, the book is appropriate for a graduate course in number theory, for students who already know, for instance, the classification of finitely generated modules over a PID. It may be better than others, but would be difficult to use for self-study without additional background.
Популярные книги за неделю:
Тестирование Дот Ком, или Пособие по жестокому обращению с багами в интернет-стартапахАвтор: Роман Савин
Размер книги: 5.26 Mb
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Только что пользователи скачали эти книги:
Securing Emerging Wireless Systems: Lower-layer ApproachesАвтор: Yingying Chen, Автор: Wenyuan Xu, Автор: Wade Trappe, Автор: YanYong ZhangКатегория: Компьютеры, Сети
Размер книги: 10.16 Mb
The Sublime Object of Ideology (Second Edition) (The Essential Zizek)Автор: Slavoj ZizekКатегория: Экономика
Размер книги: 6.94 Mb
The Fruits of the Holy Spirit:The Transforming Power of God in Us (Epub & Mobi)Автор: Michael CaputoКатегория: Christian
Размер книги: 703 Kb
|
|
|