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Invitation to General Algebra and Universal Constructions

Name: Invitation to General Algebra and Universal Constructions
Brand: Springer International Publishing AG
SKU: 05267122
Price: 85.08 EUR
Availability: InStock
Author: George M. Bergman
ISBN: 9783319114774

George M. Bergman

Language

English

Book Paperback

Libristo code: 05267122

Publishers Springer International Publishing AG, March 2015

Rich in examples and intuitive discussions, this book presents general algebra using the unifying la... Full description

Libristo code: 05267122

207 b

85.08 €

166.41 лв

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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.