Department Of Mathematics Newsletter MATHEMATICS
Department of Mathematics NewsletterCongratulations to our Largest Graduating Class in Recent History!WE ARE PLEASED TO CONGRATULATE THEAaron Wiechmann, who was advised bygraduate degree recipients from our largestgraduating class in recent history. Thefollowing students received Ph.D. degrees in May 2007.Rachel Roberts and has turned down severalacademic positions and expects to work forthe U.S. government.Amei, who was advised by Stanely SawyerThe following students received Ph.D. degrees in Augustand has accepted a tenure track job at theUniversity of Nevada, Las Vegas.2007.Benjamin Braun, who was advised byJohn Shareshian and has accepted a tenuretrack job at the University of Kentucky.Jeff Blanchard, who was advised byGuido Weiss and Ed Wilson and hasaccepted a postdoctoral position at theUniversity of Utah.Lina Lee, who was advised by SteveGreg Knese, who was advised by JohnKrantz and has accepted a postdoctoralposition at the University of Michigan.McCarthy and has accepted a postdoctoralposition at the University of California,Irvine.Bo Zhao, who was advised by NikPaul Koester, who was advised byWeaver and expects to work in thefinancial industry.Richard Rochberg and has accepted apostdoctoral position at Indiana University.We congratulate all of these fine students and wish themthe best of luck in their future endeavors.Sooraj Kuttykrishnan, who was advisedby David Wright and has accepted apostdoctoral position at WashingtonUniversity’s Medical School.Kimberly Randle, who was advised byJohn Shareshian and has accepted aposition with Citigroup in St. Louis.Prasada Vegulla, who was advised byJohn McCarthy and has accepted apostdoctoral position at Ben GurionUniversity of the Negev in Israel.By SaraOUR MATHEMATICS PROFESSORS, GRADUATEstudents, staff and friends had a taste of Iranian newyear festivities, Norouz, this spring which was hostedby the Iranian Student Association. There was poetryreading, dancing, food, and more. Iranians celebratetheir new year on spring equinox (the first day ofspring - 20 or 21 of March) allowing spring to colorthe celebration. We observe the new year by visitingfamily and friends and exchanging gifts.(Please see "Sara" continued on page 12)FALL 2007MATHEMATICS
DepartmentofofMathematicsMathematics NewsletterNewsletter FallDepartmentFall20072007IN THISISSUECover.2007 Graduates.By SaraLetter from the Chair.3In Memorium.4FACULTY SPOTdidn't know too much about her. But even in my limited encounters, I couldsee that she was very conscientious about her work.Baili MinWhat's not to like about someone with seven consecutive consonants in theirlast name? I seriously loved the weekly death threats to anyone who gaveout the code to the library door or took a book from the library withoutchecking it out."Joe BohanonShe has always been very much admired by me -- an ideal librarian for ourdepartment and a friend to all of us. She was always very helpful on anyquestion I might have in finding books and articles, dealing with the libraryand its computer programs, both the Math Library and Olin, very good atgetting things we needed. It is going to be hard to get used to anyone elseafter all these years of her devoted service to all of us. I wish her a very2007-2008 Faculty.5Chauvenet Lecturers.5,6Visit to Israel.6Sir Atiyah Visit.7Applied Harmonic Analysis.8Pi Day.9happy retirement!MATHEMATICS AROUND THE WORLD.10-11references. When I had trouble about an overdue book she would fix it. IGRADUATE NEWScouldn't imagine a more proactive or accommodating librarian.Recruitment.15Fall 2007 Graduate Students.15New Students.16ALUMNI NEWS .16-17Bill BoothbyI am very fond of Barbara. Here are some memories: Barbara alwayswanted to help. She gave special tutorials to my writing class. She created"complete works" binders for the faculty. She was terrific at finding obscureSteven KrantzI agree entirely with Steve's comments.Guido WeissSteve said it well. I'm in total accord. The only thing to add is that when weMATH KIDSdecided during my time as chair to move the library from the old locationFear Math Homework!.18(now 115) to the present one, Barbara was fantastic in designing how bestto use the new space and overseeing every aspect of the move.Ed WilsonFairwell to Barbara.19UNDERGRADUATE PAGEI will miss hearing that beautiful accent!Message from Director.22Goldwater Award.23I had some hanging plants, and when I moved apartments I brought a cou-MATH CIRCLES.24-25, 26MATH LIBRARY. 