Fundamentals of advanced mathematics 1
Book information
Description
Content: 1. Categories, algebraic structures, linear and homological algebra -- 2. Field extensions, topology and topological vector spaces, functional spaces, and sheaves Volume 1: 1. Categories and functors -- 1.1. Categories -- 1.2. Functors -- 1.3. Structures -- 2. Elementary algebraic structures -- 2.1. Monoids and ordered sets -- 2.2. Groups -- 2.3. Rings and algebras -- 3. Modules and algebras -- 3.1. Additional concepts from linear algebra -- 3.2. Notions of commutative algebra -- 3.3. Homological notions -- 3.4. Modules over principal ideal domains and related notions
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