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Results tagged with teaching
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user 8435
For questions related to teaching mathematics. For questions in Mathematics Education as a scientific discipline there is also the tag mathematics-education. Note you may also ask your question on http://matheducators.stackexchange.com/.
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Examples of new results found via exams [closed]
I suspect that there have been many instances throughout history where a new proof of an existing result has been discovered by a student while taking an exam. Does anyone have an example of this?
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Teaching prime number theorem in a complex analysis class for physicists
You can start by defining the Riemann Zeta function as $\zeta(s) = \sum_{n=1}^\infty \frac{1}{n^s}$ for $s$ real and then prove the Euler product formula, $\zeta(s) = \prod_{p} \frac{1}{1-p^{-s}}$ for …
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Topics for a matrix analysis course
I wrote my dissertation on a problem in matrix analysis and I found that I had to read from several different sources to understand the material. I don't know which is the best book on the subject bu …
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Real analysis has no applications?
I have a good undergraduate analysis book, "Real Analysis with Real Applications," by Kenneth R. Davidson and Allan P. Donsig. The book is divided into two parts. Part A deals with "Abstract Analysi …
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Interesting Calculus Questions/Exercises
The following problem is often found in introductory Real Analysis courses but can be solved by IVT:
Let $f :[0,1] \to [0,1]$ be continuous. Show that f(x) has a fixed point. In other words, there …
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