An Invitation To General Algebra And Universal Constructions 2nd Edition at Meripustak

An Invitation To General Algebra And Universal Constructions 2nd Edition

Books from same Author: BERGMAN G M

Books from same Publisher: SPRINGER

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  • General Information  
    Author(s)BERGMAN G M
    PublisherSPRINGER
    Edition2nd Edition
    ISBN9783319114774
    Pages572
    BindingSoftbound
    LanguageEnglish
    Publish YearFebruary 2015

    Description

    SPRINGER An Invitation To General Algebra And Universal Constructions 2nd Edition by BERGMAN G M

    Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.