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David Stipp
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“The association of multiplication with vector rotation was one of the geometric interpretation's most important elements because it decisively connected the imaginaries with rotary motion. As we'll see, that was a big deal.”
― A Most Elegant Equation: Euler's Formula and the Beauty of Mathematics
― A Most Elegant Equation: Euler's Formula and the Beauty of Mathematics
“If you were given to thinking of numbers as having human-like qualities, you might picture e^i*pi as a guru into transcendental meditation who'd achieved infinite enlightenment. But there's a problem with that-Euler's formula shows that e^i*pi can never free itslef from worldly concerns. Recall, e^i*pi is really -1 in disguise, and -1 is just a mathism for owing a dollar to your friend, Steve. One hand clapping.”
― A Most Elegant Equation: Euler's Formula and the Beauty of Mathematics
― A Most Elegant Equation: Euler's Formula and the Beauty of Mathematics
“But just what are imaginary numbers, you may now be asking yourself, and what on earth could it mean to raise e to an imaginary-number power? This chapter concerns mathematicians' long struggle to answer the first of these two questions. Later we'll take up the second one , which inspired Euler to devise the most radical expansion of the concept of exponents in math history. At this point, suffice it to say that affixing an imaginary exponent to a number has a dramatic effect on it-something lime what happens to a frog when it's tapped by a standard-issue magic wand.”
― A Most Elegant Equation: Euler's Formula and the Beauty of Mathematics
― A Most Elegant Equation: Euler's Formula and the Beauty of Mathematics
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| The 52 Book Club:...: * 24 -- Uneven Number Of Chapters | 45 | 868 | Jun 02, 2026 02:53PM |
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