Best Books on Modern Algebra: Popular to Undergraduate

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SUMMARY

The discussion centers on recommended literature for Modern Algebra, spanning from popular texts to undergraduate-level resources. Key recommendations include "The Development of Galois Theory from Lagrange to Artin" by B. Melvin Kiernan for historical context, and "Modern Algebra, Volume I" by B.L. Van Der Waerden as a classic textbook. Additionally, the participants discuss access to academic articles and suggest utilizing local university libraries for obtaining necessary texts. The conversation highlights the importance of both historical understanding and foundational textbooks in the study of Modern Algebra.

PREREQUISITES
  • Familiarity with basic algebraic concepts
  • Understanding of historical developments in mathematics
  • Access to academic libraries or online journal databases
  • Knowledge of algebra textbooks and their authors
NEXT STEPS
  • Research "The Development of Galois Theory from Lagrange to Artin" by B. Melvin Kiernan
  • Explore "Modern Algebra, Volume I" by B.L. Van Der Waerden
  • Investigate online access options for academic journals
  • Learn about the historical context of algebraic structures like rings and fields
USEFUL FOR

Students, educators, and mathematics enthusiasts seeking to deepen their understanding of Modern Algebra and its historical foundations.

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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