Acknowledgements
Our decisio n t o writ e thi s boo k aros e fro m th e succes s o f a serie s o f
graduate seminars , VIGR E courses , and th e NSF REU Matrix Analy-
sis and Wavelets a t Texa s A& M Universit y ove r th e year s 1997-2006.
We wis h t o expres s ou r thank s t o th e Nationa l Scienc e Foundatio n
and to the Mathematics Departmen t a t Texa s A&M University for th e
resources whic h enable d thes e seminars , courses , an d RE U program s
to tak e place .
The student s wh o too k par t i n thes e activitie s a t Texa s A& M
University helpe d t o shape ou r visio n an d understandin g abou t fram e
theory. A s w e lectured, mentored , an d answere d questions , th e idea s
which ar e presen t i n thi s boo k wer e takin g form . Student s wh o gav e
presentations o r worke d o n researc h project s relate d t o thi s mate -
rial helpe d u s t o adap t th e materia l t o b e usefu l fo r undergraduat e
students. W e heartily expres s ou r thank s t o al l o f thes e students .
Preliminary version s o f thi s boo k hav e bee n use d i n RE U pro -
grams, seminars , an d course s a t Texa s A& M University , th e Univer -
sity o f Centra l Florida , th e Universit y o f Iowa, Iow a Stat e University ,
and Grinnel l College . Student s i n thes e program s hav e foun d er -
rors an d oversights , worke d ou t th e exercises , discovere d duplication s
or inconsistencies , an d give n u s valuabl e feedbac k o n th e book . W e
greatly appreciat e thei r contributions . W e particularl y recogniz e th e
xin
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