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The OP wrote: Are there any good sources (references, books, videos (most preferable) etc.) that provide a walkthrough to help "discover/create" the findings of Fourier by yourself? I think chapters 8 and 9 of 17 Equations That Changed the World by Ian Stewart provide such a walkthrough.

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You have misinterpreted the article you refer to; nowhere does it say that "Cantor claimed that there would only be potential infinity, not actual infinity". In fact, it says the opposite: Furthermore, Cantor claimed that we could add and multiply infinity sets. Until that time, humans had followed Aristotle’s ideas about infinity. According to ...

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Complex numbers were used long before Gauss. They appeared for the first time in 16th century when people found a formula for solving cubic equations. One problem with this formula is that even for simplest equations like $x^3-x=0$ which have 3 real solutions, square roots of negative numbers occur in the formula (they cancel in the end, when you do ...

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Actually Legendre proved, starting from a false theorem, that between $L$ and $L+2\sqrt{L}$ there is always a prime number, see the second edition of Essai sur la Théorie des Nombres at page 406 (paragraph 409). From the same theorem Desboves proved in 1855 as a corollary (p. 290, Corollary II) that there is always a prime number between two consecutive ...

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