JOHN'S TAILOR SHOP
',The Clothing Stores' Tailor"
Alterations for Men and Women.
Pressing While You Wait
118% E. Washington NO '2-4617
(above Conlin and Wetherbee
3-D OR NOT 3-D-That is the question Prof. G. S. Young is
answering for Albert Young, '61, Math 2 student. Prof. Young
describes the drawing of this topological Klein bottle as a third
dimension picture, in the second dimension, of a fourth dimension
ARMY-NAVY type Oxfords - $7.25;
socks 39c; shorts, 69c; military sup-
plies. Sam's Store. 122 E. Washington.
GUY CARI is now accepting applica-
tions in his newest beauty college.
Days, afternoons, and evening classes.
For student beautician. For more in-
formation write or call Ann Arbor
Beauty College, 4567 Washtenaw,
Ypsilanti or NO 5-7500. )CC1
HAVE YOUR SWEATERS knitted espe-
cially for you, designed to fit you ex-
actly. Choose colors, style. NO 3-9260.
SHOES dyed any color, nylon lifts
for those little heels. Same day
heel service (on request). Invisible
RAPID SHOE REPAIR
216 E. Washington
Freeman men's shoes
'51 MERCURY. Radio, heater, good
tires, clean. Runs like new. It will
get you to the Arb and back' and
back again. $227. NO 2-8923 any time.
'49 CHEVROLET. Absolutely no rust!
Excellent interior. Recent motor over-
haul. Radio, heater, defroster. Ex-
cellent tires. New battery. $425. NO
5-6555. - N29
We pay top dollars for good used cars.
GENE'S AUTO SALES
544 Detroit St. NO 3-8141
CONVERTIBLE-One owner '49 Ford.
Motor perfect. Body, Top, Radio,
Heater, Overdrive all good. First $175
takes it. See it at Young's Gulf Serv-
ice on Broadway, then call 2-1069. N26
HILLMAN 1958 Four-door wagon heat-
er. Like new. HU 2-7140. N1o
Figure 5 average words to a line.
Call Classified between 1:00 and 3:00 Mon. thru Fri.
and 9:00 and 11 :30 Saturday - Phone NO 2-4786
ONLY IN MICHIGAN .. . Is everything
illegal, immoral, or TRADITION !
BURR: I will meet you at 1209 S. Uni-
versity to look at the official Michigan
Burr Patterson and Auld Co.
Guitars, qualified instructor,
Call Maddy Music for details.
NO 3-3395 508 E. Williams
Time to buy that new rain or
shine coat --Place to buy
is the DILLON SHOP on
Forest Ave. See the new,
beautiful prints with hats
and umbrellas to match from
PORTRAITS SKETCHED-at Cousin's
store, 309 S. State Tuesdays only.
Real imported Shetland yarn now
available for 65o an oz., 25 colors
including leathers. NO 3-0877. .. )F14
Theses, Essays, Reports, etc. Edited
and Typed at SPECIAL RATE FOR
STUDENTS. Joan Coball, NO 3-6942.
GOOD MEALS: Frat, five minutes from
Engineering Building. Reasonable.
Any or all meals. Steward NO 3-2600.
By graduating student, certified
campus rooming house. Gross
monthly income $300 plus four
room owner's apartment. NO 2-6094
afternoons and evenings. I
We have served the Faculty, Staff
and Students of the University of
Michigan in the field of Real Es-
tate and General Insurance. May
we serve you?
F. A. Sargeant Co,
401 E. Liberty St.
By NORMA SUE WOLFE
"We're not a problem-solving
"We lean a lot towards theory.
In fact, if We ever do anything
useful, it's by mistake," Prof. G. S.
Young said recently as he intro-
duced his students to Math 2.
Prof. Young believes that it
should be possible to find out
about any subject without major-
ing in it. This, he said, is the pur-
pose of his Introduction to Mathe-
matical Theory course.
"Most of my friends just laugh
when I 'say I completed Math 1'
and am now taking 2," Gaynl
Kessler, '62, said. "They ask if
I didn't take any math in high
school. Actually, it's a very stim-
ulatinghcourse - and it's hard
too," she, added.
In September, the students were
introduced to Boolean algebra, a
mathematical process of doing de-
Sductive logic. In honor of the
University's new students, Prof.
Young illustrated the process with
the followink example:
1) All freshmen wish they could
2) People with sense like only
Therefore, no freshman has
The study of Boolean algebra
was highlighted by historic side-
notes on its development. Then
the class delved into various num-
ber bases and amazed their
friends by saying that two multi-
plied by two was 10 (in the base
of 4, of course).
Ancient Egyptian multiplication
methods, an infinite number of
pool balls sliding down imaginary
chutes, proofs on prime and ir-
rational numbers and geometric
progressions were next presented
to the students.
They were introduced to pro-
gressions when Prof. Young be-
gan what they later identified as
his "walking habit." He stood
against the wall at one side of
the room, walked half way across
in two seconds and asked if he'd
ever reach the opposite wall by
consuming the same amount of
time as he continued advancing
half of the remaining distance.
