How ol d wa s Diophantu s whe n h e died ?
Little backgroun d i s required fo r th e journey ahead , an d a
iarity wit h numbe r theor y i s no t expected . A n understandin g
culus an d basi c linea r algebr a togethe r wit h th e desir e an d abi
prove theorems ar e all that i s needed for most o f the material . T
the en d o f this book , a fe w module s requir e som e familiarit y wi
ginning abstrac t algebra . Eac h mathematica l them e i s presente
self-contained manne r an d i s motived b y very basi c notions . Ho
beware: Ther e ar e a fe w majo r jolt s alon g th e way—som e extr
challenging question s an d eve n som e ope n problem s ar e throw
In thi s book , yo u a s th e reade r wil l b e a n activ e particip
the exploration s tha t li e ahead . I n fact , th e cove r ar t illustrate
theme—hidden i n th e fron t an d bac k cover s ar e "magic " stere
images. Th e secre t t o seeing the hidde n image s i s to gaze a t th
but focu s (converg e you r eyes ) o n a positio n twic e a s fa r aw
the cover . After a fe w minute s th e 3- D imag e shoul d appea r (h
viewing hint s ar e include d o n th e insid e o f th e fron t cover) .
by activel y participating , yo u wil l b e abl e t o discove r th e oth
invisible structur e an d richnes s i n th e numbe r jungle .
Each modul e comprise s a sequenc e o f numbere d question
you ar e aske d t o answe r an d statement s tha t yo u ar e aske d t o
Many hint s an d remark s ar e include d an d shoul d b e freel y u
and enjoyed. Th e hint s d o no t revea l an y answers ; instea d th
designed t o giv e a gentl e pus h i n a particula r direction . The
placed a t th e en d o f th e boo k onl y t o allo w readers , i f the y
to thin k abou t th e issue s first withou t bein g distracted . Ther
wrong way of using the hints, and readers are welcome to imme
visit the m i f the y wish . Ther e ar e thre e type s o f (star-struck )
and throughou t th e tex t yo u will see the symbol s [ *
HINT] ,
[*
and [ * * *
HINT ]
. A one-starred hin t provide s a tiny nudg e to h
you started . A two-starred hin t contain s mor e extensiv e remar
suggestions, an d a three-starre d hin t i s mor e significan t an d p
includes an outline or overview of a plan of attack. Eac h module
with a Big Picture Questio n tha t invite s you to ste p bac k fro m
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