Abstract Algebra & Linear Algebra
I had been reading some materials on abstract algebra last week and when I was read linear algebra today, I realised that certain theorems are exactly the same. On the whole, this linear algebra book I am ploughing through seems way easier than the other linear algebra book I have.
Maybe it is because of the method of delivery of the whole concept of linear algebra is exactly the same as the way I was taught in FM by Mrs Wee. In fact, I find myself skimming through the book as most of it has been taught before except for the proofs. The proofs were left out when taught linear algebra by Mrs Wee. I remember having no absolute idea what the heck is linear algebra after being taught it, even though somehow I can solve the linear algebra questions.
Hello abelian groups! I feel so messed up after learning them by my own.
Labels: food for thought
posted by roticv @ 11:31 PM
2 Comments:
The proofs behind the theorems are what makes some education systems better at producing mathematicians than others.
Most of the time, people are just interested in how to apply the said theorems, rarely do they want to really know why the theorems work in the first place.
That said, have fun with abstract algebra. Once you are done with that, consider looking into logic and then set theory (in that order) to understand even more deep stuff (like what an "algebra" really is).
Till next time.
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