April 2025
Intermediate to advanced
328 pages
8h 42m
Portuguese (Portugal, Brazil)
Content preview from Álgebra linear prática para a ciência dos dados
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Capítulo 1. Introdução
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O que é a Álgebra Linear e porquê aprendê-la?
A álgebra linear tem uma história interessante na matemática, que remonta ao século XVII no Ocidente e muito antes na China. As matrizes - as folhas de cálculo de números no centro da álgebra linear - foram utilizadas para fornecer uma notação compacta para armazenar conjuntos de números como coordenadas geométricas (esta foi a utilização original das matrizes por Descartes) e sistemas de equações (iniciada por Gauss). No século XX, as matrizes e os vectores foram utilizados na matemática multivariada, incluindo o cálculo, as equações diferenciais, a física e a economia.
Mas a maior parte das pessoas não precisava de se preocupar com matrizes até há bem pouco tempo. O que se passa é que os computadores são extremamente eficientes a trabalhar com matrizes. E assim, a computação moderna deu origem à álgebra linear moderna. A álgebra linear moderna é computacional, enquanto a álgebra linear tradicional é abstrata. A álgebra linear moderna aprende-se melhor através de código e aplicações em gráficos, estatísticas, ciência de dados, IA e simulações numéricas, enquanto a álgebra linear tradicional se aprende através de provas e ponderação de espaços vetoriais de dimensão infinita. A álgebra linear moderna fornece as vigas estruturais que suportam quase todos os algoritmos implementados em computadores, ...
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.