His query was greeted by cries
of yes and no. Prof. Young then
proved to his doubting students
that under those circumstances,
h would never reach the wall.
They concluded the semester
with infinite sets and one-to-one
correspondences, ruler and com-
pass constructions of geometrical
figures and non-Euclidean geom-
etry. Geometry consisted of Rie-
mannian and Lobatchevskian (of
Nikolay Ivanovich fame) theories.
This phase of the course neces-
sitated imagining universes with
no or many lines through a given
point parallel to a given line. Stu-
dents also had to learn that a line
was no longer a line, a point not
a point and an angle not an angle.
Suddenly, triangles had angle
sums of more or less than 180 de-
Math 2 'Esoteric'
Math 2 opened with what Prof.
Young described as an "advanced,
esoteric" subdivision of mathe-
matics. Students who were re-
quired to have only one year of
algebra and another of plane ge-
ometry as prerequisites found
themselves deep in topology.;
Wrapped in mobius strips, Klein.
bottles, toruses, Euler characteris-
tics, and the undefinable fourth
dimension, the class suddenly,
seemed to resemble a bakery.
Next the class advanced to
group theory and is presently
working on congruencies. The re-
maining weeks will offer alge-
braic number fields and the study
"What we're trying to do is the
thing mathematicians do. No one
enjoys doing quadratic equations,"
Prof. Young said.
Teaches High Theory
According to =him; there's noth-
ing in the course that he studied
before becoming a 'graduate stu-
dent in mathematics.
Prof. Young also' said that there
is no logical, only a psychologi-
cal, reason why students cannot
tape this course and then begin
immediately on mathematical re-
"This course is distinguished
from all other liberal arts crea-
tive math classes because it offers
a chance to show creative ability.
It is also distinctly more high-
brow," he added.
"In fact, I know of no other
undergraduate course like it in
the country," he concluded.
Sandy McAdam, '62, has found
the Boolean algebra-type logic
useful in writing courses, while
George Sparrow, '60, called it a
"I've never really done too well
in mathematics before - couldn't
do it without understanding what
was behind it," Sparrow said. "I
saw myself undergo quite a
change after using the logical
point of yiew in outside proofs . .
such a valuable course, that I'd
like to audit it again next year,"
Guaranteed Used Cars
With insulated cab, like new.
Radio, heater, Hydra-Matic.
Picks- 0 Best Buys In
issue of Mechanics Il-
We sell both.
MICHIGAN EUROPEAN CAR
NO 5-5861 303 S. Ashley NO 5-5800
2 ROOM furnished apt. Private bath,
near Freeze Bldg. Couple only. Call
NO 3-2130. C78
ACROSS from Ferry Field, 2 rooms,
private bath, partially furnished, 1st
floor. Inquire Phil Spear, 1216 S.
520 SOUTH DIVISION. 1st floor fur-
nished apt., best in this area, avail-
able March 14. A bargain at $100 a
month. Including utilities and park-
ing. A couple with one child accept-
able. Call NO 5-5621 for appointment.
NO PARKING PROBLEMS. Park right
in front of your room. Single rooms.
Hot and cold water. Linen service.
NO 5-5157. C74
COOKING FACILITIES, T.V., Linens,
laundry facilities. $8/wk-single, or $6
wk-double. Phone HA 6-2321. C75
CLOSE TO CAMPUS, newly remodeled
attractively furnished and moderately
priced. Two large rooms and bath
for sing.e person. Three rooms and
bath for married couple. Phone NO
NEAR CAMPUS - 5 rooms furnished
suitable for 4 men students or couple.
Automatic gasaheat. $130. NO 2-3600
or NO 8-7891 after 6 P.M. C65
APARTMENT for Rent. 3 rooms with
bath. Furnished, clean and quiet.
$80 per month. NO 2-4727 after 4:30
NOW AVAILABLE-very large room for
2. Fireplace, private entrance, $8 per
week each. NO 3-1511, Ext. 2911 daily,
evenings NO 3-4316. C67
NEWLY FURNISHED and remodeled
apartment for four adults. Tiled bath
and garage disposal. % block from St.
Joseph's Hospital. NO 2-0671. C69
UNIVERSITY TERRACE & Northwood
apartments - available immediately.
They are available for immediate oc-
cupancy-efficiency; one & two bed-
room apartments at both University
Terrace & Northwood Apartments. To
be eligible you must be a married
student or full-time faculty member
who is not already' assigned to either
University Terrace or Northwood
Apartments. For information please
contact Mr. Melhuish, 1056 Adminis-
tration Building or call NO 3-1511,
Ext. number 3311 or 2914. C63
MALE STUDENT to share furnished
apartment with 3 others, swimming
pool. 10 minutes from campus. NO
ONE BLOCK FROM CAMPUS: House-
keeping room. Also efficiency apart-
ment-private bath. 514 S. Forest, NO
STUDENT ROOMS for rent, % block
from campus, Several rooms and
suites to select from. Reasonable
rates. Phone NO 8-7942. 1218 Wash-
2 ROOM furnished apt., all utilities
except gas for cooking. Married couple
-no children. NO 8-8900. C57
SINGLE ROOMS for men, attractive.
