Hi,
I have a class that teaches how to think in mathematics i.e. read and write proofs. Right now the professor decided to deviate from the text and teach field theory which is really confusing to me since I am am Biochemistry with a math minor so I'm mostly learning applied math. I never encountered this before and its not easy to understand.
I couldn't find any good resources to supplement the professors material. Can someone tell me some sites or books that can help?
Thanks
Ok, I checked those books but I feel they are not right for me. Let me tell you the topics, in order or appearence, that are discussed:
[1] Properties of fields {Not very comfortable with these}
[2] Ordered fields , includes trichotomy
[3] Real numbers
[a] Cuts, rational & irrational
[b] Field operations
[c] Order in the cuts.
[d] Completeness
[4] Rational numbers
[5] Field extensions
[6] Complex numbers
[a] Polar representation of complex numbers {I feel hopeless looking at it}
[b] Fundamental Theorem of Algebra
I think we only got up to [4]. I'm going to talk to the professor and see if I can figure this out. Once again, I'm not very interested or knowledgeable about these abstract topics. Just trying to read his notes is like reading a foreign language. Although the goal of the class is just that, I still don't feel that I can grasp what he is teaching now.
Can you take a look at his document and tell me what you think? I uploaded it to google docs.
https://docs.google.com/viewer?a=v&p...thkey=CIr_vqgH
Thank you