,P]SONAL ,P]SPECTIVES ON ,UNIFI$
        ,5GLI% ,BRL = ,MA!MATICS
           ,KYLE ;,J4 ,/E9LE
         ,TEXAS ,TE* ,UNIV]S;Y

    ,AB/RACT
  ,2+ A MA!MATICIAN1 ,I UTILIZE ,UNIFI$
,5GLI% ,BRL = MA!MATICS ON A REGUL>
BASIS4 ,? PAP] REPRES5TS MY P]SONAL
P]SPECTIVES ON ,UNIFI$ ,5GLI% ,BRL =
MA!MATICS & XS ADVANTAGES4
  ,I AM A MA!MATICIAN4 ,I R1D & WROTE
MA!MATICAL MAT]IAL Z A SI<T$ P]SON UNTIL
,VAL5T9E'S ,"D ( #BJJB :5 ,I 0 9 ! EI<?
GRADE4 ,Z ! RESULT ( A %OOT+ A3ID5T1 ,I
2CAME COMPLETELY BL4 ,?US1 ,I NE$$ TO
LE>N ANO!R WAY 9 : TO R1D & WRITE
MA!MATICS4
  ,I LE>N$ ,5GLI% ,BRL ,AM]ICAN ,$I;N1 !
,NEME? ,CODE = ,MA!MATICS & ,SCI;E
,NOTA;N "<,NEME? ,CODE">1 & ,COMPUT]
,BRL ,CODE4 ,I EV5 TAU<T MYF ! ,MUSIC
,BRL ,CODE1 ! ,BRL ,CODE = ,*EMICAL
,NOTA;N1 & GRADE ?REE BRL4 ,I RECALL "O
,G]MAN HOME"W ASSIGN;T ,I _H 9 HI<    #A
S*OOL ": ,I WROTE ! DATE US+ ,NEME?
,CODE4 ,A BRL TRANSCRIB] ASSIGN$ TO ME
TOLD ME TO USE ,NEME? ,CODE ONLY =
MA!MATICS4 ,I WOND]$ :Y "! 7 MULTIPLE
BRL CODES1 = :5 ,I CD SEE1 ,I DID N NE$
TO USE DI6]5T PR9T CODES TO WRITE
MAT]IAL 9 DI6]5T SUBJECT >1S4 ,H["E1 ,I
?"\ NO?+ ( X 2C ,I DID N WANT TO "Q
E/ABLI%$ PRACTICES AF 2+ BL = ONLY A YE>
OR TWO4 ,ACLY1 ,I US$ ,NEME? ,CODE ONLY
= MA!MATICS4
  ,I US$ ,NEME? ,CODE = MA!MATICS UNTIL
MY SECOND YE> "<#BJAD"> Z A GRADUATE
/UD5T AT ,TEXAS ,TE* ,UNIV]S;Y
"<,,TTU">4 ,DUR+ MY SECOND YE> "<#BJJG">
AT ! ,UNIV]S;Y ( ,MA9E AT ,F>M+TON1 ":
,I SP5T MY F/ TWO YE>S ( COLLEGE1 ,I MET
A BL /UD5T :O TOLD ME AB A NEW BRL CODE4
,T IS :5 ,I 4COV]$ T ! ,BRL ,AU?OR;Y (
,NOR? ,AM]ICA "<,,BANA"> 0 RESE>*+ ?
UNI=M BRL CODE1 B ,I DID N LE>N X !N 2C
! ,UNIT$ ,/ATES _H N YET ADOPT$ ! NEW
CODE4 ,!N1 9 #BJAC1 ,I R1D AN ANN\NCE;T
T SD ! ,BRL ,AU?OR;Y ( ,NOR? ,AM]ICA _H
ADOPT$ ,UNIFI$ ,5GLI% ,BRL            #B
"<,,UEB">1 S ,I RESE>*$ & D[NLOAD$ ,!
