| 书目名称 | Mathematical Structures |
| 副标题 | From Linear Algebra |
| 编辑 | Joachim Hilgert |
| 视频video | |
| 概述 | Provides an introduction to the mathematical structures that are of great importance in modern fields such as algebraic geometry.Shows the interplay of elementary structures and discusses details that |
| 丛书名称 | Mathematics Study Resources |
| 图书封面 |  |
| 描述 | .This textbook is intended to be accessible to any second-year undergraduate in mathematics who has attended courses on basic real analysis and linear algebra. It is meant to help students to appreciate the diverse specialized mathematics courses offered at their universities. Special emphasis is on similarities between mathematical fields and ways to compare them. The organizing principle is the concept of a mathematical structure which plays an important role in all areas of mathematics...The mathematical content used to explain the structural ideas covers in particular material that is typically taught in algebra and geometry courses. The discussion of ways to compare mathematical fields also provides introductions to categories and sheaves, whose ever-increasing role in modern mathematics suggests a more prominent role in teaching...The book is the English translation of the second edition of “Mathematische Strukturen” (Springer, 2024) written in German. The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content... . |
| 出版日期 | Textbook 20241st edition |
| 关键词 | Algebra; Manifolds; Modules; Algebraic varieties; Categories |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-69412-1 |
| isbn_softcover | 978-3-662-69411-4 |
| isbn_ebook | 978-3-662-69412-1Series 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 |
发表于 2025-3-21 19:25:10
