Recommendations for a Massive Algebra Text

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SUMMARY

This discussion focuses on recommendations for comprehensive algebra textbooks suitable for both learning and quick reference. Key titles mentioned include "Algebra" by Serge Lang, "Algebra" by Dummit and Foote, and "Finite Groups" by Huppert. The conversation highlights the depth of material covered in these texts, emphasizing their utility for serious study. Additionally, personal anecdotes about Dr. Foote's interactions with Serge Lang provide a human element to the academic discussion.

PREREQUISITES
  • Familiarity with abstract algebra concepts
  • Understanding of algebraic structures such as groups and rings
  • Basic knowledge of mathematical proofs and theorems
  • Experience with advanced mathematical texts
NEXT STEPS
  • Research "Algebra" by Serge Lang for comprehensive algebra coverage
  • Explore "Algebra" by Dummit and Foote for its detailed approach to algebraic concepts
  • Investigate "Finite Groups" by Huppert for insights into group theory
  • Look into Ken Ribet's work on Fermat's Last Theorem and elliptic curves
USEFUL FOR

Mathematics students, educators, and researchers seeking in-depth resources on algebra and related fields will benefit from this discussion.

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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