ENGLISH

Mathematical Structures - From Linear Algebra over Rings to Geometry with Sheaves

By Joachim Hilgert

Book information

Year
2024
ISBN
9783662694114, 9783662694121
DOI
10.1007/978-3-662-69412-1
ISSN
2731-3832
Language
english
Format
PDF
Filesize
12 MB (12111135 bytes)
Series
Mathematics Study Resources 13
Edition
1
Pages
333\337
Topic
Mathematics
Orientation
yes
Paginated
no
Scanned
portrait
Time added
2024-08-08 12:39:59
Algebraic VarietiesManifoldsModulesRingsSheavesTensors

Description

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.

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