Celebratio Mathematica

Andrew Mattei Gleason

Complete Bibliography

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R. E. Green­wood and A. M. Gleason: “Bi­no­mi­al iden­tit­ies,” Am. Math. Mon. 53 : 1 (January 1946), pp. 24–​27. From the “Dis­cus­sions and Notes” column of the journ­al. MR 1526364 article

A. M. Gleason: “Square roots in loc­ally Eu­c­lidean groups,” Bull. Am. Math. Soc. 55 : 4 (1949), pp. 446–​449. MR 0028841 Zbl 0041.​16002 article

A. M. Gleason: “On the struc­ture of loc­ally com­pact groups,” Proc. Natl. Acad. Sci. U.S.A. 35 : 7 (July 1949), pp. 384–​386. MR 0029910 Zbl 0033.​15105 article

A. M. Gleason: “A note on loc­ally com­pact groups,” Bull. Am. Math. Soc. 55 : 8 (1949), pp. 744–​745. MR 0030958 Zbl 0034.​30602 article

A. M. Gleason: “A note on a the­or­em of Hel­son,” Col­loq. Math. 2 (1949), pp. 5–​6. MR 0038406 Zbl 0038.​03105 article

A. M. Gleason: “Arcs in loc­ally com­pact groups,” Proc. Natl. Acad. Sci. U.S.A. 36 : 11 (November 1950), pp. 663–​667. MR 0038356 Zbl 0040.​15301 article

A. M. Gleason: “Spaces with a com­pact Lie group of trans­form­a­tions,” Proc. Am. Math. Soc. 1 : 1 (1950), pp. 35–​43. An er­rat­um for this art­icle was pub­lished in Proc. Am. Math. Soc. 1:6 (1950). MR 0033830 Zbl 0041.​36207 article

A. M. Gleason: “Er­rat­um: ‘Spaces with a com­pact Lie group of trans­form­a­tions’,” Proc. Am. Math. Soc. 1 : 6 (1950), pp. 826. Er­rat­um for an art­icle pub­lished in Proc. Am. Math. Soc. 1:1 (1950). article

A. M. Gleason: “Com­pact sub­groups,” Proc. Natl. Acad. Sci. U.S.A. 37 : 9 (September 1951), pp. 622–​623. MR 0043102 Zbl 0043.​26401 article

A. M. Gleason: “The struc­ture of loc­ally com­pact groups,” Duke Math. J. 18 : 1 (1951), pp. 85–​104. MR 0039730 Zbl 0044.​01901 article

A. M. Gleason: “One-para­met­er sub­groups and Hil­bert’s fifth prob­lem,” pp. 451–​452 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Cam­bridge, MA, 30 Au­gust–6 Septem­ber 1950), vol. 2. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1952. MR 0043788 Zbl 0048.​25503 incollection

A. M. Gleason: “Groups without small sub­groups,” Ann. Math. (2) 56 : 2 (September 1952), pp. 193–​212. MR 0049203 Zbl 0049.​30105 article

R. E. Green­wood and A. M. Gleason: “Dis­tri­bu­tion of round-off er­rors for run­ning av­er­ages,” Pac. J. Math. 3 : 3 (May 1953), pp. 605–​611. MR 0056860 Zbl 0051.​10401 article

A. M. Gleason: “The ex­pand­ing role of math­em­at­ics,” En­sei­gne­ment Math. (2) 1 (1955), pp. 188–​191. MR 0075117 Zbl 0066.​24204 article

R. E. Green­wood and A. M. Gleason: “Com­bin­at­or­i­al re­la­tions and chro­mat­ic graphs,” Can. J. Math. 7 (1955), pp. 1–​7. MR 0067467 Zbl 0064.​17901 article

Lie al­geb­ras and Lie groups (Wa­terville, ME, 20 June–31 Ju­ly 31, 1953). Edi­ted by A. M. Gleason. Mem­oirs of the Amer­ic­an Math­em­at­ic­al So­ci­ety 14. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1955. Five pa­pers pre­pared in con­nec­tion with the first AMS Sum­mer Math­em­at­ic­al In­sti­tute. book

