Preface
xm
A c k n o w l e d g e m e n t s : Thi s boo k i s base d o n th e combine d content s o f sev -
eral o f m y previou s graduat e course s i n probabilit y theory . Man y o f thes e
were give n a t th e Universit y o f Uta h durin g th e pas t decad e o r so . Also , I
have use d part s o f som e lecture s tha t I gav e durin g th e formativ e stage s o f
my caree r a t MI T an d th e Universit y o f Washington . I wis h t o than k al l
three institution s fo r thei r hospitalit y an d support , an d th e Nationa l Scienc e
Foundation, th e Nationa l Securit y Agency , an d th e North-Atlanti c Treat y
Organization fo r thei r financia l suppor t o f m y researc h ove r th e years .
All scholar s kno w abou t th e merit s o f librar y research . Nevertheless ,
the rol e o f thi s lor e i s underplaye d i n som e academi c texts . I , fo r one , foun d
the followin g t o b e enlightening : Billingsle y (1995), Breima n (1992), Cho w
and Teiche r (1997), Chun g (1974), Crame r (1936), Dudle y (2002) , Durret t
(1996), Fristed t an d Gra y (1997), Gnedenk o (1967), Karli n an d Taylo r (1975,
1981), Kolmogoro v (1933, 1950), Krickeber g (1963, 1965), Lang e (2003) ,
Pollard (2002) , Resnic k (1999), Strooc k (1993), Varadha n (2001), William s
(1991), an d Woodroof e (1975). Withou t doubt , ther e ar e othe r excellen t
references. Th e studen t i s encourage d t o consul t othe r resource s i n additio n
to th e presen t text . H e o r sh e woul d d o wel l t o remembe r tha t i t ma y b e
nice t o kno w facts , bu t i t i s vitall y importan t t o hav e a perspective .
I a m gratefu l t o th e followin g fo r thei r variou s contribution s t o th e de -
velopment o f thi s book : Nelso n Beebe , Rober t Brooks , Piete r Bowman , Re x
Butler, Edwar d Dunne , Stewar t Ethier , Victo r Gabrenas , Pran k Gao , An a
Meda Guardiola , Ja n Hannig , Henry k Hecht , Lajo s Horvath , Zsuzsann a
Horvath, Ada m Keenan , Kari m Khader , Remigiju s Leipus , A n Le , Davi d
Levin, Michae l Purcell , Pejma n Mahboubi , Pedr o Mendez , Ji m Pitman , Na -
talya Pluzhnikov , Matthe w Reimherr , Shang-Yua n Shiu , Jose f Steinebach ,
James Turner , Joh n Walsh , Ju n Zhang , an d Lian g Zhang . Man y o f thes e
people hav e helpe d find typographica l errors , an d eve n a fe w seriou s mis -
takes. Al l error s tha t remai n ar e o f cours e mine .
My famil y ha s bee n a stalwar t pilla r o f patience . Thei r kindnes s an d
love wer e indispensabl e i n completin g thi s project . I than k the m deeply .
And las t bu t certainl y no t th e least , m y eterna l gratitud e i s extende d t o
my teachers , pas t an d present , fo r introducin g m e to th e joys of mathematics .
I hop e onl y tha t som e o f thei r ingenuit y an d spiri t persist s throughou t thes e
pages.
Davar Khoshnevisa n
Salt Lak e City , Januar y 200 7
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