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David Stipp’s Followers (12)
David Stipp
* Note: these are all the books on Goodreads for this author. To add more, click here.
“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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