A. M. Gleason: “Fi­nite Fano planes,” Am. J. Math. 78 : 4 (October 1956), pp. 797–​807. MR 0082684 Zbl 0072.​38001 article

A. M. Gleason: “Meas­ures on the closed sub­spaces of a Hil­bert space,” J. Math. Mech. 6 : 4 (1957), pp. 885–​893. MR 0096113 Zbl 0078.​28803 article

A. M. Gleason and R. S. Pal­ais: “On a class of trans­form­a­tion groups,” Am. J. Math. 79 : 3 (July 1957), pp. 631–​648. MR 0089367 Zbl 0084.​03203 article

R. W. Marsh and A. M. Gleason: “A meth­od for gen­er­at­ing ir­re­du­cible poly­no­mi­als,” MAA Monthly (1957), pp. 747–​748. Prob­lem 4709. article

A. M. Gleason: “Func­tion al­geb­ras,” pp. 213–​226 in Sem­inars on ana­lyt­ic func­tions (Prin­ceton, NJ, 1958), vol. 2. 1958. Zbl 0095.​10103 incollection

A. M. Gleason: “A met­ric for the space of func­tion ele­ments,” Am. Math. Mon. 65 : 10 (December 1958), pp. 756–​758. From the “Math­em­at­ic­al Notes” column of the journ­al. MR 0100663 Zbl 0083.​06303 article

A. M. Gleason: “Pro­ject­ive to­po­lo­gic­al spaces,” Ill. J. Math. 2 : 4A (December 1958), pp. 482–​489. MR 0121775 Zbl 0083.​17401 article

A. M. Gleason: “A search prob­lem in the \( n \)-cube,” pp. 175–​178 in Com­bin­at­or­i­al ana­lys­is (Columbia Uni­versity, New York, 24–26 April 1958). Edi­ted by R. Bell­man and M. Hall, Jr. Pro­ceed­ings of Sym­po­sia in Ap­plied Math­em­at­ics 10. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1960. MR 0114323 Zbl 0096.​14605 incollection

A. M. Gleason: “Un­der­gradu­ate train­ing for gradu­ate study,” Am. Math. Mon. 68 : 9 (November 1961), pp. 923–​925. From the “Math­em­at­ic­al edu­ca­tion notes” column of the journ­al. MR 1531434 article

A. M. Gleason: Fac­tor­iz­a­tion of poly­no­mi­als over fi­nite fields with par­tic­u­lar ref­er­ence to the cyc­lo­tom­ic poly­no­mi­als. Typescript pre­print, 1961. techreport

A. M. Gleason and H. Whit­ney: “The ex­ten­sion of lin­ear func­tion­als defined on \( H^{\infty} \),” Pa­cific J. Math. 12 : 1 (1962), pp. 163–​182. Ded­ic­ated to Mar­ston Morse. MR 0142013 Zbl 0191.​15202 article

A. M. Gleason: “The ab­stract the­or­em of Cauchy–Weil,” Pac. J. Math. 12 : 2 (February 1962), pp. 511–​525. MR 0147672 Zbl 0117.​09302 article

A. M. Gleason: “On groups of homeo­morph­isms,” pp. 39–​44 in Al­geb­ra­ic­al and to­po­lo­gic­al found­a­tions of geo­metry (Utrecht, Au­gust 1959). Per­ga­mon (Ox­ford), 1962. MR 0149461 Zbl 0107.​02702 incollection

A. M. Gleason and R. P. Dilworth: “A gen­er­al­ized Can­tor the­or­em,” Proc. Am. Math. Soc. 13 : 5 (1962), pp. 704–​705. MR 0144824 Zbl 0109.​24203 article

A. M. Gleason: “Find­ing the max­im­um of a con­tinu­ous func­tion,” pp. 198–​202 in Pro­ceed­ings of a Har­vard sym­posi­um on di­git­al com­puters and their ap­plic­a­tions (Cam­bridge, MA, 3–6 April 1961). Edi­ted by A. G. Oet­tinger. An­nals of the Com­pu­ta­tion Labor­at­ory of Har­vard Uni­versity 31. Har­vard Uni­versity Press (Cam­bridge, MA), 1962. MR 0221739 Zbl 0137.​03605 incollection

