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pierce15
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This is also a question for $$\mathbb{R}^2\to\mathbb{R}^2$$ If you have a complex function, $$f(z)$$ which thus maps from $$\mathbb{C}\to\mathbb{C}$$ what exactly does
[tex]\int_{a}^{b} f(z)\space dz[/tex] mean?
Integrating a function f(x) from $$\mathbb{R}\to\mathbb{R}$$ yields the net signed area between f(x) and the x axis. What would integrating a complex function give you? Also, can someone please explain what a path integral is? I asked my math teacher about this and he told me that it has to do with path integrals, but he hasn't studied complex analysis for years.
P.S. how can I type an equation that doesn't start a new paragraph and stays in my sentence?
[tex]\int_{a}^{b} f(z)\space dz[/tex] mean?
Integrating a function f(x) from $$\mathbb{R}\to\mathbb{R}$$ yields the net signed area between f(x) and the x axis. What would integrating a complex function give you? Also, can someone please explain what a path integral is? I asked my math teacher about this and he told me that it has to do with path integrals, but he hasn't studied complex analysis for years.
P.S. how can I type an equation that doesn't start a new paragraph and stays in my sentence?
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