| 书目名称 | Elementary Galois Theory | | 副标题 | A Constructive Appro | | 编辑 | Marc Nieper-Wißkirchen | | 视频video | | | 概述 | Suitable for first-year students in Bachelor‘s and teacher training programmes.Consistently constructive approach facilitates understanding.Core statements and essential arguments are summarised | | 丛书名称 | Mathematics Study Resources | | 图书封面 |  | | 描述 | .Why is the squaring of the circle, why is the division of angles with compass and ruler impossible? Why are there general solution formulas for polynomial equations of degree 2, 3 and 4, but not for degree 5 or higher?..This textbook deals with such classical questions in an elementary way in the context of Galois theory. It thus provides a classical introduction and at the same time deals with applications. The point of view of a constructive mathematician is consistently adopted: To prove the existence of a mathematical object, an algorithmic construction of that object is always given. Some statements are therefore formulated somewhat more cautiously than is classically customary; some proofs are more elaborately conducted, but are clearer and more comprehensible. Abstract theories and definitions are derived from concrete problems and solutions and can thus be better understood and appreciated...The material in this volume can be covered in a one-semester lecture on algebra right at the beginning of mathematics studies and is equally suitable for first-year students at the Bachelor‘s level and for teachers...The central statements are already summarised and concisely presented | | 出版日期 | Textbook 2024 | | 关键词 | Galois theory; Resolvability of polynomial equations; Constructability of regular n-corners; Impossibil | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-66643-2 | | isbn_softcover | 978-3-662-66642-5 | | isbn_ebook | 978-3-662-66643-2Series ISSN 2731-3824 Series E-ISSN 2731-3832 | | issn_series | 2731-3824 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE |
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发表于 2025-3-21 17:55:08