Linens & cleaning. As low as $6 wk.
NO 3-6039, call after 6 P.M. C31
LGE. APTS. for rent. Very reasonable.
Call 3-4402. C36
Large quiet rooms for men. Near
campus. NO 3-4747. )C3
BOYS' ROOMS available next semes-
ter. 617 E. University. Contact Jim
Booth, Rm. 10 or call 3-7159. )C15
RARE Violins & String Instrument
repairs, Pianos (Baldwin, Ivers &
Pond, Estey) and Organs (Baldwin,
Estey, Thomas) New and Used.
508 E. Willisn NO 3-3223
POPULAR L.P. HIT ALBUMS
$3.98 values to $2.79 includes:
STILL MORE-Mitch Miller
STARDUST - Pat Boone
BILLY VAUGHN plays the Million
REVERIE and Songs of the South
-N. Luboff Choir
and many others
323 South Main NO 8-7312
Big savings on
Fords And Other Fine Cars
Rented by Hour, Day, or Week
WEEKEND SPECIAL RATE
from Friday 5 P.M. till
Monday 9 A.M.
INCOME TAX SERVICE
M. J, Thurber - Phone NO 2-3455
Phone NO 2-4786
far Classified Advertisinc
'2805 E. Michigan
A PRIVATE DRIVE lined with graceful
weeping willows beside a spring-fed
swimming pond leads you to the front
door of this new commodious Early
American style home. The entry walls
accommodate many books and bric-a-
brac and the really big living room
has an adjoining conservatory stocked
with growing plants and vines. A full
size dining room will put back the
fun in entertaining as will the big
cozy paneled kitchen. Approx. 2 se-
cluded idyllic acres inside city. Best
cash offer takes it. NO 3-0148. B11
LOST AND FOUND
LOST-Large orange and white tomcat,
handsome "patched" shorthair. Chil-
dren's pet. NO 2-8129. A15
LOST: One brown wallet, East Engi-
neering Building. Containing impor-
tant papers. Please contact Cliff at
NO 2-5053. A14
LOST-A gold wedding ring sometime
Monday morning. If found call Mike
Barie at NO 3-7064 A13
Male and Female DANCING INSTRUC-
TORS 18-35 years of age. Experience
preferred but not necessary. Training
classes beginning Sat., March 7th.
Applications accepted in person at
1311 S. University. H14
Radio, heater, Hydra-Matic.
300 South Thayer
PIANOS - ORGANS
Best offer Keyboard Service
WURLITZER SOHMER e KIMBALL
ANN ARBOR PIANO CO.
213 E. Washington, NO 3-3109
Complete line of HiFi components
including Kits; complete Service on
radio, phonographs and HiFi equip-
$10.00 plus $.08 per mile
Gas, oil and insurance included
Eddie's Paint Store
White paint ........ $1.98 per gal.
Colors ........... $2.48 per gal.
117 E. Ann NO 8-6966
1959's loveliest figures will be molded
by the Famous - Fabulous - Figure
Control Girdles, now on sale during
March by Playtex from the DILLON
Elizabeth Dillon Shop
1111ES. University 530 S. Forest
and COMPLETE SERVICE at
119 East Ann Street
(opposite court house)
PAPERS EDITED and Typed. Quick
service. Spelling, punctuation need
correction? NO 8-6276. J30
LADIES BARBER SHOP
1108a S. University
Only barber in town who is a
trained and licensed Ladies' Hair
2500 W. STADIUM
NEW LP SPECIALS
New! Bernstein and the
Tchaikovsky - Symphony No. 4
Regularly $4.98 -
This Week $3.89
CAR SERVICE, ACCESSORIES
NEW ATLAS TIRES
"Gripsafe" in sets of 4; 4-670x15,
$58.75; 750x14, $74.95; (plus recap-
able tires and tax). Other sizes
comparably low. Tune-ups. Brake
HICKEY'S SERVICE STATION
Cor. Main & Catherine NO 8-7717
WHITE'S AUTO PAINT SHOP
Bumping and Painting
2007 South State NO 2-33502
'(plus 8c per mile)
New! Sinatra Sings -
"Love is a Kick"
Regularly $3.98 -
This Week $2.89
Now, Dad's hunitng trip needn't leave Mom without a car!
You can rent an extra car this weekend-from 5 P.M. Friday
till 9 A.M. Monday at low bargain rates that include gas, oil,
insurance. Call now, while the selection of fine cars lasts.
THIS WEEK SAVE $1.09 THIS WEEK
- CAMPUS -- - DOWNTOWN -
211 S. State 205 E. Liberty St.
NO 8-9013 NO 2-0675
LI BERTY MUSIC SHOPS
v ee , s
ROOM AND BOARD
1954 NEW MOON TRAILER. 36' x8' on
lot; priceed to sell; call NO 2-7534.
J i ll CUCIACCCD DARVOR F'TERRR1CK Ellj
lSiifS .:...... wvs. .....,. .. .. :._