书目名称 | Number Fields |
编辑 | Daniel A. Marcus |
视频video | |
概述 | Contains over 300 exercises.Assumes only basic abstract algebra.Covers topics leading up to class field theory |
丛书名称 | Universitext |
图书封面 |  |
描述 | .Requiring no more than a basic knowledge of abstract algebra, this textbook presents the basics of algebraic number theory in a straightforward, "down-to-earth" manner. It thus avoids local methods, for example, and presents proofs in a way that highlights key arguments. There are several hundred exercises, providing a wealth of both computational and theoretical practice, as well as appendices summarizing the necessary background in algebra...Now in a newly typeset edition including a foreword by Barry Mazur, this highly regarded textbook will continue to provide lecturers and their students with an invaluable resource and a compelling gateway to a beautiful subject... ..From the reviews:..“A thoroughly delightful introduction to algebraic number theory” – .Ezra Brown in the .Mathematical Reviews..“An excellent basis for an introductory graduate course in algebraic number theory” – .Harold Edwards in the .Bulletin of the American Mathematical Society. |
出版日期 | Textbook 2018Latest edition |
关键词 | number fields; number rings; prime decomposition in number rings; Galois theory applied to prime decomp |
版次 | 2 |
doi | https://doi.org/10.1007/978-3-319-90233-3 |
isbn_softcover | 978-3-319-90232-6 |
isbn_ebook | 978-3-319-90233-3Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
issn_series | 0172-5939 |
copyright | Springer Nature Switzerland AG 2018 |