I., ALTERATIONS 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 Clothing Store) I BARGAIN CORNER )P1 Daily-Paul Nida 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 figure.t NOTHING USEFUL': ARMY-NAVY type Oxfords - $7.25; socks 39c; shorts, 69c; military sup- plies. Sam's Store. 122 E. Washington. )W1 BUSINESS OPPORTUNITY 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 BUSINESS PERSONAL HAVE YOUR SWEATERS knitted espe- cially for you, designed to fit you ex- actly. Choose colors, style. NO 3-9260. FF1 BUSINESS SERVICES SHOES dyed any color, nylon lifts for those little heels. Same day heel service (on request). Invisible half soling. RAPID SHOE REPAIR 216 E. Washington Freeman men's shoes J9 USED CARS '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. N28 '49 CHEVROLET. Absolutely no rust! Excellent interior. Recent motor over- haul. Radio, heater, defroster. Ex- cellent tires. New battery. $425. NO 5-6555. - N29 WANTED We pay top dollars for good used cars. GENE'S AUTO SALES 544 Detroit St. NO 3-8141 )N2 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 LINES 2 3 .4 ONE-DAY .80 .96 SPECIAL TEN-DAY RATE .47 .54 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 PERSONAL ONLY IN MICHIGAN .. . Is everything illegal, immoral, or TRADITION ! F65 BURR: I will meet you at 1209 S. Uni- versity to look at the official Michigan ring. Patt. Burr Patterson and Auld Co. F46 GUITAR LESSONS: Guitars, qualified instructor, Call Maddy Music for details. NO 3-3395 508 E. Williams )F1 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 $17.95. F60 PORTRAITS SKETCHED-at Cousin's store, 309 S. State Tuesdays only. F43 KNITTERS REJOICE! Real imported Shetland yarn now available for 65o an oz., 25 colors including leathers. NO 3-0877. .. )F14 MISCELLANEOUS PROFESSIONAL STENOGRAPHER Theses, Essays, Reports, etc. Edited and Typed at SPECIAL RATE FOR STUDENTS. Joan Coball, NO 3-6942. MS GOOD MEALS: Frat, five minutes from Engineering Building. Reasonable. Any or all meals. Steward NO 3-2600. )M1 INCOME 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, REALTORS 401 E. Liberty St. INSURERS NO 2-32! .._ . By NORMA SUE WOLFE "We're not a problem-solving type course. "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: Freshmen Wish 1) All freshmen wish they could drink beer. 2) People with sense like only champagne. Therefore, no freshman has sense. 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. Proves Doubt 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- grees. 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 of calculus. "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- search. "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 "tremendous" help. "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," he said. Guaranteed Used Cars 1959 JEEP With insulated cab, like new. Priced $2,495 1956 PONTIAC Four-door sedan. Radio, heater, Hydra-Matic. $895 Picks- 0 Best Buys In Economy Cars-March issue of Mechanics Il- lustrated. 1956 OLDS Four-door hardtop, full power. $1,495 We sell both. MICHIGAN EUROPEAN CAR CORPORATION NO 5-5861 303 S. Ashley NO 5-5800 J53 1956 BUICK Four-door hardtop. Radio, heater, automatic transmission. $1,295 FOR RENT 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. University. C99 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. C76 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 8-6075. C71 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 C66 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 5-7602. )C20 ONE BLOCK FROM CAMPUS: House- keeping room. Also efficiency apart- ment-private bath. 514 S. Forest, NO 2-1443. C52 STUDENT ROOMS for rent, % block from campus, Several rooms and suites to select from. Reasonable rates. Phone NO 8-7942. 1218 Wash- tenaw. )C29 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 STUDY UNDISTURBED. 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 MUSICAL MDSE., RADIOS, REPAIRS RARE Violins & String Instrument repairs, Pianos (Baldwin, Ivers & Pond, Estey) and Organs (Baldwin, Estey, Thomas) New and Used. Terms. MADDY MUSIC 508 E. Willisn NO 3-3223 )X2 POPULAR L.P. HIT ALBUMS $3.98 values to $2.79 includes: STILL MORE-Mitch Miller STARDUST - Pat Boone BILLY VAUGHN plays the Million Sellers REVERIE and Songs of the South -N. Luboff Choir and many others GRINNELL BROS. 323 South Main NO 8-7312 X9 Big savings on STEREOandHI Fl Record Players 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 Notary Public M. J, Thurber - Phone NO 2-3455 )V Phone NO 2-4786 far Classified Advertisinc Room Phones Free TV '2805 E. Michigan HU 2-2204 )M3 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 HELP WANTED 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 Lessons 1955 PONTIAC Two-door sedan. Radio, heater, Hydra-Matic. $895 300 South Thayer X7 PIANOS - ORGANS Best offer Keyboard Service WURLITZER SOHMER e KIMBALL Dealer ANN ARBOR PIANO CO. 213 E. Washington, NO 3-3109 }X3 Complete line of HiFi components including Kits; complete Service on radio, phonographs and HiFi equip- ments. )G21, $10.00 plus $.08 per mile Gas, oil and insurance included I SEGOVIA METHOD GOOD SELECTION "Cheapies!" I I I 340 Maynard NO 8-7515 J47 Eddie's Paint Store White paint ........ $1.98 per gal. Colors ........... $2.48 per gal. 117 E. Ann NO 8-6966 )J15 1959's loveliest figures will be molded by the Famous - Fabulous - Figure Control Girdles, now on sale during March by Playtex from the DILLON SHOPS. Elizabeth Dillon Shop 1111ES. University 530 S. Forest J45 ONE-DAY SERVICE and COMPLETE SERVICE at SANFORDS . Shoe Repairing Hat Cleaning Tailoring Pressing Shoe Shining 119 East Ann Street (opposite court house) NO )-6966 )J2 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 Stylist. )J17 2500 W. STADIUM NO 2-3221 )X2 NEW LP SPECIALS at the LIBERTY MUSIC SHOPS New! Bernstein and the N.Y. Philharmonic Tchaikovsky - Symphony No. 4 Regularly $4.98 - This Week $3.89 N27 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 Service. HICKEY'S SERVICE STATION Cor. Main & Catherine NO 8-7717 j S3 WHITE'S AUTO PAINT SHOP Bumping and Painting 2007 South State NO 2-33502 )S2 '(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 X5 v ee , s U r I ROOM AND BOARD 1954 NEW MOON TRAILER. 36' x8' on lot; priceed to sell; call NO 2-7534. B17 i I I ._ rf I J i ll CUCIACCCD DARVOR F'TERRR1CK Ellj lSiifS .:...... wvs. .....,. .. .. :._