Download PDF by George M. Bergman: An Invitation to General Algebra and Universal Constructions

By George M. Bergman

ISBN-10: 3319114778

ISBN-13: 9783319114774

Rich in examples and intuitive discussions, this booklet offers common Algebra utilizing the unifying point of view of different types and functors. beginning with a survey, in non-category-theoretic phrases, of many usual and not-so-familiar structures in algebra (plus from topology for perspective), the reader is guided to an knowing and appreciation of the final ideas and instruments unifying those structures. issues comprise: set idea, lattices, class thought, the formula of common buildings in category-theoretic phrases, types of algebras, and adjunctions. plenty of workouts, from the regimen to the tough, interspersed in the course of the textual content, improve the reader's seize of the cloth, convey purposes of the overall concept to diversified parts of algebra, and now and again element to impressive open questions. Graduate scholars and researchers wishing to achieve fluency in vital mathematical buildings will welcome this conscientiously stimulated book.

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By George M. Bergman

ISBN-10: 3319114778

ISBN-13: 9783319114774

Rich in examples and intuitive discussions, this booklet offers common Algebra utilizing the unifying point of view of different types and functors. beginning with a survey, in non-category-theoretic phrases, of many usual and not-so-familiar structures in algebra (plus from topology for perspective), the reader is guided to an knowing and appreciation of the final ideas and instruments unifying those structures. issues comprise: set idea, lattices, class thought, the formula of common buildings in category-theoretic phrases, types of algebras, and adjunctions. plenty of workouts, from the regimen to the tough, interspersed in the course of the textual content, improve the reader's seize of the cloth, convey purposes of the overall concept to diversified parts of algebra, and now and again element to impressive open questions. Graduate scholars and researchers wishing to achieve fluency in vital mathematical buildings will welcome this conscientiously stimulated book.

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


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