Does somebody know the proof of partial fraction decomposition theorem for rational functions over field of real numbers that does not use properties of field of complex numbers?
Proof of partial fraction decomposition without using complex numbers and properties of complex field
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partial-fractions
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0Does [this](https://en.wikipedia.org/wiki/Partial_fraction_decomposition#Basic_principles) help? – 2017-02-26
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0little... using Euclidean algorithm and Bézout's identity for polynomials in order to (rigorously) proof general case makes a lot of mess... – 2017-02-26
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0if somebody can write (or give a link to) a detailed proof would be satisfactory – 2017-02-26
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0If you know linear algebra, [this answer](https://mathoverflow.net/a/33943) may help. – 2018-10-16