Are There Fun Math Brain Twister Books Focused on Calculus and Algebra?

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The discussion centers on finding engaging math brain twister books focused on calculus and algebra manipulation. Participants suggest exploring the "International Mathematics Olympiad," which features challenging high school-level problems in number theory and algebra, available in collections and online. A specific resource mentioned is the website "Cut the Knot," which offers a variety of interesting math puzzles that do not involve calculus. The emphasis is on finding materials that stimulate critical thinking and problem-solving skills within the specified mathematical domains.
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Are they any kind fun math brain twister books that are restricted to calculus (up to sequences) and require engaging algebra manipulation and forethought? Can anyone suggest such a book?
 
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I'm not sure if it's what you're looking for, but the "International mathematics olympiad" has(d) very engaging HS-level problems involving number theory, algebra, etc., many of which are published in collections or exist online (check google).
 
ktpr2,
just check out
http://www.cut-the-knot.org/index.shtml
this has a lot many interesting math type twisters and that too without touching the 'C' of calculus.

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