Problems for Mathematicians, Young and Old, Volume 12A collection of math problems for people of varying skills from high school through professional level, organized into fourteen categories such as matrices, space, probability, and puzzles, and including hints and solutions. |
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abelian abelian group additive group algebra answer is yes calculus Cantor function Cantor set Cesàro continuous Chapter circles closed intervals colors complement Conclusion congruent consider convergent convex set countable countable set defined diagonal dice disjoint union elements equal equation exactly example exist extreme points FIGURE follows function ƒ happens Hint 12 Hint 9 implies induction inner product spaces instance intersection inverse isomorphic Lebesgue measure linear transformation look mathematical matrix minimal polynomial modulo multiplication non-empty open intervals plane polynomial positive integers positive measure positive number possible probability Problem 12 Problem 9 proof question real numbers rectangle result segment semigroup sequence of length Solution square root subgroup subsequences of length subset subspaces theorem tiled topological topological groups toss triangle trivial uncountable unit interval vector space What's words zero