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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.
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.
Prof. Dr. Joachim Hilgert ist Professor im Ruhestand an der Universität Paderborn und hat zuvor die Arbeitsgruppe "Lie-Theorie" geleitet.
Prof. Dr. Tobias Weich forscht und lehrt an der Universität Paderborn und leitet dort die Arbeitsgruppe "Spektralanalysis".
I Algebraic Structures.- 1 Rings.- 2 Modules.- 3 Multilinear Algebra.- 4 Pattern Recognition.- II Local Structures.- 5 Sheaves.- 6 Manifolds.- 7 Algebraic Varieties.- III Outlook.- 8 Transfer of Arguments and Structures.- 9 Specialization, Generalization and Unification of Structures.
| Erscheinungsjahr: | 2024 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Mathematics Study Resources |
| Inhalt: |
x
333 S. 85 s/w Illustr. 333 p. 85 illus. |
| ISBN-13: | 9783662694114 |
| ISBN-10: | 3662694115 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Hilgert, Joachim |
| Hersteller: |
Springer
Springer-Verlag GmbH Mathematics Study Resources |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 19 mm |
| Von/Mit: | Joachim Hilgert |
| Erscheinungsdatum: | 22.09.2024 |
| Gewicht: | 0,522 kg |
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