The Integers Modulo n.
What was difficult for me?
This whole section was difficult for me to understand. Most of the time that I read the book, I can understand what is going on. But this time, I was very lost. On page 190, I'm confused about residue classes.
I do understand a little bit the "closed under addition" and the "closed under multiplication" parts. This part seems intuitive to me. However, I have difficult with residue classes and well-defined. I am trying to understand these things, and while the reading helps, there is no way that I could prove them. I hope that with the homework I can improve. I read the last proof on page 191-192 and it was difficult for me to understand.
What did I find interesting?
First, I really think the concept of an integer is interesting. An integer is a whole number - not a fraction, or a part of a whole number, but a whole number. I think it's really interesting that you can divide a number by another number and get a whole number. The whole congruence modulo n thing is really interesting . I really like the closed under addition part of this chapter, as it illustrates an interesting way to think about addition. The same goes for multiplication. Equivalence classes are also very interesting - I like to think of them as "solutions for the problem," meaning that these classes help keep the congruence modulo true. I hope to be able to learn more about these and apply the.
What was difficult for me?
This whole section was difficult for me to understand. Most of the time that I read the book, I can understand what is going on. But this time, I was very lost. On page 190, I'm confused about residue classes.
I do understand a little bit the "closed under addition" and the "closed under multiplication" parts. This part seems intuitive to me. However, I have difficult with residue classes and well-defined. I am trying to understand these things, and while the reading helps, there is no way that I could prove them. I hope that with the homework I can improve. I read the last proof on page 191-192 and it was difficult for me to understand.
What did I find interesting?
First, I really think the concept of an integer is interesting. An integer is a whole number - not a fraction, or a part of a whole number, but a whole number. I think it's really interesting that you can divide a number by another number and get a whole number. The whole congruence modulo n thing is really interesting . I really like the closed under addition part of this chapter, as it illustrates an interesting way to think about addition. The same goes for multiplication. Equivalence classes are also very interesting - I like to think of them as "solutions for the problem," meaning that these classes help keep the congruence modulo true. I hope to be able to learn more about these and apply the.
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