Mathematical Structures
Joachim Hilgert
Broschiertes Buch

Mathematical Structures

From Linear Algebra over Rings to Geometry with Sheaves

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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 typical...