Celebratio Mathematica

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 possible attack on the fifth problem of Hilbert is to demonstrate the existence of one-parameter subgroups in any locally Euclidean group. It is known that, provided there are no “small” subgroups, some one-parameter subgroups exist. One would like to prove, however, that in a suitable neighborhood of the identity, every elementis on one and only one one-parameter subgroup. If this is true, it is possible to extract square roots (that is, solve \( x^2 = a \) for given \( a \)) uniquely in this neighborhood, and the sequence of successive square roots \( a \), \( a^{1/2} \), \( (a^{1/2}){}^{1/2},\dots \) converges to the identity. Conversely, it is easily seen that, if unique square roots exist, and if the sequence of square roots converge to the identity, then the one-parameter subgroups can be found. In this paper we give a new proof that square roots exist in a suitable neighborhood of the identity and show, in addition, that either they are unique or small subgroups exist.

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 topological group \( \mathfrak{G} \) is said to act on a topological space \( \mathcal{R} \) if the elements of \( \mathfrak{G} \) are homeomorphisms of \( \mathcal{R} \) onto itself and if the mapping \( (\sigma,p)\to \sigma(p) \) of \( \mathfrak{G} \times \mathcal{R} \) onto \( \mathcal{R} \) is continuous. Familiar examples include the rotation group acting on the Cartesian plane and the Euclidean group acting on Euclidean space. The set \( \mathcal{R}(p) \) (that is, the set of all \( \sigma(p) \) where \( \sigma\in\mathfrak{G} \)) is called the orbit of \( p \). If \( p \) and \( q \) are two points of \( \mathcal{R} \), then \( \mathfrak{G}(p) \) and \( \mathfrak{G}(q) \) are either identical or disjoint, hence \( \mathcal{R} \) is partitioned by the orbits. The topological structure of the partition becomes an interesting question. In the case of the rotations of the Cartesian plane we find that, excising the singularity at the origin, the remainder of space is fibered as a direct product. A similar result is easily established for a compact Lie group acting analytically on an analytic manifold. In this paper we make use of Haar measure to extend this result to the case of a compact Lie group acting on any completely regular space.

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

In his investigations of the mathematical foundations of quantum mechanics, Mackey [1957] has proposed the following problem: Determine all measures on the closed subspaces of a Hilbert space. A measure on the closed subspaces means a function \( \mu \) which assigns to every closed subspace a non-negative real number such that if \( \{A_i\} \) is a countable collection of mutually orthogonal subspaces having closed linear span \( B \), then \[ \mu(B) = \sum\mu(A_i). \] It is easy to see that such a measure can be obtained by selecting a vector \( v \) and, for each closed subspace \( A \), taking \( \mu(A) \) as the square of the norm of the projection of \( v \) on \( A \). Positive linear combinations of such measures lead to more examples and, passing to the limit, one finds that, for every positive semidefinite self-adjoint operator \( T \) of the trace class, \[ \mu(A) = \operatorname{trace}(TP_A), \] where \( P_A \) denotes the orthogonal projection on \( A \), defines a measure on the closed subspaces. It is the purpose of this paper to show that, in a separable Hilbert space of dimension at least three, whether real or complex, every measure on the closed subspaces is derived in this fashion.

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

Suppose we have given a category of topological spaces and continuous maps. Let \( X \), \( Y \), and \( Z \) be admissible spaces and \( \phi \) and \( f \) admissible maps of \( X \) into \( Z \) and \( Y \) into \( Z \) respectively. A natural question is whether or not there exists an admissible map \( \psi \) of \( X \) into \( Y \) such that \( \phi = f\circ \psi \). One can hardly expect to answer such a question without explicit knowledge of all the data, but it may happen that, for certain spaces \( X \), the answer is always yes provided \( f \) satisfies the minimum condition of mappying \( Y \) onto \( Z \). Discrete spaces are examples in the category of all spaces and continuous maps. Following the terminology of homological algebra, we shall call such a space projective. In this paper we will determine the projective spaces in the category of compact spaces and continuous maps and discuss the notion of projective resolution for these spaces.

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

Marshall Hall, Jr.	Related
Richard Ernest Bellman	Related

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

We consider the Banach space \( L^{\infty} \) of (classes of) bounded measurable complex functions on the unit circle \( \Gamma_1 \). It has a subspace \( H = H^{\infty} \) consisting of those functions \( h \) which are the boundary value functions (existing almost everywhere by Fatou’s theorem) of bounded analytic functions \( \hat{h} \) in the interior \( S_1 \) of \( \Gamma_1 \). By the Hahn–Banach theorem, any bounded linear functional \( \varphi \) defined on \( H^{\infty} \) can be extended over \( L^{\infty} \) with no increase in norm. It is the primary purpose of this paper to prove that this extension is unique, provided that \( \varphi \) is defined (over \( H \)) by an integral with kernel in \( L^1 \). Without this hypothesis, uniqueness may fail.

Hassler Whitney	Related	Volume
Harold Calvin Marston Morse	Related

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

Of fundamental importance in the theory of several complex variables is an integral representatin formula similar to the familiar Cauchy formula in the complex plane. Various such formulas have been given by Bergmann [1934a, 1934b], Weil [1935], Hervé [1952], Arens [1956], and the author [1962]. Of these the form sketched by Weil is the most elegant, but there are some difficulties with his proof. The object of this paper is to prove an integral formula from which Weil’s follows immediately whenever the triangulation assumption of his proof is valid. Aren’s form of the theorem, in which the topological difficulties are obviated by allowing the path of integration to stray from the boundary of the region, is also an easy corollary of the present result.

