Aha! SolutionsMAA, 22 gen 2009 - 207 pagine Every mathematician (beginner, amateur, and professional alike) thrills to find simple, elegant solutions to seemingly difficult problems. Such happy resolutions are called 'aha! solutions,' a phrase popularized by mathematics and science writer Martin Gardner. Aha! solutions are surprising, stunning, and scintillating: they reveal the beauty of mathematics. This collection includes one hundred problems in the areas of arithmetic, geometry, algebra, calculus, probability, number theory, and combinatorics. The problems start out easy and generally get more difficult as you progress through the book. A few solutions require the use of a computer. An important feature of the book is the discussion of related mathematics that follows the solution of each problem. This material is there to entertain and inform you or point you to new questions. |
Parole e frasi comuni
algebra angle binomial coefficient Bonus Cassini's identity circle column Combinatorics congruence cookies cube cycle type cyclotomic polynomial diagonal diagram digits divides divisors edges elementary symmetric polynomials elements equal equation equilateral triangle exact cover example expected number factor Fibonacci numbers finite formula function geometric series graph Hence hour hand identity inequality integer intersection isometry labeled linear magic square Mathematical matrix modulo multiple number of coins number of stones obtain odd number Oddball pairs parallelogram Pascal's triangle paths perimeter permutation permutation matrices plane positive integers probability problem proof prove rational number real numbers rectangle recurrence relation rotation second player win sequence side lengths Solution solve string Sudoku Suppose symmetric polynomials symmetry theorem Titu Andreescu Toolkit v₁ values vector vertex vertices