1. (Difficult) "What was the most difficult part of the material for you?"
The most difficult part of the material for me was trying to follow the proof the book gave for showing that point 3 in Theorem 2.8 was equivalent to point 1 in Theorem in 2.8. I got very lost when they assumed that when a*b=0 in Zp, then a=0 or b=0 and used it to show that p is prime. There was too much assumptions done throughout the proof for me to follow, so I am not yet convinced of this truth.
2. (Reflective) Write something reflective about the reading. This could be the answer to the question "What was the most interesting part of the material?" or "How does this material connect to something else you have learned in mathematics?" or "How is this material useful/relevant to your intellectual or career interests?" or something else.
The most interesting part of the material was Theorem 2.11. I think it is so interesting that if d/b then the equation has solutions, and furthermore, that the equation has d distinct solutions. I liked being able to use this theorem to do the homework. It was so simple. However, I am interested in seeing the proof for why the equation has d distinct solutions. I would be very interested to see how that works.
The most difficult part of the material for me was trying to follow the proof the book gave for showing that point 3 in Theorem 2.8 was equivalent to point 1 in Theorem in 2.8. I got very lost when they assumed that when a*b=0 in Zp, then a=0 or b=0 and used it to show that p is prime. There was too much assumptions done throughout the proof for me to follow, so I am not yet convinced of this truth.
2. (Reflective) Write something reflective about the reading. This could be the answer to the question "What was the most interesting part of the material?" or "How does this material connect to something else you have learned in mathematics?" or "How is this material useful/relevant to your intellectual or career interests?" or something else.
The most interesting part of the material was Theorem 2.11. I think it is so interesting that if d/b then the equation has solutions, and furthermore, that the equation has d distinct solutions. I liked being able to use this theorem to do the homework. It was so simple. However, I am interested in seeing the proof for why the equation has d distinct solutions. I would be very interested to see how that works.
No comments:
Post a Comment