Andrew Wiles proof.

MathematicalPhysicist

Gold Member
4,088
134
What fields of interest in number theory should I learn to fully understand his and Taylor's proof?
Is there a comprehensible list?
 

matt grime

Science Advisor
Homework Helper
9,394
3
Start with the book of the proof (Springer, I think). It will have a comprehensive bibliography for when you need to recursively learn something.
 

matt grime

Science Advisor
Homework Helper
9,394
3
Read the reviews, decide which one's best for you. Silverman is a good author, for what it's worth.
 
1,028
4
recursively learn something.
Kinda goes against the standard math pedagogical philosophy. I bet when machines go sentient that's how they'll learn.
 

matt grime

Science Advisor
Homework Helper
9,394
3
The mathematical pedagogy to which you refer is aimed at teaching a broad canvas of essentials. This is good if someone has decided what those are on your behalf.

Sometimes, though, if you need to just learn something, say to understand a paper or a particular result, you need to find out what you need to learn, and this is perhaps a case in point.

To learn basic graduate level algebraic and analytic number theory would be a few years, from scratch. And then you find out that you spent too long on cubic reciprocity when you needed to learn more about L functions and modular forms..
 

Related Threads for: Andrew Wiles proof.

Replies
20
Views
35K
  • Posted
Replies
20
Views
10K
Replies
1
Views
3K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top