262007 ROEVER LECTURES.26Corine Kidicho-Jonesple of the plants to the department. As time went on, I didn't take care ofthem very well, and so Barbara started taking care of them, and she did until she left. Every time I would see them in the lounge, it would remind meof how nice she was.Brian MauriziCOLLOQUIUMS 2006-2007.27I would say those beautiful plants in our lounge. She was taking care ofPHOTOS.14, 20-21those so well!Thanks, Qing LiBarbara was always a very pleasant person to have around the department.Our Fondest Memories ofRetired Math Librarian BarbaraLuszczynskaShe made up two Collected Papers of'' books/binders/collections for methat I have found very useful. She was also very helpful to me about providing librarians' prospective when I was on an Advisory panel for a Biologyjournal. Her leaving has created a void in the department that will be difficult to fill.Stan SawyerIt is a pity that I've been here for only one year, so I(More on Barbara Luszczynska, please continue to "Farewell" on page 19)2
LETTER FROM THE CHAIRWus for various intervals during theacademic year.academic year. This fall weWe welcome the nine incomwelcome to our faculty Roya BeheshtiZavareh, who was hired last year but ing graduate students (8 PhD, 1 MA)who will be joining us this fall.delayed her arrival one year in orderRachel Roberts has now stepped downto take a postdoctorate position atas chair of the Graduate CommitteeMSRI. Roya received her PhD fromand Mohan Kumar has kindly agreedMIT in 2003, then fulfilled a twoto take over this very important andyear post doctorate at QueensUniversity. Her field of research is al- time-consuming position.We are stretched tight ongebraic and arithmetic geometry andteaching but continue to offer a firstshe will be teaching a two-semesterrate curriculum. This year's menu ingraduate level sequence in Algebraiccludes includes eight 500-level topicsGeometry.courses and new upper level coursesAlso joining us is our newin Bayesian Statistics (Lin), andChauvenet Lecturer, Rajan Mehta.Mathematical Biology (McCarthy).Professor Mehta received his Ph.DA notable upcoming event isfrom UC Berkeley in 2006 as a stuthe Roever Lecture, which will bedent of Alan Weinstein. His specialties are supermanifolds, Lie groupoids given by John Morgan of Columbiaand Gang Tian of MIT on Octoberand Lie algebroids, symplectic and19-20 on the topic of Perelman'sPoisson geometry, equivariant cohorecent solution to the Poincarémology, and homotopy theory. Hecomes to us off a one-year position at Conjecture.Continued thanks to ourInstituto de Matimática Pura eoffice staff: Shar Weber, Mary AnnAplicado, Brazil. We bid farewell toStenner, Sara Quigley, CorineChauvenet Jae-Hyouk Lee, whoKidicho-Jones, and Marie Taris, ascompleted the third year of hiswell as our computing managerappointment, and we wish him theSteven Xiao, and our undergraduatevery best in his career.coordinator Blake Thornton, for conStill another new face isProfessor Stefan Richter, who is visit- tinuing to go beyond the call of dutying from the University of Tennessee. in many, many ways to make ourProfessor Richter specializes in opera- department run smoothly.This spring our longtimetor theory and complex analysis. HelibrarianBarbara Luszczynska retiredwill be collaborating with Johnas our department librarian. BarbaraMcCarthy and Richard Rochberg.has been a part of our department forOther guests are expected to be withELCOME TO THE 2007-20083many years and many of us came todepend on her for all the personal favors she did for us as well as servingus so ably. We will certainly miss herand we wish her well on her retirement.We will press forward withour plans to make our department evenstronger in the next few years. Wehave an upcoming external review andthis will hopefully help to illuminateour path. There is reason to believe wehave the support of our administrationin this endeavor.And, of course, you are allinvited to the welcoming party at myhouse on Saturday evening, September8th. I look forward to seeing you allthere.David L. WrightChair, Mathematics Department
