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. |
Other editions - View all
Common terms and phrases
abelian group additive group algebraic answer is yes calculus Cantor function Cantor set Chapter chord circles closed intervals colors complement Conclusion congruent consider convergent convex set countable countable set defined diagonal disjoint union equal equation exactly example exist extreme points factor FIGURE follows function ƒ happens Hint 12 Hint 9 implies induction inequality infinite instance intersection inverse isomorphic Lebesgue measure linear transformation look magic square mathematical matrix minimal polynomial modulo multiples non-empty open intervals plane polynomial positive integers positive measure positive number possible prime probability Problem 12 proof question rational numbers real numbers rectangle replaced result segment semigroup sequence of length Solution square root square-free subgroup subsequences of length subset subspaces theorem tiled topological topological groups toss triangle trivial unit interval vector space words zero