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Abstract Algebra- 2Nd Edition By Dan
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PRODUCT INFORMATION

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    Specifications

    Category Type
    Mathematics
    ISBN
    9789384007249
    EAN-13
    9789384007249
    Item EAN
    2724450707736
    People
    Author
    Dan
    Category Type
    Mathematics
    ISBN
    9789384007249
    EAN-13
    9789384007249
    Item EAN
    2724450707736
    People
    Author
    Dan
    People
    Publisher
    India
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
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  •  

    Description:

    • The book preserved the emphasis on providing a large number of examples and on helping students learn how to write proofs. The presentation of the sections given at a higher level. Unusual features, for a book is still relatively short, are the inclusion of full proofs of both directions of Gauss
    • The book preserved the emphasis on providing a large number of examples and on helping students learn how to write proofs. The presentation of the sections given at a higher level. Unusual features, for a book is still relatively short, are the inclusion of full proofs of both directions of Gauss theorem on constructible regular polygons and galois theorem on solvability by radicals, a Galoistheoretic proof of the Fundamental Theorem of Algebra, and a proof the Primitive  Element Theorem.
    • First semester course should probably include the material of Sections 0-13, and some of the material on rings in Section 16 and the following sections, Sections 14 and 15 allow the inclusion of some deeper result on groups. In second semester it should be possible to cover the whole book, possibly omitting Section 21.
    • The changes include the simplification of some points in the edition of some new exercise, and the updating of some historical material. All the topics are given in step by step method with simple language to understand the concept easily. This book is intended for use in a junior-senior level course in abstract algebra. The students who used the book for the five sections as text and pointed out to me parts of the presentation that needed clarification.
 

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