IN MEMORIAMDepartment of Mathematics Newsletter Fall 2007People Share Memories ofan Intellectual on WU fringeby Bill McClellanA STANDING-ROOM ONLY CROWD OFabout 120 gathered in a second-story loungeat Washington University on Thursday afternoon to remember BETTY WYNN. Thecrowd was mostly professors and staff. Therewere few, if any, students. I noticed that someof the men had that vaguely nonconformistlook that never goes out of fashion on collegecampuses - hair a bit shaggy, clothes slightlymismatched and so on; a look that says, "Alittle weird but not dangerous."In the corner of the lounge sat SamLachterman, Betty's brother. He had that lookto the 10th power. "Very weird, but not dangerous. Entirely too weird to make it in normal society."Sam's presence put an interesting spinon the whole thing. It was as if all these people who had opted for a respectable nonconformity were paying tribute to a couple whohad taken nonconformity to the edge and thenbeyond.Sam and Betty.For years, they have been part of thefabric of the university. A Canadian author,Robertson Davies, mentioned them in hisbook, "Happy Alchemy." He wrote that Bettywas "the campus bag lady - a learned ladywho lives with her brother, a former memberof the faculty, in a derelict car; they haunt thecampus, are at all refreshments, go to all thefree lectures and concerts and wash in the public loos. In fact, real medieval university(Please see "Betty" continued on page 8)PROFESSOR HENRY SCHAERFpassed away in Seattle on March 5th,2006, two weeks before his 99th birthday.He was one of the many scientists wholeft Europe for the United States becauseof the crises of the 1930's and 40's. Hewas on the faculty of the MathematicsDepartment of Washington UniversityHenry Schaerf, ca. 1946from 1947 to 1975.Professor Schaerf was born in Rohatyn, a small townnear Lwów, Poland (now Lviv, Ukraine). Before the SecondWorld War the University in Lwów was an important mathematical center led by Stefan Banach and Hugo Steinhaus.Professor Schaerf studied mathematics there, earning his degree in 1929. To support his family he put aside his mathematical studies and earned his Actuarial Certificate in 1931from the University of Göttingen. In the 1930's he was ChiefActuary for several life insurance companies in Poland. Afterthe German invasion of Poland in 1939 Prof. Schaerf settledin Zurich and returned to the study of mathematics. He was aLecturer and then Assistant Professor at the Swiss FederalInstitute of Technology (ETH) and received a PhD inMathematics there in 1943.In 1946 Professor Zygmunt Birnbaum, a mathematician at the University of Washington who had been a colleague of Schaerf's in Lwów, helped him obtain a facultyposition at Montana State College. The following year hejoined the faculty of Washington University and remained onthe faculty until he retired. He also held visiting positions atthe Institute for Advanced Study in Princeton, theMathematical Research Center in Madison, and McGillUniversity in Montreal.During his career Professor Schaerf made importantcontributions to Actuarial Science and to Mathematics. Afterhis retirement from academic life he remained active in civiclife. In 2003 he assisted the International Commission onHolocaust Era Insurance Claims in locating Polish insuranceand actuarial records from the 1930's.4
CHAIR AND PROFESSORFACULTY SPOTDavid WrightELINOR ANHEUSER PROFESSOR OF MATHEMATICSGuido WeissPROFESSORSAlbert Baernstein, IIQuo-Shin ChiRenato FeresRon FreiwaldGary R. JensenSteven G. KrantzRAJAN MEHTA received hisPh.D. from U.C. Berkeley,working under Alan Weinstein,and spent the last year at IMPAin Rio de Janeiro. His researchinterests include supergeometry,Poisson geometry, and mathematical physics. He enjoys playingguitar and banjo, experimental cooking, and freestyle walking.N. Mohan KumarJohn McCarthyRachel RobertsRichard RochbergStanley SawyerEdward SpitznagelNik WeaverM. Vladen WickerhauserEdward N. WilsonASSOCIATE PROFESSORSBrian BlankJack ShapiroJohn ShareshianCleon R. YoheASSISTANT PROFESSORSRoya Behesti-Zavareh*Jimin DingSTEFAN RICHTER is a professorof Mathematics at the University ofTennessee. During the academic year'07-'08 he will be on sabbatical leaveand will be a visitor in our department. Stefan was born, raised, anddid his undergraduate work in Germany. He got his Ph.D. from U.Michigan in 1986 under the supervision of Allen Shields. Hisresearch interests are operator theory, complex analysis, and theinteraction between the two areas. He has been particularly activein studying the Dirichlet and Bergman spaces on the unit disk.Stefan will be accompanied by his wife Stephanie and their threeyoung children-current ages 3, 7, and 9.Nan LinXiang TangCHAUVENET LECTURERSJoost BersonGeir Arne HjelleRajan Mehta*VISITING PROFESSORSStefan Richter*Rodrigo MontesCOORDINATOR OF LOWER DIVISION TEACHINGBlake ThorntonPROFESSORS EMERITIWilliam M. BoothbyLawrence