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- Дата: 22-08-2021, 10:57
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Автор: Thomas Q. Sibley
Издательство: American Mathematical Society
Год: 2021
Формат: True PDF
Страниц: 496
Размер: 18,7 Mb
Язык: English
Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It succeeds in combining the advantages of rings\-first and groups\-first approaches while avoiding the disadvantages. After an historical overview, the first chapter studies familiar examples and elementary properties of groups and rings simultaneously to motivate the modern understanding of algebra. The text builds intuition for abstract algebra starting from high school algebra. In addition to the standard number systems, polynomials, vectors, and matrices, the first chapter introduces modular arithmetic and dihedral groups.