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Solution Manual A Friendly Introduction To Number Theory: Discover the Beauty and Logic of Numbers



I suppose I look at things a little differently. What makes an encyclopedia different from a dictionary (or in the case of mathematics, a compendium of definitions and theorems). Writing an article for Citizendium ought to be expository writing. But this is really orthogonal to the issue of level or depth. It's pssible to write a good expository article on how to add integers with pen and paper. It's also possible to write a good expository article on, say, the Atiyah-Singer index theorem, or the Langlands program. But a special difficulty with mathematics is that supposedly elementary topics (like prime numbers or map coloring) often lead to very difficult mathematics. (After all, isn't that why mathematicians spend so much time studying "difficult" things? Abstract concepts are generally introduced because they are amenable to analysis!) So, while an article on Artin reciprocity is likely to attract readers with the necessary mathematical background and maturity, articles on arithmetic essentially have to do double duty. They need to provide an accessible introduction for non-experts, but they need to establish a foundation for the introduction of more abstract ideas. Otherwise, we'll end up with a two tiered system: one group of articles will be both understandable and boring, while the other will be technical, sterile, and ultimately unenlightening. Greg Woodhouse 17:01, 4 April 2007 (CDT)




Solution Manual A Friendly Introduction To Number Theory

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