ConlonJames A. JenkinsRobert H. McDowellA. Edward Nussbaum*New in Fall 2007Two of our faculty, PROFESSORS STEVEN KRANTZ andNAN LIN, were nominated by the Graduate Student Senate forthe Outstanding Mentoring Award. From a very strong group ofnominees, five faculty were named for Outstanding FacultyMentor Awards. Professor Krantz and Lin, along with thirty oneother faculty members, were recognized as "specialrecognition nominees" for excellence in mentoring.On Wednesday, April 18, 2007, the Eighth AnnualOutstanding Faculty Mentor Awards ceremony recognized these professors whose dedication to graduSteven Krantzate students and commitment to excellence ingraduate training have made a significant contribution to the quality of life and professional development of graduate students in Arts and Sciences atNan LinWashington University.Washington University Department of Mathematics Faculty 2007-20085
Department of Mathematics Newsletter Fall 2007CHAUVENET LECTURER JAE-HYOUK LEE SAYS:It is hard to believe a period of threeyears has passed since I came to St.Louis; a place with very unique flavor. It’s been a great time for myfamily to explore and stamp our footprints in every corner of the city.Even though we are not big fans of the red birds, wecan’t help loving this stubborn but charming city.At the end of my three years working at WashU, I feel guilty that I got a ton of benefits but returnedsmall contributions. First of all, I was very lucky toteach many interesting courses and to have brilliant students. I appreciate all my students for their passionshown in the classes. My wish was that they would enjoy classes as much as I did. I am indebted to Prof. Chiand Prof. Jensen for their showing new paths to geometry. They let me open another eye on mathematics. Ialso thank the Algebraic geometry group. It was a greatpleasure for me to join the friendly people. Of course, Iwill reserve one seat during my new work at UMSL.At last, I have a chance to express my gratitude toProf. Wright and the staff in Math department. It wasmy honor to work with these attractive people.Wash U after the sunset is my favorite picturein my heart. It would be even better with the aroma ofcoffee and the company of mathematics. Sometimes abig bunny could be my company. He looks like a hungry bunny thinking of what to eat. But alas, he is justlistening to the sounds the of day. My heart is engravedwith all these sounds from each corner of campus.It was very nice to meet you, Wash U !Visit to Israelby Professor Jack ShapiroPHYLLIS AND I HAVE JUSTreturned from our three-month stayin Israel. I was a visiting Professorat the Technion in Haifa, andPhyllis worked 25% of her job overthe Internet. We found an apartmentin Netanya which was about halfway between the Technion and theplace that our daughter and threegrandchildren live. It is also alongthe Mediterranean coast. It wasabout a 50 minute drive for me toget to the Technion, which I did approximately three times a week. Ihad no official teaching duties butthat might not have made a difference since the National UniversityStudent Union called a strike covering most of the time I was there. Noundergraduate courses were heldduring the strike, but the graduateprogram still went on and I gavetwo talks at the algebra seminar onthe connection between cyclic homology and differential forms foran associative algebra A over aunitary commutative ring k. Onepart was related to derivations,which are k-linear maps, D, fromA to M, where M is a unitary Amodule, satisfying the relationD(ab) (Da)b a(Db)) (like derivatives).After the first of thesetalks, Aryeh Juhasz, a facultymember, raised the question as towhether this could be generalizedto twisted derivations. That is,suppose we have an endomor-6The building of Faculty of Mathematicsin the Technion, Haifa, Israelphism, h, with the relation becomingD(ab) (Da)b h(a)(Db).I couldn't find this discussed in the basic cyclic homologyliterature. After some searching, Ifound that the people studying quantum groups had defined in 2003 atwisted cyclic(co) homology whichgave them some calculations on theQuantum groups that they werestudying. That started me on the(Continued on next page)