A. M. Gleason: “Uni­ver­sal loc­ally con­nec­ted re­fine­ments,” Ill. J. Math. 7 : 3 (1963), pp. 521–​531. MR 0164315 Zbl 0117.​16101 article

A. M. Gleason: “The Cauchy–Weil the­or­em,” J. Math. Mech. 12 : 3 (1963), pp. 429–​444. MR 0148938 Zbl 0122.​32002 article

A. M. Gleason: “Fi­nitely gen­er­ated ideals in Banach al­geb­ras,” J. Math. Mech. 13 : 1 (1964), pp. 125–​132. MR 0159241 Zbl 0117.​34105 article

A. M. Gleason: “Evol­u­tion of an act­ive math­em­at­ic­al the­ory,” Sci­ence 145 : 3631 (July 1964), pp. 451–​457. article

A. M. Gleason: “Evol­u­tion of an act­ive math­em­at­ic­al the­ory,” Sci­ence 31 (1964), pp. 451–​457. article

A. M. Gleason: “The defin­i­tion of a quad­rat­ic form,” Am. Math. Mon. 73 : 10 (December 1966), pp. 1049–​1056. Re­prin­ted in Se­lec­ted pa­pers on al­gebra (1977). MR 0207728 Zbl 0144.​02003 article

A. M. Gleason: Fun­da­ment­als of ab­stract ana­lys­is. Ad­dis­on-Wes­ley Series in Math­em­at­ics. Ad­dis­on-Wes­ley (Read­ing, MA), 1966. A cor­rec­ted re­print was pub­lished in 1991. MR 0202509 Zbl 0154.​04904 book

A. M. Gleason: Nim and oth­er ori­ented-graph games, 1966. 63 minute black and white film (Math­em­at­ic­al As­so­ci­ation of Amer­ica). Pro­duced by Richard G. Long and dir­ec­ted by Al­lan Hinder­stein. misc

H. S. Bear and A. M. Gleason: “A glob­al in­teg­ral rep­res­ent­a­tion for ab­stract har­mon­ic func­tions,” J. Math. Mech. 16 : 7 (1967), pp. 639–​653. MR 0210912 Zbl 0146.​37102 article

A. M. Gleason: “A char­ac­ter­iz­a­tion of max­im­al ideals,” J. Anal. Math. 19 : 1 (December 1967), pp. 171–​172. MR 0213878 Zbl 0148.​37502 article

A. M. Gleason: “The evol­u­tion of dif­fer­en­tial to­po­logy” in The math­em­at­ic­al sci­ences. Edi­ted by G. A. W. Boehm. MIT Press (Cam­bridge, MA), 1969. incollection

A. M. Gleason: “Re­marks on the van der Waer­den per­man­ent con­jec­ture,” J. Comb. The­ory 8 : 1 (January 1970), pp. 54–​64. MR 0255562 Zbl 0215.​05302 article

A. M. Gleason: “Weight poly­no­mi­als of self-dual codes and the MacWil­li­ams iden­tit­ies,” pp. 211–​215 in Act­es du Con­grès In­ter­na­tion­al des Math­ématiciens, 1970 [Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians, 1970] (Nice, 1–10 Septem­ber 1970), vol. 3. Gau­th­i­er-Vil­lars (Par­is), 1971. To Mar­shall Hall, Jr. on his six­tieth birth­day. MR 0424391 Zbl 0287.​05010 incollection

A. M. Gleason: Lin­ear ana­lys­is and cal­cu­lus. Har­vard Uni­versity lec­ture notes. 1972–1973. book

A. M. Gleason: “The defin­i­tion of a quad­rat­ic form” in Se­lec­ted pa­pers on al­gebra. Edi­ted by E. F. Beck­en­bach, S. Mont­gomery, and E. W. Ral­ston. Ray­mond W. Brink Se­lec­ted Math­em­at­ic­al Pa­pers 3. Math­em­at­ic­al As­so­ci­ation of Amer­ica (Wash­ing­ton, DC), 1977. Re­prin­ted from Am. Math. Mon. 73:10 (1966). incollection

