Felipe
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Felipe
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Cubist yield surface
May 14, 2025 at 12:21 AM
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October 25, 2024 at 7:33 PM
fe-lipee.bsky.social
Achei interessante essa passagem do livro A Radical Approach to Real Analysis onde há um comentário um pouco mais profundo, quando comparado com outros livros de análise, sobre porque uma série infinita não estaria na mesma categoria que um somatório (finito), apesar de usarem a mesma notação.
trecho de um livro: "The term infinite summation is an oxymoron. Infinite means without limit, nonterminating, never ending. Summation is the act of coming to the highest point (summus, summit), reaching the totality, achieving the conclusion. How can we conclude a process that never ends? The phrase itself should be a red flag alerting us to the fact that something very subtle and nonintuitive is going on. It is safer to speak of an inifinite series for a summation that has no end, but we shall use the symbols of addition, the + and the \sum. We need to remember that they no longer mean quite the same thing."
October 4, 2024 at 12:39 AM