Recommendations for a Massive Algebra Text

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Discussion Overview

The discussion revolves around recommendations for comprehensive algebra textbooks suitable for learning and reference. Participants share their thoughts on various texts that cover extensive material in algebra.

Discussion Character

  • Exploratory
  • Debate/contested

Main Points Raised

  • One participant suggests that "Hungerford" and "Dummit and Foote" are good starting points for large algebra textbooks.
  • Another participant adds "Serge Lang's Algebra" to the list, although they express a preference for the previously mentioned texts.
  • A further contribution mentions "Huppert's finite groups" as another substantial text, noting the existence of two additional volumes but expressing difficulty in finding the first volume in English.
  • Participants discuss the historical context of Serge Lang's work, referencing Ken Ribet's proof related to Fermat's Last Theorem and elliptic curves.
  • One participant shares personal anecdotes about Dr. Foote's experiences with Serge Lang, suggesting that Dr. Foote is approachable for discussions about Lang.

Areas of Agreement / Disagreement

Participants generally agree on the value of the suggested textbooks, but preferences vary regarding which texts are the best options. No consensus is reached on a definitive list of recommendations.

Contextual Notes

Some participants express uncertainty about the availability of certain texts in English, and there are varying opinions on the best choices among the suggested books.

Chris11
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Hey. I was wondering if anyone would have any good recomendations for large algebra textbooks that cover an enormous amount of material. I would use this book to learn new things, and also as a go to book when I need a quick refrence.

So far, I know of only 2:

Hungerford,

Dummit and Foote.
 
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Chris11 said:
Hey. I was wondering if anyone would have any good recomendations for large algebra textbooks that cover an enormous amount of material. I would use this book to learn new things, and also as a go to book when I need a quick refrence.

So far, I know of only 2:

Hungerford,

Dummit and Foote.

Serge Lang's Algebra would be something to add to the collection of massive algebra texts. However, I prefer the two you've already listed.
 
Chris L T521 said:
Serge Lang's Algebra would be something to add to the collection of massive algebra texts. However, I prefer the two you've already listed.

Talking about Serge Lang, have you ever seen this? Ken Ribet is the guy who proved the connection between Fermat's Last Theorem and elliptical curves.

Also, Huppert wrote an influential book called "finite groups", which spawned two further volumes with him and Blackburn. I haven't managed to find the first volume in English though...but if you are looking for massive texts, these three volumes are pretty hefty!
 
Swlabr said:
Talking about Serge Lang, have you ever seen this? Ken Ribet is the guy who proved the connection between Fermat's Last Theorem and elliptical curves.

Also, Huppert wrote an influential book called "finite groups", which spawned two further volumes with him and Blackburn. I haven't managed to find the first volume in English though...but if you are looking for massive texts, these three volumes are pretty hefty!

If you want to here some stories about Serge Lang, e-mail Dr. Foote. He had an office next him when he was a visiting graduate student. Dr. Foote in class will tell stories about Dr. Lang from time and again. Also, if you think it would be strange just to randomly e-mail Dr. Foote, don't fret. He is extremely nice and a great person. He will e-mail and chat with anyone.
 

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