| 书目名称 | Introduction to Galois Theory |
| 编辑 | David Hernandez,Yves Laszlo |
| 视频video | http://file.papertrans.cn/477/476479/476479.mp4 |
| 概述 | Concise, yet highly motivated introduction.Introduces modern methods such as reduction modulo primes.Includes numerous reviews exercises with solutions |
| 丛书名称 | Springer Undergraduate Mathematics Series |
| 图书封面 |  |
| 描述 | .This textbook provides an undergraduate introduction to Galois theory and its most notable applications...Galois theory was born in the 19th century to study polynomial equations. Both powerful and elegant, this theory was at the origin of a substantial part of modern algebra and has since undergone considerable development. It remains an extremely active research subject and has found numerous applications beyond pure mathematics. In this book, the authors introduce Galois theory from a contemporary point of view. In particular, modern methods such as reduction modulo prime numbers and finite fields are introduced and put to use. Beyond the usual applications of ruler and compass constructions and solvability by radicals, the book also includes topics such as the transcendence of .e. and π, the inverse Galois problem, and infinite Galois theory...Based on courses of the authors at the École Polytechnique, the book is aimed at students with a standard undergraduate background in (mostly linear) algebra. It includes a collection of exam questions in the form of review exercises, with detailed solutions.. |
| 出版日期 | Textbook 2024 |
| 关键词 | textbook on Galois theory; ruler and compass constructions; ring theory; field extensions; finite fields |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-66182-2 |
| isbn_softcover | 978-3-031-66181-5 |
| isbn_ebook | 978-3-031-66182-2Series ISSN 1615-2085 Series E-ISSN 2197-4144 |
| issn_series | 1615-2085 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
|Archiver|手机版|小黑屋|
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