| 书目名称 | Galois Theory Through Exercises |
| 编辑 | Juliusz Brzeziński |
| 视频video | |
| 概述 | Provides a hands-on approach to learning Galois theory, focusing on problem-solving exercises.Features almost 500 exercises with hints, answers or solutions.Includes Maple tutorials and exercises |
| 丛书名称 | Springer Undergraduate Mathematics Series |
| 图书封面 |  |
| 描述 | This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises). .In addition to covering standard material, the book explores topics related to classical problems such as Galois’ theorem on solvable groups of polynomial equations of prime degrees, Nagell‘s proof of non-solvability by radicals of quintic equations, Tschirnhausen‘s transformations, lunes of Hippocrates, and Galois‘ resolvents. Topics related to open conjectures are also discussed, including exercises related to the inverse Galois problem and cyclotomic fields. The author presents proofs of theorems, historical comments and useful references alongside the exercises, providing readers with a well-rounded introduction to the subject and a gateway to further reading...A valuable reference and a rich source of exercises with sample solutions, this book will be useful to both students and lecturers. Its original concept makes it particularly suitable for self-study.. |
| 出版日期 | Textbook 2018 |
| 关键词 | Galois theory; Galois theory exercises; Galois theory computer-assisted examples; cubic and quartic equ |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-72326-6 |
| isbn_softcover | 978-3-319-72325-9 |
| isbn_ebook | 978-3-319-72326-6Series ISSN 1615-2085 Series E-ISSN 2197-4144 |
| issn_series | 1615-2085 |
| copyright | Springer International Publishing AG, part of Springer Nature 2018 |
发表于 2025-3-21 17:55:08
