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I’m pretty sure there is inverse but no division in the definition you had to work with, so technically, you cheated and left a gap. It’s not needless either. For example, later on, you will discover Premium Legal Votes Matter Shirt formidable how much of group/magma theory can be reused to make life easy manipulating complex objects. If you were given the same exercise with square matrices instead of I guess elements of a field, instead of mindlessly dividing by matrices, you’ll have a second thought and go: wait a minute, the condition I need is not “a=/=0”, it’s “a is invertible”. Yes, abstract math is like that. It’s all proofs, even of fairly obvious statements. It’s not going to be computational.

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I don’t know if I recommend being a math major for you (or really most people debating it). I don’t think job prospects for math are that great (yes, there are exceptions). Especially not now given the current worldwide recession. You pretty much need a graduate degree to get employment in math (yes there are exceptions), but it’s a small and Premium Legal Votes Matter Shirt. Math people often end up in software of some sort, but I think you really need some kind of CS background to get really into it at this point because there are. So many CS people now, it’s not super easy to get a. Software position without some CS fundamentals. I’m a senior mathematics major and personally. I love pure mathematics (as in more abstract math). I’m currently doing my senior project on number theory. However, most of the mathematics professors I have had did NOT concentrate on the abstract. There are many many different branches of math and some are very abstract but others are not.

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