math185-s23:j:jan-18
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math185-s23:j:jan-18 [2023/01/18 04:47] pzhou created |
math185-s23:j:jan-18 [2026/02/21 14:41] (current) |
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| * regularity: even though we only require $f$ to admits first order derivative, it actually have all derivatives. | * regularity: even though we only require $f$ to admits first order derivative, it actually have all derivatives. | ||
| * contour integral: if we do line integral of the form $\int_C f(z) dz$, then we can wiggle the integration contour $C$ as long as $f$ remains nice on $C$. | * contour integral: if we do line integral of the form $\int_C f(z) dz$, then we can wiggle the integration contour $C$ as long as $f$ remains nice on $C$. | ||
| - | * Special complex functions, Zeta function, Theta function | + | * Special complex functions, Zeta function, Theta function, Gamma function. |
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| + | OK, enough of that fancy stuff. Let's go back to the basics. | ||
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| + | How to think about a complex number? | ||
| + | * real plus imaginary (good for addition) | ||
| + | * phase angle and radius (good for multiplication) | ||
| + | * exponential and log | ||
| + | * | ||
math185-s23/j/jan-18.1674017228.txt.gz · Last modified: 2026/02/21 14:43 (external edit)
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