One of the most influencial mathematicians of the 20th century visits campus MarcAtkins/ panoptika.netAtiyah's career spans many decades andON FRIDAY, MAY 11, 2007covers a broad range within the field ofSir Michael Atiyah presentedMathematics. He taught at Oxford andtwo very well received andCambridge, and now is associated with theUniversity of Edinburgh. His contributionswell attended colloquiumare reflected in the numerous major awardstalks on campus. The first talk,he has been given, including the mathemattitled "The Role ofics equivalent of the Nobel Prize, called theQuaternions in Algebra,Abel Prize, awarded in 2004 with his colleague Isaac Singer at the Massachusetts Institute of Technology. Their discoveryGeometry and Physics" whichand proof of the index theorem made a significant impact throughout the manytargeted the mathematics combranches of mathematics--including topology, geometry and analysis--and providedmunity also generated great in- new links between mathematics and theoretical physics. He has also developed aterest within the physicsbranch of algebraic geometry called K theory. Atiyah was also awarded the FieldsMedal in 1966, as knighted in 1983, and received the Order of Merit in 1992.community. Free and open tothe general public, Atiyah's second talk on "Beauty and Truth in Mathematics" includednot only mathematicians, but engineers, scientists andpeople in many other academic fields."The British scholar's two talks and his briefIsraelvisit were wonderful eventsand provided a rare treatfor our department and,more generally, forWashington University"said Guido L. Weiss,Ph.D., the Elinor AnheuserProfessor of Mathematicsin Arts & Sciences. Wewere fortunate to be included in his Midwestvisit.(continued from page 6)Prof. Weiss (left) and Prof. David Wright (right) hostSir Michael Atiyah (center) before the colloquiums listed below.path of seeing if all the basic results of the relationbetween cyclic homology and differential forms wentthrough in the twisted case. I've been working on thatsince then with positive results so far, hence my tripwas really worthwhile. Another nice part of the tripwas seeing old friends, especially Jack Sonn, who visited our department and gave talks here in the past.Another is David Chillag, who also gave a talkhere in the past. Then there is Michael Cwikel, wellknown to many people in our department. The four ofus and our wives got together several times. Michaeleven made it over to the Sonns' for a traditional Fridaynight dinner one weekend when we were there. By theway, "weekend" in Israel means Saturday with Sundaybeing a regular workday. We sometimes had troubleknowing which day of the week it was. After workingfor two days our bodies felt it must be Wednesdaywhen it was really Tuesday. If you want any more information, please feel free to come and chat.The role of Quaternions in Algebra, Geometry and Physics2006 was the bicentenary of the birth ofWilliam Rown Hamilton. He made contributions tooptics and dynamics which proved fundamental forquantum theory but he himself believed that his greatestachievement was the discovery of quaternions. This isnot widely accepted, but I want to argue Hamilton's caseby showing how quaternions have influenced large andimportant parts of mathematics and physics.Beauty and Truth in MathematicsTruth in mathematics is closely related to thefamiliar notion of proof, which distinguishes mathematics from science. Beauty however is more subtle andnot usually associated with an outwardly austere subjectlike mathematics. I want to explain what mathematiciansmean by beauty and why it is so important to them. Iwill examine its relation to truth.7
Betty(Continued from page 4)hangers-on. University opinion aboutthem is understandably divided."That quote is courtesy of ElizabethMacdonald, the director of strings atthe university. As a musician, sheknew Betty well. "Betty nevermissed my concerts at WU and couldalways be counted on to tell me whatshe liked, and didn't like, aboutthem. Highly articulate, artistic,knowledgeable and opinionated, shealso had an unerring ability to tellwhen there would be food offered ata reception. ."Betty died the day afterChristmas. She was 91 years old.She was not a religious personthough she knew a lot about religionand there was no service. Insteadthere was Thursday's gathering,which was unscripted and had thecharm and problems inherent in anopen-mike service. Mary Rasp, thecoordinator of the office of academicaffairs for the George Warren BrownSchool of Social Work, did her bestto keep things moving. By the way,Betty graduated from the School ofSocial Work in 1936, and she was aregular visitor to the school. Maryliked and respected her. "She had adry wit and great intellectual curiosity," Mary said.A number of the speakersmade note