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Algebra by Michael Artin [PDF] MathSchool

Algebra by Michael Artin


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About this book :-
Algebra written by Michael Artin .
According to Michael Artin:
This book began many years ago in the form of supplementary notes for my algebra classes. I wanted to discuss someconcretetopics such as symmetry, linear groups, and quadratic number fieldsin more detail than the text provided, and to shift the emphasis in group theory from permutation groupsto matrix groups. J...Jattices, another recurring theme, appeared spontaneously.
My hope was that the concrete material would interest the students and that it would make the abstractions more understandable- in short, that they could get farther bylearning both at the same time. This worked pretty welLIt tookmequite a while to decide what to include, but I gradually handed out more notesand eventually began teaching from them without another text. Though this produced a bookthat is different from most others, the problemsI encountered while fitting the parts together caused me many headaches. I can't recommend the method.

Book Detail :-
Title: Algebra
Edition:
Author(s): Michael Artin
Publisher: Prentice Hall
Series:
Year: 1991
Pages: 560
Type: PDF
Language: Englsih
ISBN: 0130047635,9780130047632
Country: US
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About Author :-
Author Michael Artin is an algebraic geometer, concentrating on non-commutative algebra. He received Honorary Doctoral degrees from the University of Antwerp and University of Hamburg.
He is a Member of the National Academy of Sciences, Fellow of the American Academy of Arts & Sciences, Fellow of the American Association for the Advancement of Science, and Fellow of the Society of Industrial and Applied Mathematics.

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Book Contents :-
Algebra written by Michael Artin . cover the following topics.


  • 1. Matrix Operations
    2. Groups
    3. Vector Spaces
    4. Linear Transformations
    5. Symmetry
    6. More Group Theory
    7. Bilinear Forms
    8. Linear Groups
    9. Group Representations
    10. Rings
    11. Factorization
    12. Modules
    13. Fields
    14. Galois Theory
    Appendix Background Material


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