A. M. Gleason: “A curvature for­mula,” Am. J. Math. 101 : 1 (February 1979), pp. 86–​93. MR 527827 Zbl 0423.​53002 article

E. D. Bolk­er and A. M. Gleason: “Count­ing per­muta­tions,” J. Comb. The­ory, Ser. A 29 : 2 (September 1980), pp. 236–​242. MR 583962 Zbl 0439.​05003 article

A. M. Gleason, R. E. Green­wood, and L. M. Kelly: The Wil­li­am Low­ell Put­nam Math­em­at­ic­al Com­pet­i­tion. Math­em­at­ic­al As­so­ci­ation of Amer­ica (Wash­ing­ton, DC), 1980. Prob­lems and Solu­tions: 1938–1964. MR 588757 Zbl 0444.​00006 book

A. M. Gleason: “How does one get so much in­form­a­tion from so few as­sump­tions?,” pp. 83–​89 in Sci­ence, com­puters, and the in­form­a­tion on­slaught (Los Alam­os, NM, June 1981). Edi­ted by D. M. Kerr, K. Braith­waite, N. Met­ro­pol­is, D. H. Sharp, and G.-C. Rota. Aca­dem­ic Press (Or­lando, FL), 1984. MR 763872 incollection

A. M. Gleason, W. F. Pen­ney, and R. E. Wyllys: Ele­ment­ary course in prob­ab­il­ity for the crypt­ana­lyst, re­vised edition. Cryp­to­graph­ic Series 41. Ae­gean Park Press (La­guna Hills, CA), 1985. Un­clas­si­fied re­print of a book ori­gin­ally pub­lished in 1957 by the Na­tion­al Se­cur­ity Agency, Of­fice of Re­search and De­vel­op­ment, Math­em­at­ic­al Re­search Di­vi­sion. book

A. M. Gleason: Ele­ment­ary course in prob­ab­il­ity for the crypt­ana­lyst. Ae­gean Park Press (La­guna Hills, CA), 1985. book

Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Berke­ley, CA, 3–11 Au­gust 1986), vol. 1 and 2. Edi­ted by A. M. Gleason. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1987. MR 0934208 Zbl 0657.​00005 book

A. M. Gleason: “Angle tri­sec­tion, the hep­tagon, and the triskai­deca­gon,” Am. Math. Mon. 95 : 3 (1988), pp. 185–​194. Ded­ic­ated to Dav­id Ver­non Wid­der on his 90th birth­day. Ad­denda to this art­icle were pub­lished in Am. Math. Mon. 95:10 (1988). MR 935432 Zbl 0661.​51013 article

A. M. Gleason: “Ad­denda: ‘Angle tri­sec­tion, the hep­tagon, and the triskai­deca­gon’,” Am. Math. Mon. 95 : 10 (December 1988), pp. 911. Ad­denda to an art­icle pub­lished in Am. Math. Mon. 95:3 (1988). MR 979135 article

R. H. Bott: The to­po­lo­gic­al con­straints on ana­lys­is, 1989. 60 minute video­cas­sette. AMS-MAA Joint Lec­ture Series. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI). Gleason in­tro­duces Bott. Re­cor­ded in Provid­ence, RI, 9 Au­gust 1988. MR 1057176 Zbl 0925.​01018 misc

R. L. Gra­ham: Arith­met­ic pro­gres­sions: From Hil­bert to She­lah, 1989. 55 minute vi­de­cas­sette. AMS-MAA Joint Lec­ture Series. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI). Gleason in­tro­duces Gra­ham. Re­cor­ded in Phoenix, AZ, 13 Janu­ary 1989. MR 1056080 Zbl 0920.​05068 misc

A. M. Gleason, A. Jaffe, B. Mazur, R. H. Her­man, C. H. Clem­ens, J. Kollár, K. Gawędzki, C. Soulé, and M. Sipser: “ICM-90,” No­tices Am. Math. Soc. 37 : 9 (1990), pp. 1209–​1216. Re­port on the In­ter­na­tion­al Con­gress of Math­em­aticians held in Kyoto, 21–29 Au­gust 1990. MR 1076560 Zbl 1194.​01041 article