of Betty's intellect and herwillingness to share her thoughts.One fellow read a poem in which hedealt with the time years ago whenSam and Betty were banned from thecampus. He described Sam and Bettyas squirrels eating food that wasmeant for the finest and rarest ofbirds, and therefore were banneduntil the birds said, "We want thesquirrels back." Which is prettymuch how it happened. The facultyaked that the ban be lifted, and itwas.For the past several years,Sam and Betty had lived in a homein Olivette. Unlikely suburbanites.One of the speakers at Thursday'smemorial was Jill Farmer, a formertelevision newswoman who livesdown the the street from their home.She said that Betty had known thatFarmer had been in the media, wasmarried to a lawyer and was achurchgoer - three strikes in Betty'smind. Still, they were friends,Farmer said.She said that when Bettywould stop by, there would alwaysbe a moment when she, Jill, wouldthink, "Oh gosh, not right now, I'mso busy," but then the visit would invariably turn out to be worthwhile,and Jill would wonder why she everhad that moment of hesitation.And now, she said, one ofher young daughters asked whetherBetty, this raggedy-looking woman,might have been some kind of angel.Jill told her daughter: Maybe.Well, who knows about any of thisstuff? Sam, who is 85, has a Ph.D.in math from Washington Universityand was an instructor at the university and then a professor at St. LouisUniversity from 1964 to 1974. Backthen, he probably looked a littleweird, but not dangerous. Then, forreasons unknown, he took that nonconformity to the edge and beyond.8It was a journey he made with hissister. On Thursday, a number ofsympathetic souls paid homage to hissister, and in so doing, to the strangejourney she made with her brother.Illinois-MissouriApplied HarmonicAnalysis SeminarON APRIL 28, 2007, THE WUSTLMathematics Department hosted thesecond meeting of the newly organized Illinois-Missouri AppliedHarmonic Analysis Seminar. Thefirst meeting of the seminar was heldon the University of IllinoisUrbana/Champaign campus inDecember 2006. Approximately 30people from 12 different institutionsattended the Saint Louis meetingwhich was organized by ProfessorsGuido Weiss and Ed Wilson.Highly successful, theIllinois and Missouri organizers haveapplied for a grant to cover the costsof future meetings. It is anticipatedthat sites for future seminars willvary throughout the Midwest region.This year's seminar program:Richard Laugesen, UIUC:"Affine synthesis onto Lp for 0 p 1"Yue Lu, UIUC,"Surfacelets: Constructions and Applications"Eric Weber, Iowa State Univ.,"The Kadison-Singer Problem and the Uncertainty Principle"Demetrio Labate, North Carolina State Univ.,"Optimally Sparse Representations using Shearlets"Brody Johnson, Saint Louis Univ.,"Stable filtering schemes for rational dilations"Open Forum Moderated by Guido Weiss, WUSTL
Happy Pi Day!by Tina Hesman SaeyIT'S IRRATIONAL. IT'S TRANSCENDENTAL. IT'Snormal. It's infinite. It never, ever repeats itself. We'retalking about the mathematical marvel that starts withthose well-known three digits: 3.14.Just don't call pi a plain number. The pi youlearned about in grade school is much more than ordinary. Mathematicians, in fact, are still learning about it.And today is the day to celebrate the magical series ofdigits. March 14 is when math classes, science centersand other devotees fete pi.Why is Pi Day on March 14? Because it's 3/14 ah, now you get it. Most celebrations involve bakingand eating pie, either fruit, custard or pizza varieties.Hazelwood West High School will test students' memories by seeing who can remember the most digits of pi.But the school district stages Pi Day mostly as a way tocelebrate math, said Cathy French, Hazelwood's mathematics coordinator. Few people even know that pi is therelationship between the circumference of a circle and itsdiameter, French said. She uses pi as a way to introduceconcepts such as infinity to students. "The numbers justkeep going on and on," French said. "That's kind of anawesome thing."Clayton High School challenges its students tocome up with creative celebrations. Last year's winners ofthe Pi Day contest wrote a rap and performed it in avideo. They got a gift certificate to a restaurant (whichthey lost), but most enjoyed basking in the glory. "Thereal thing that motivated us was the bonus points," saidJake Lewis, a senior and one of the pi rappers. Lewis andclassmates Aaron Cannon, Seth Vriezelaar and PercyOlsen made a new video