Best Books on Modern Algebra: Popular to Undergraduate

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    Algebra
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Discussion Overview

The discussion revolves around recommendations for books on Modern Algebra, ranging from popular texts to those suitable for undergraduate study. Participants also touch upon the historical context of the subject, specifically regarding the introduction of concepts such as rings and fields.

Discussion Character

  • Exploratory
  • Technical explanation
  • Historical

Main Points Raised

  • One participant inquires about the best book on Modern Algebra and expresses interest in the history of the subject.
  • Another participant suggests using Wikipedia for historical information and questions the intent behind learning Modern Algebra independently.
  • A specific historical reference is provided by a participant, recommending "The development of Galois theory from Lagrange to Artin" by B. Melvin Kiernan for its insights into field theory.
  • There are inquiries about accessing full-text articles from the journal Archive of the History of Exact Sciences without payment, with one participant sharing their experience of obtaining a copy through a university library.
  • A participant mentions a high school level algebra book titled "Algebra a modern approach" by Max Peters and William L. Shaff, describing it as interesting.
  • A classic book recommendation is made for "Modern Algebra, Volume I" by B.L. Van Der Waerden, including details about its condition and pricing from a specific bookseller.

Areas of Agreement / Disagreement

No consensus is reached regarding the best book on Modern Algebra, as participants offer various suggestions and perspectives on historical resources. The discussion remains open with multiple viewpoints presented.

Contextual Notes

Participants express varying levels of interest in historical context and practical resources for accessing academic literature, indicating a range of needs and approaches to learning Modern Algebra.

gvk
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What is the best book on Modern Algebra?
Level from popular to undergraduate. :confused:
And the history of this subject (who first introduced the notions of the ring and field?)
Thanks
 
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you want a good history? wikipedia my friend.

as for a textbook...why, are you planning on learning it on your own?
 
For history see
"The development of Galois theory from Lagrange to Artin" by B. Melvin Kiernan, published in Archive of the History of Exact Sciences #8(1971-1972) pp. 40-154

There's a section called "The Development of Field Theory" which starts on p. 125.
 
Archive for Hist. of Exact Sciences

Do you know of any way of getting online access to full text articles in the above journal without paying?
 
I have this one Algebra book. Which is very interesting(in my opinion).
It is mostly High School Level Algebra.

Title:Algebra a modern approach

Authors: Max peters
William L.Shaff
 
edavak said:
Do you know of any way of getting online access to full text articles in the above journal without paying?

I think it's a pretty common journal; go to your local university library & photocopy it. That's what I did, but it cost me ~$6, & took forever. It's definitely worth it though, that article is epic & a must-read for anybody interested in algebra.
 
this is a great classic book:

Van Der Waerden, B.L.
Modern Algebra, Volume I
New York, NY: Frederick Ungar, 1953*Hard Cover. Very Good/No Jacket. Hardcover without jacket, previous owner's name, no underlining, no highlighting, solid binding.
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