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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.


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 ...


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 ...


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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