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Invitation to General Algebra and Universal Constructions
Angličtina
111 b
Až 30 dní na vrácení zboží
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Rich in examples and intuitive discussions, this book presents general algebra using the unifying language of categories and functors. Starting from a review of familiar constructions in algebra, topology, and analysis, the reader is guided to an understanding and appreciation of the abstract scaffolding underlying these constructions. Topics include: an overview of universal constructions, set theory, lattices, category theory and universal constructions, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, intersperse the text, testing the reader's grasp of the material and exposing specializations of the general theory in diverse areas of mathematics. Students and researchers wishing to gain fluency in ubiquitous mathematical constructions will welcome this carefully motivated book.
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