The World of Mathematics

aesthetic measure algebra analysis arithmetic artificial automata automaton calculation called chess chess problem chimpanzees Classical complete computing machines concept course culture curve decibels defined definite Descartes described difficult digital computer Diophantus elements equal ethical Euclid example existence experience fact feeling field fighting figure final finally find finite fire first fleet flying force frequency function G. H. Hardy geometry give given Guido human ideas important infinite influence invention Lewis Carroll logic Lueli Mallard mathe mathematical mathematician matics means method mind move nature non-Euclidean geometry operation organisms physics play player position possible present principle problem produced pure puzzles Pythagoras question reason reflected represented result scientific significant Signora simple harmonic motion sound space specific square string submarine sufficiently suppose sweep rate theorem theory things thought tion tone torpedo triangles tuning-fork vacuum tube vibration whole words