Prerequisites an d
Overview
Throughout thi s book , R i s th e se t o f rea l numbers , Z i s th e se t o f
all integers , N i s th e se t o f nonnegativ e integers , an d M * i s th e se t o f
positive integers .
The prerequisit e knowledg e use d i n thi s boo k i s generall y covere d
in th e firs t tw o year s o f college :
Elementar y se t theory : sets , produc t sets , functions ;
Combinatorics : countability , combinations ;
Rea l numbers : sequences , limits , compariso n o f sequence s
(the meanin g o f th e symbol s ~ , o , an d O i s reviewe d i n
Chapter 6) ;
Rea l function s o f a rea l variable : limit s an d continuity , clas -
sical functions , integratio n o f a continuou s functio n ove r a
real interval , Rieman n sums .
In probabilit y theory , a limit theorem i s a theore m abou t conver -
gence tha t relate s t o th e outcom e o f a sequenc e o f trial s o f a proba -
bilistic experiment . Chapter s 5 throug h 13 ar e eac h centere d aroun d
a typ e o f limi t theorem .
Heads or Tails i s compose d o f thre e parts . I n th e firs t part ,
consisting o f Chapter s 1 throug h 4 , w e provid e th e mathematica l
1
http://dx.doi.org/10.1090/stml/028/01
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