George M. Bergman's An Invitation to General Algebra and Universal Constructions PDF

By George M. Bergman

ISBN-10: 3319114778

ISBN-13: 9783319114774

Rich in examples and intuitive discussions, this e-book offers common Algebra utilizing the unifying standpoint of different types and functors. beginning with a survey, in non-category-theoretic phrases, of many commonly used and not-so-familiar buildings in algebra (plus from topology for perspective), the reader is guided to an figuring out and appreciation of the overall techniques and instruments unifying those structures. issues contain: set idea, lattices, classification thought, the formula of common structures in category-theoretic phrases, forms of algebras, and adjunctions. various workouts, from the regimen to the demanding, interspersed throughout the textual content, boost the reader's seize of the cloth, convey purposes of the final thought to assorted components of algebra, and at times element to extraordinary open questions. Graduate scholars and researchers wishing to realize fluency in vital mathematical buildings will welcome this conscientiously prompted book.

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An Invitation to General Algebra and Universal Constructions (Universitext) by George M. Bergman


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