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5

I'm wondering how to introduce the idea in a way that is intuitive or geometric. How about an introduction along the lines of adding two shapes together. Start with adding fractions to have a picture in mind: For example, one could add the fractions $\frac{1}{5}$ and $\frac{1}{7}$ by first drawing a rectangle with width $\frac{1}{5}$ and height $1 = \frac{...


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Introduction I wasn't taught the partial fractions decomposition (PFD) in calculus. We didn't cover it in high school, and when I went to college, they assumed we all knew it. Somehow it was when I read the proof in van der Waerden's Modern Algebra that I understood why it was called partial fractions. I looked at it again a couple days ago, and ...


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