An­drew M. Gleason” in More math­em­at­ic­al people: Con­tem­por­ary con­ver­sa­tions. Edi­ted by D. J. Al­bers, G. L. Al­ex­an­der­son, and C. Re­id. Har­court Brace Jovan­ovich (San Diego), 1990. incollection

A. M. Gleason: Fun­da­ment­als of ab­stract ana­lys­is, cor­rec­ted re­print edition. Jones and Bart­lett (Bo­ston, MA), 1991. The ori­gin­al edi­tion was pub­lished in 1966. MR 1140189 Zbl 0773.​00001 book

A. Gleason: “Semig­roups of shift re­gister count­ing matrices,” Math. Syst. The­ory 25 : 4 (1992), pp. 253–​267. Re­vised by Fred Koch­man and Lee Neuwirth. From notes by Richard Beals and Mi­chael Spivak. MR 1166764 Zbl 0790.​20086 article

An­drew M. Gleason: Glimpses of a life in math­em­at­ics. Edi­ted by E. Bolk­er, P. Chernoff, C. Costes, and D. Lieber­man. Privately prin­ted, 1992. book

A. M. Gleason: “On the maps im­pli­cit in the Jordan–Hölder the­or­em,” pp. 95–​106 in Semig­roup the­ory and its ap­plic­a­tions: Pro­ceed­ings of the 1994 con­fer­ence com­mem­or­at­ing the work of Al­fred H. Clif­ford (New Or­leans, LA, 28–30 March 1994). Edi­ted by K. H. Hof­mann and M. W. Mis­love. Lon­don Math­em­at­ic­al So­ci­ety Lec­ture Note Series 231. Cam­bridge Uni­versity Press, 1996. MR 1430815 Zbl 0905.​20018 incollection

H. O. Pol­lak: “Yueh-Gin Gung and Dr. Charles Y. Hu Award for Dis­tin­guished Ser­vice to An­drew Gleason,” Amer. Math. Mon. 103 : 2 (1996), pp. 105–​106. MR 1375055 Zbl 0845.​01014 article

W. G. Mc­Cal­lum, D. Hughes-Hal­lett, A. M. Gleason, D. Flath, S. P. Gor­don, D. Mum­ford, B. G. Os­good, D. Quin­ney, W. Ras­kind, J. Te­cosky-Feld­man, J. B. Thrash, and T. W. Tuck­er: Mul­tivari­able cal­cu­lus. Wiley (New York), 1997. A later edi­tion was pub­lished in 1998. Zbl 0892.​26002 book

D. Hughes-Hal­lett, A. M. Gleason, W. G. Mc­Cal­lum, D. E. Flath, P. F. Lock, S. P. Gor­don, D. O. Lo­men, D. Love­lock, D. Mum­ford, B. G. Os­good, A. Pasquale, D. Quin­ney, J. Te­cosky-Feld­man, J. B. Thrash, K. R. Thrash, and T. W. Tuck­er: Cal­cu­lus, 2nd edition. Wiley (New York), 1998. A later edi­tion was pub­lished in 2013. Zbl 0913.​26003 book

W. G. Mc­Cal­lum, D. Flath, A. M. Gleason, S. P. Gor­don, D. Mum­ford, B. G. Os­good, D. Hughes-Hal­lett, D. Quin­ney, W. Ras­kind, J. Te­cosky-Feld­man, J. B. Thrash, and T. W. Tuck­er: Mul­tivari­able cal­cu­lus, In­ter­na­tion­al edition. Wiley (New York), 1998. With the as­sist­ance of Ad­ri­an Ioviţă. An earli­er edi­tion was pub­lished in 1997. Zbl 0913.​26004 book

D. Hughes-Hal­lett, A. M. Gleason, D. E. Flath, P. F. Lock, S. P. Gor­don, D. O. Lo­men, D. Love­lock, W. G. Mc­Cal­lum, D. Quin­ney, B. G. Os­good, A. Pasquale, J. Te­cosky-Feld­man, J. B. Thrash, T. W. Tuck­er, and K. R. Thrash: Cal­cu­lus: Single vari­able, 2nd edition. Wiley (New York), 1998. This was re­pro­duced as part of a lar­ger work pub­lished in 2013. Zbl 0892.​26001 book

