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Mathematical Structures: From Linear Algebra Over Rings to Geometry with Sheaves

Mathematical Structures: From Linear Algebra Over Rings to Geometry with Sheaves - Paperback

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Availability:In StockContributor:Joachim HilgertSeries:Mathematics Study Resources #13Publish date:2024-08-07Pages:333
Language:EnglishPublisher:SpringerISBN-13:9783662694114ISBN-10:3662694115UPC:9783662694114Book Category:MathematicsBook Subcategory:Geometry, Mathematical Analysis, AlgebraBook Topic:Algebraic, AbstractSize:9.21 x 6.14 x 0.72 inchesWeight:1.0604Product ID:SC8RY5MZS8

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.

Language:EnglishPublisher:SpringerISBN-13:9783662694114ISBN-10:3662694115UPC:9783662694114Book Category:MathematicsBook Subcategory:Geometry, Mathematical Analysis, AlgebraBook Topic:Algebraic, AbstractSize:9.21 x 6.14 x 0.72 inchesWeight:1.0604Product ID:SC8RY5MZS8

Joachim Hilgert is a retired professor of mathematics at the University of Paderborn.


Publisher: Springer

Edition

2024 Edition

Contributor(s)

Joachim Hilgert

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