Daigami Number theory, Arithmetic functions, Numbers, Prime. The name field is required. Find a copy in the library Finding libraries that hold this item Number Theory, Combinatorics, Mathematics Source: Please choose whether or not you want other users to be able to see on your profile that this library is a favorite of yours. You may send this item to up to five recipients. An Introduction to the Theory of Numbers 4th Ed.
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I intend to do the exercises from Rudin after studying from Apostol. In addition,I strongly suggest you look at math. If you have two decent books on the same subject and are not in any great hurry as no high school student should be as far as learning mathematics is concerned , you will do far better to read both and play them off each other. I know you have a great deal of experience with books, so I was wondering if I could ask you for a recommendation?
I have to learn semi-direct products and nilpotent groups. My class uses Dummit and Foote, but I really hate that book for one, they seem to make things unnecessarily abstract. Would you happen to know of a good book which goes over any of the following topics in comparable depth to Dummit and Foote? Thank you so much! I did self-study out of PoMA and let me warn you that if you decide to go that route, it will be a very difficult struggle. Rudin presents analysis in the cleanest way possible the proofs are so slick that they often have more of the flavor algebra than analysis to me honestly and often omits the intermediate details in his proofs.
You should be prepared to sit down with a pencil and paper and carefully verify all the steps in his arguments. Let me tell you about Rudin problems. You will stare at them for hours--days even--and make absolutely no progress. You will become convinced that the statement is wrong, that the problem is beyond your tool-set, and you may even consider looking up the solution. If you stare at the problems long enough, you will eventually come up with the solution--and realize why he asked the question.
I always find that the hardest part of learning a new field of math is learning what an interesting question looks like. Rudin had exceptional mathematical taste, and that taste shines through both in those often-maligned slick proofs and in his choice of questions.
If you take the time to ask why each question was asked, how it fits into the bigger picture, and what in the chapter it connects to, you will learn an incredible amount about the flavor of analysis. Really, if you want to learn how to think like a classical analyst, read Rudin. As an aside, this may not be the case for you but I find that if a book is too well exposited, it actually detracts from my understanding.
Rudin may leave out details, but at least then it is known that you need to fill them in. Doing this forced me to learn a lot of the basic argument techniques in analysis. When using a book that carefully explains all the details, I find that it is a bit too easy to waive my hand at an argument and not spend time really learning it since the argument looks so clear.
Admittedly that is possibly because I am, at heart, pretty lazy :.
Anlisis lineal 1. Espacios Lineales 2. Apostol vol. Calculus Vol.
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