A. M. Gleason: “Yueh-Gin Gung and Dr. Charles Y. Hu Award for Dis­tin­guished Ser­vice to Paul R. Hal­mos,” Am. Math. Mon. 107 : 3 (March 2000), pp. 193–​194. MR 1742118 Zbl 0977.​01029 article

E. Con­nally, A. M. Gleason, P. Cheifetz, K. Rhea, C. Swen­son, D. Hughes-Hal­lett, F. Aven­oso, A. Pasquale, P. Shure, K. Yoshi­wara, and A. Dav­idi­an: Func­tions mod­el­ing change: A pre­par­a­tion for cal­cu­lus. John Wiley & Sons (New York), 2000. A stu­dent study guide for this text­book was pub­lished in 2013. Zbl 0945.​00001 book

W. G. Mc­Cal­lum, E. Con­nally, and D. Hughes-Hal­lett: Al­gebra: Form and func­tion, draft second edition. Wiley (Hoboken, NJ), 2007. With the as­sist­ance of An­drew Gleason. book

C. Cas­tello: “An­drew Gleason: Helped solve vex­ing geo­metry prob­lem,” Bo­ston Globe (20 October 2008). article

E. D. Bolk­er, R. Pal­ais, J. B. Gleason, D. Hughes-Hal­lett, T. C. Stevens, J. Te­cosky-Feld­man, T. Tuck­er, P. R. Chernoff, J. J. Spen­cer, J. Wer­mer, J. Bur­roughs, D. Lieber­man, J. Reeds, L. Bar­rett, and L. Dun­ton-Down­er: “An­drew M. Gleason 1921–2008,” No­tices Am. Math. Soc. 56 : 10 (November 2009), pp. 1236–​1267. Bolk­er was the co­ordin­at­ing ed­it­or for this col­lec­tion of trib­utes. MR 2572754 Zbl 1178.​01040 article

B. Mazur, B. Gross, and D. Mum­ford: “An­drew Gleason, 4 Novem­ber 1921–17 Oc­to­ber 2008,” Proc. Am. Phil. Soc. 154 : 4 (December 2010), pp. 471–​476. A slightly ex­pan­ded ver­sion of the ob­it­u­ary pub­lished in the Har­vard Uni­versity Gaz­ette (1 April 2010). article

E. Con­nally, D. Hughes-Hal­lett, A. M. Gleason, P. Cheifetz, A. Dav­idi­an, D. E. Flath, S. Kalay­ciôu­glu, B. Lahme, P. F. Lock, W. G. Mc­Cal­lum, J. Mor­ris, K. R. Rhea, E. Schmier­er, P. Shure, A. H. Spie­g­ler, C. Swen­son, E. J. Marks, F. Aven­oso, D. Quin­ney, and K. Yoshi­wara: Func­tions mod­el­ing change: A pre­par­a­tion for cal­cu­lus: Stu­dent study guide. John Wiley & Sons (Hoboken, NJ), 2013. Stu­dent study guide for Func­tions mod­el­ing change: A pre­par­a­tion for cal­cu­lus (2000). Zbl pre06189302 book

W. G. Mc­Cal­lum, D. Hughes-Hal­lett, A. M. Gleason, S. Kalay­ciô­glu, B. Lahme, P. F. Lock, G. I. Loz­ano, J. Mor­ris, D. Mum­ford, B. G. Os­good, C. L. Pat­ter­son, D. Quin­ney, A. H. Spie­g­ler, J. Te­cosky-Feld­man, and T. W. Tuck­er: Cal­cu­lus, 6th, re­vised edition. Wiley (New York, NY), 2013. In­ter­na­tion­al stu­dent edi­tion. Earli­er edi­tions were pub­lished in 1998 and, un­der a dif­fer­ent title, in 1997 and 1998. Zbl 1266.​26002 book