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Algebra A Teaching and Source Book by Ernest Shult - Paperback
1,331.00 EGP

Algebra A Teaching and Source Book by Ernest Shult - Paperback

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1,331.00 EGP 

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Category Type
Mathematics
ISBN
9783319197333
Author
Various
Publisher
Springer International Publishing AG
Description:

This book presents a graduate-level course on modern algebra. It can be used as a teaching book - owing to the copious exercises - and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan-holder theorem ...

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PRODUCT INFORMATION

  •  

    Specifications

    Category Type
    Mathematics
    ISBN
    9783319197333
    Item EAN
    2724444988127
    People
    Author
    Various
    People
    Publisher
    Springer International Publishing AG
    Category Type
    Mathematics
    ISBN
    9783319197333
    Item EAN
    2724444988127
    People
    Author
    Various
    People
    Publisher
    Springer International Publishing AG
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    This book presents a graduate-level course on modern algebra. It can be used as a teaching book - owing to the copious exercises - and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain

    This book presents a graduate-level course on modern algebra. It can be used as a teaching book - owing to the copious exercises - and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan-holder theorem becomes a theorem on interval measures of certain lower semi lattices. This is followed by basic courses on groups, rings and modules; the arithmetic of integral domains; fields; the categorical point of view; and tensor products. Beginning with introductory concepts and examples, each chapter proceeds gradually towards its more complex theorems. Proofs progress step-by-step from first principles. Many interesting results reside in the exercises, for example, the proof that ideals in a Dedekind domain are generated by at most two elements. The emphasis throughout is on real understanding as opposed to memorizing a catechism and so some chapters offer curiosity-driven appendices for the self-motivated student.

    Product Features:
    • Genre: Mathematics
    • Author: Ernest Shult and David Surowski
    • Format: Paperback
    • Book Language: English
    • Book Origin: Switzerland
    • Publisher: Springer International Publishing AG
    • Publication Year: 2015
    • ISBN: 9783319197333
    • Number of Pages: 539
    • Product Dimensions: 23.4 x 15.6 x 2.9 cm
    • Product Weight: 780 g
 

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