Rotations,Quaternions,andDoubleGroups

Thisself-containedtextpresentsaconsistentdescriptionofthegeometricandquaternionictreatmentofrotationoperators，employingmethodsthatleadtoarigorousformulationandofferingcompletesolutionstomanyillustrativeproblems.
Gearedtowardupper-levelundergraduatesandgraduatestudents，thebookbeginswithchapterscoveringthefundamentalsofsymmetries，matrices，andgroups，anditpresentsaprimeronrotationsandrotationmatrices.Subsequentchaptersexplorerotationsandangularmomentum，tensorbases，thebilineartransformation，projectiverepresentations，andthegeometry，topology，andalgebraofrotations.Somefamiliaritywiththebasicsofgrouptheoryisassumed，butthetextassistsstudentsindevelopingtherequisitemathematicaltoolsasnecessary.，