,RULES ( ,UNIFI$ ,5GLI% ,BRL "<#BJAC"> &
,GUIDEL9ES = ,TE*NICAL ,MAT]IAL
"<#BJJH">4 ,= A LL OV] A YE> ,I /UDI$ ^!
TWO BOOKS US+ MY REFRE%ABLE BRL 4PLAY4
,AT F/1 X SEEM$ /RANGE T MA!MATICS 9
,,UEB 0 REPRES5T$ DI6]5TLY ?AN MA!MATICS
9 ,NEME? ,CODE WAS1 B AF ,I 2CAME US$ TO
H[ ,,UEB MA!MATICAL SYMBOLS 7 WRITT51 !Y
MADE S5SE4 ,X 0 EASY TO R1D BO? TEXT &
MA!MATICS 2C ,I CD D S )\T 3/ANTLY HAV+
TO SWIT* 2T CODES4 ,!N1 AT ! 2G9N+ ( MY
SECOND YE> Z A MA!MATICS GRADUATE /UD5T
AT ,,TTU1 ,I DID ALL ( MY "W US+ ONLY
,,UEB4 ,! F/ MON? OR TWO ,I R1D A BIT M
SL[LY1 B AF ,I PRACTIC$ 3SI/5TLY1 R1D+
2CAME EASI]4 ,! PROCESS 0 M* L :5 ,I F/
LE>N$ BRL 9 #BJJB4
  ,I /UDI$ ALGEBRA1 NUMB] !ORY1
/ATI/ICS1 & TOPOLOGY AT A GRADUATE LEVEL
US+ ,,UEB4 ,:5"E ,I 5C.T]$ A SYMBOL ,I
DID N RECALL1 ,I REF]R$ TO ! ,9T]NA;NAL
,C\NCIL ON ,5GLI% ,BRL'S TWO RULEBOOKS1
MA9LY ,GUIDEL9ES = ,TE*NICAL ,MAT]IAL4
,AF US+ ^! BOOKS FREQU5TLY1 ,I DID    #C
N NE$ TO REF] TO ! RULEBOOKS M* AT ALL4
,J L ,NEME? ,CODE1 A US] DOES N NE$ TO
MEMORIZE ! :OLE RULEBOOK 2F US+ ,,UEB =
MA!MATICS2 X J TAKES PRACTICE4
  ,REG>D+ R1D+ SPE$ = MA!MATICS1 ,PAUL
,HALMOS "<#AIFJ"> WRITES 9 ,NAIVE ,SET
,!ORY3 8,HE %D N 2 4C\RAG$ IF HE F9DS T
8 R1D+ RATE IS 3SID]ABLY SL[] ?AN
NORMAL40 ,9 O!R ^WS1 /UDY+ MA!MATICS IS
AB "U/&+ MA!MATICAL 3CEPTS1 N SPE$ R1D+
"? MA!MATICAL SYMBOLS4 ,9DE$1 MA!MATICAL
DOCU;TS D N 3TA9 J A LI/ ( EQUA;NS ) NO
,5GLI% 3T5T4 ,MA!MATICIANS AL USE
N>RATIVE DIALOG TO EXPLA9 MA!MATICAL
3CEPTS4 ,TYPICALLY1 A MA!MATICAL
TEXTBOOK 3TA9S AXIOMS1 DEF9I;NS1 &
!OREMS S* T ! PRO( ( A !OREM GUIDES A
R1D] N>RATIVELY "? A MA!MATICIAN'S
R1SON+ PROCESS4 ,= EXAMPLE1 ,EUCLID'S
,ELE;TS HAS V FEW MA!MATICAL SYMBOLS1 B
GUIDES ! R1D] "? A PROPOSI;N 9
UNSOPHI/ICAT$ LANGUAGE US+ DEF9I;NS1
PO/ULATES1 & COMMON NO;NS EXPLA9$ 2FH&4
,9 FACT1 ALL ! GRAPHICS 9 ,EUCLID'S
,ELE;TS 7 ADD$ LAT] ON4               #D
  ,I AM EMPLOY$ Z A T1*+ ASSI/ANT AT 
