The Discovery of Subatomic Particles Revised Edition

Mathematicshasbeenusedforcenturiestodescribe,analyze,andcreatemusic.Inthisbook,LeonHarkleroadexploresthemathrelatedaspectsofmusicfromitsacousticalbasestocompositionaltechniquestomusiccriticism,touchingon?overtones,scales,andtuningsystems?themusicaldicegameattributedtoMozartandHaydn?theseveral-hundred-year-oldstyleofbell-playingknownasringingthechanges?thetwelve-toneschoolofcompositionthatstronglyinfluencedmusicthroughoutthetwentiethcenturyandmanyothertopicsinvolvingmathematicalideasfromprobabilitytheorytoFourierseriestogrouptheory.Healsorelatessomecautionarytalesofmisguidedattemptstomixmusicandmathematics.Boththemathematicalandthemusicalconceptsaredescribedinanelementaryway,makingthebookaccessibletogeneralreadersaswellastomathematiciansandmusiciansofalllevels.ThebookisaccompaniedbyanaudioCDofmusicalexamples.