this year. They'll eat all kinds ofpie and watch their entry and the competition in mathclasses today.Pi is so prevalent because it is a measurement ofthe properties of such a common shape: a circle. And thenumber has been around for eons. The Babylonians andancient Egyptians used it. In the Bible, God's instructionsto Noah about how to build the arc approximate pi,though they were closer to 3 instead of 3.14. The numberwas first referred to with its distinctive Greek letter about300 years ago.Pi Day has been around for only about 20 years.It started at the Exploratorium, a science museum in SanFrancisco, in 1988. Larry Shaw, a physicist and museumemployee, was discussing the mysteries of the universewith colleagues at a party. Pi came up in the discussion,and the staff decided to place a pi shrine in the museum.They did just that two weeks later — on March 14. Thefirst celebration involved marching around the shrine.Two years later, Shaw's daughter pointed out that Pi Dayis also Einstein's birthday. The message about Pi Dayeventually spread over the Internet.Victor Wickerhauser, a WashingtonUniversity mathematician, is still awed bypi's mysterious ways. For instance, pi iswidely held to be a normal transcendentalnumber, which means it has an even distribution of numbers — the digits zero to nineeach appear about one-tenth of the time.And because pi is a normal transcendentalnumber, everyone's phone number or SocialSecurity number should appear at somepoint in the ever-expanding decimals,Wickerhauser said.But you'll never find a customer in the 314 areacode with the first 10 digits of pi (314-159-2653) as theirphone number. The Missouri Public Service Commissiondoesn't issue numbers with exchanges starting in one orzero to avoid confusion with long-distance or operatorassisted calls.The celebration of pi kicked into high gear thispast weekend at the St. Louis Science Center. The staff isusing trivia, jokes, scavenger hunts, pizza, stickers andbuttons to tr
Department of Mathematics Newsletter Fall 2007 PROFESSOR HENRY SCHAERF passed away in Seattle on March 5th, 2006, two weeks before his 99th birthday. He was one of the many scientists who left Europe for the United States because of the crises of the 1930's and 40's. He was on the faculty of the Mathematics Department of Washington University
IBDP MATHEMATICS: ANALYSIS AND APPROACHES SYLLABUS SL 1.1 11 General SL 1.2 11 Mathematics SL 1.3 11 Mathematics SL 1.4 11 General 11 Mathematics 12 General SL 1.5 11 Mathematics SL 1.6 11 Mathematic12 Specialist SL 1.7 11 Mathematic* Not change of base SL 1.8 11 Mathematics SL 1.9 11 Mathematics AHL 1.10 11 Mathematic* only partially AHL 1.11 Not covered AHL 1.12 11 Mathematics AHL 1.13 12 .
as HSC Year courses: (in increasing order of difficulty) Mathematics General 1 (CEC), Mathematics General 2, Mathematics (‘2 Unit’), Mathematics Extension 1, and Mathematics Extension 2. Students of the two Mathematics General pathways study the preliminary course, Preliminary Mathematics General, followed by either the HSC Mathematics .
2. 3-4 Philosophy of Mathematics 1. Ontology of mathematics 2. Epistemology of mathematics 3. Axiology of mathematics 3. 5-6 The Foundation of Mathematics 1. Ontological foundation of mathematics 2. Epistemological foundation of mathematics 4. 7-8 Ideology of Mathematics Education 1. Industrial Trainer 2. Technological Pragmatics 3.
The Department of Mathematics was established in 1959 along with other engineering departments, expanded in 1984 as Dept. of Mathematics & Humanities and bifurcated in 2009 as Department of Mathematics. The Department is established as a dynamic centre for academic and research activities. The Department offers basic courses in Mathematics for .
Department of Mathematics Florida State University 208 Love Building 1017 Academic Way Tallahassee, FL 32306-4510 Phone: 850-644-2202 Fax: 850-644-4053 Web: www.math.fsu.edu DEPARTMENT OF MATHEMATICS AT FLORIDA STATE UNIVERSITY Mark Sussman. 4 May 2020 Faculty . mathematics. Mathematics. math. mathematics.".
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Engineering Graphics & Design (EGD) NOTE: Information as on 15 November 2020. ENGINEERING GRAPHICS AND DESIGN. GRADE 10 . GRADE 11; GRADE 12 . General drawing principles: Use/care/dangers of drawing instruments, line types, line work, lettering, dimensioning etc. The Grade 10 contentremains applicable. The Grade 10 contentremains applicable. Free-hand drawing. Free-hand drawing techniques. The .