,,TTU4 ,I AM AL 2COM+ C]TIFI$ Z A BRL
TRANSCRIB]1 & ,I 9T5D TO TRANSCRIBE
MA!MATICAL DOCU;TS AF ,I E>N TRANSCRIB]
C]TIFICA;N4 ,? IS 2C "O ISSUE BL COLLEGE
/UD5TS FACE IS SIMPLY A3ESS+ HI<] $UCA;N
MA!MATICS VIA BRL4 ,9 FACT1 ,I _H TO
PUR*ASE BRL TRANSCRIB+ S]VICES = ?REE
MA!MATICAL TEXTBOOKS ) NO HELP F MY
UNIV]S;Y'S ,4ABL$ ,/UD5T ,S]VICES (FICE4
,:5 A PR(ESSOR WROTE TO ! ,4ABL$ ,/UD5T
,S]VICES (FICE REQUE/+ T SIX DOCU;TS 2
TRANSCRIB$ 9TO BRL S T ,I CD ANALYZE
GRAPHICAL DATA1 !Y REPLI$1 8,WE D N
TRANSCRIBE DOCU;TS 9TO BRL ANY L;G] Z X
IS N ! MO/ E6ECTIVE ALT]NATIVE TO
.<SIC.> MAK+ A DOCU;T A3ESSIBLE0 "<;,L4
,PHILLIPPE1 P]SONAL COMMUNICA;N1
,DECEMB] #B1 #BJAE">4 ,I "!=E PLAN TO
E>N A ,DOCTOR ( ,PHILOSOPHY DEGREE 9
MA!MATICS & RESE>* & DEVELOP R1SONABLE
A3OMMODA;NS = BL /UD5TS 5ROLL$ 9 HI<]
$UCA;N MA!MATICS C\RSE"W4 ,USE ( ,,UEB
%D HELP FACILITATE S* A3OMMODA;NS4
  ,LA,TE,X IS A P[];L PROGRAM =       #E
PROCESS+ MA!MATICS : PR(ESSORS (
MA!MATICS USE ALL ! "T4 ,I USE ,LA,TE,X
MYF TO WRITE MA!MATICS2 AF WRIT+ A
MA!MATICAL DOCU;T VIA ,,UEB DIRECTLY ON
MY REFRE%ABLE BRL 4PLAY1 ,I TRANSLATE
EA* MA!MATICAL SYMBOL 9TO ,LA,TE,X COD+
& !N TRANSF] ! RESULT TO MY COMPUT] S T
,I C =MAT X VIA ,LA,TE,X4 ,IF "! IS "O
BRL CODE = BO? TEXT & MA!MATICS1 !N A
PACKAGE = ,LA,TE,X C 2 CR1T$ S* T
,LA,TE,X C EI \TPUT A ,,UEB BRL FILE OR
CR1TE A DOCU;T T C 2 TRANSLAT$ BY A BRL
TRANSLA;N PROGRAM4 ,A PR(ESSOR AT ,,TTU
TOLD ME T IF HE GOT A GRANT & 0 ABLE TO
LE>N ,,UEB1 HE WD LOOK 9TO CR1T+ A
PACKAGE = ,LA,TE,X2 ! PACKAGE WD ALL[
,LA,TE,X EI TO 2 PROCESS$ DIRECTLY 9TO
BRL OR TO 2 TRANSLAT$ 9TO BRL US+ A BRL
TRANSLA;N PROGRAM4
  ,I 5D ": ,I 2GAN3 ,I AM A MA!MATICIAN
:O SU3ESS;LLY UTILIZES ,,UEB = ALL
MA!MATICAL MAT]IAL & AM EXCIT$ T ,I C6

    ,REF];E
,HALMOS1 ;,P4 ;,R4 "<#AIFJ">4         #F
  ,NAIVE SET !ORY4 ,NEW ,YORK3 
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