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Results tagged with ca.classical-analysis-and-odes
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user 1916
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
4
votes
Proving theorems by using functions with fixed points.
There is a very slick proof (discussed here on MO) that every prime $p=4k+1$ is a sum of two squares, which looks at the set $S= \{(x,y,z) \in N^3: x^2+4yz=p \}$ and shows that a particular involution …
1
vote
Alternative undergraduate analysis texts
Shilov's Elementary Real and Complex Analysis is comprehensive, straightforward, and as a Dover book, is excellently priced.