A. M. Gleason: “Finitely generated ideals in Banach algebras,” J. Math. Mech. 13 : 1 (1964), pp. 125–132. MR 0159241 Zbl 0117.34105 article

Let \( A \) be a Banach algebra. There are two senses in which we may say that \( A \) is finitely generated. It may be that there is a finite set \( F \) in \( A \) such that \( A \) is the least subalgebra containing \( F \). Or it may be that \( A \) is the least closed subalgebra containing \( F \). The former situation occurs only when \( A \) is finite-dimensional; the latter characterizes algebras obtained by completing a polynomial algebra in a finite number of variables with respect to a pseudo-norm.

Similarly, and ideal \( I \) of \( A \) may be finitely generated in two senses; it may be the least ideal containing a certain finite set \( F \) or it may be the least closed ideal containing \( F \). Again the former situation, which we may call algebraically finitely generated, is rare, and the latter, or topologically finitely generated, case is common. However, algebraically finitely generated ideals are not trivial. This paper is devoted to showing that an algebraically finitely generated, maximal ideal is surrounded in the maximal ideal space by ideals of the same type and that these ideals form, in a natural way, an analytic variety.

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

Edwin Ford Beckenbach	Related
Susan Montgomery	Related
Elizabeth W. Ralston	Related

A. M. Gleason: “A curvature formula,” Am. J. Math. 101 : 1 (February 1979), pp. 86–93. MR 527827 Zbl 0423.53002 article

Let \( A \) be a smooth curve of finite length \( L(A) \). For each \( n \) let \( P_n \) be the longest polygon of not more than \( n \) sides that is inscribed in \( A \). Then \[ L(A)-L(P_n) \to 0 ,\] and the question naturally arises, how fast?

For a circular arc of length \( L \) and radius \( R \) one easily finds that \[ \lim_{n\to\infty} n^2(L(A)-L(P_n)) = L^3/24R^2. \] Considering that any smooth arc of finite length can be well approximated by a finite sequence of circular arcs, it seems natural to conjecture that \[ \lim n^2(L(A)-L(P_n)) \] always exists and is some sort of integral of the curvature. In this paper we shall prove the following theorem.

Let \( A \) be a curve in euclidean space (possibly of infinite dimension) of class \( C^2 \) and length \( L \). FOr each positive integer \( n \), let \( P_n \) be the longest polygon of \( n \) edges properly inscribed in \( A \). Then \[ \lim n^2(L-L(P_n)) = \frac{1}{24}\left(\int_A \kappa^{2/3} ds\right)^3. \]

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

Robert Ewing Greenwood, Jr.	Related
Leroy Milton Kelly	Related

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

Gian-Carlo Rota	Related
Donald M. Kerr	Related
N. Metropolis	Related
Karl Braithwaite	Related
David H. Sharp	Related

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

Walter F. Penney	Related
Ronald E. Wyllys	Related

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

Saharon Shelah	Related
David Hilbert	Related
Ronald Lewis Graham	Related

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

János Kollár	Related
Arthur Jaffe	Related
Barry C. Mazur	Related
C. Herbert Clemens	Related
Krzysztof Gawędzki	Related
Richard Howard Herman	Related
Michael Fredric Sipser	Related
Christophe Soulé	Related

“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

Donald J. Albers	Related
Gerald Lee Alexanderson	Related
Constance Reid	Related

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

Fred Kochman	Related
Richard William Beals	Related
Lee Paul Neuwirth	Related
Michael D. Spivak	Related

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

Paul Robert Chernoff	Related
Constantine Costes	Related
David Ira Lieberman	Related
Ethan Bolker	Related

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

Michael William Mislove	Related
Karl Heinrich Hofmann	Related
Alfred Hoblitzelle Clifford	Related

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

Jeff Tecosky-Feldman	Related
Joe Barham Thrash, Jr.	Related
Thomas William Tucker	Related
Wayne Mark Raskind	Related
Brad G. Osgood	Related
David Bryant Mumford	Related
William Gordon McCallum	Related
Daniel Evans Flath	Related
Douglas Quinney	Related
Sheldon P. Gordon	Related
Deborah Hughes-Hallett	Related

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

Jeff Tecosky-Feldman	Related
Joe Barham Thrash, Jr.	Related
Karen R. Thrash	Related
Thomas William Tucker	Related
Patricia Frazer Lock	Related
David Orlando Lomen	Related
David Lovelock	Related
Brad G. Osgood	Related
Andrew Pasquale	Related
David Bryant Mumford	Related
William Gordon McCallum	Related
Daniel Evans Flath	Related
Douglas Quinney	Related
Sheldon P. Gordon	Related
Deborah Hughes-Hallett	Related

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

Jeff Tecosky-Feldman	Related
Joe Barham Thrash, Jr.	Related
Thomas William Tucker	Related
Wayne Mark Raskind	Related
Brad G. Osgood	Related
David Bryant Mumford	Related
William Gordon McCallum	Related
Daniel Evans Flath	Related
Douglas Quinney	Related
Sheldon P. Gordon	Related
Deborah Hughes-Hallett	Related
Adrian Ioviţă	Related

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

Jeff Tecosky-Feldman	Related
Joe Barham Thrash, Jr.	Related
Karen R. Thrash	Related
Thomas William Tucker	Related
Patricia Frazer Lock	Related
David Orlando Lomen	Related
David Lovelock	Related
Brad G. Osgood	Related
Andrew Pasquale	Related
William Gordon McCallum	Related
Daniel Evans Flath	Related
Douglas Quinney	Related
Sheldon P. Gordon	Related
Deborah Hughes-Hallett	Related

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

Carl Evan Swenson	Related
Frank Avenoso	Related
Katherine Yoshiwara	Related
Philip Cheifetz	Related
Andrew Pasquale	Related
Eric Connally	Related
Ann Davidian	Related
Karen R. Rhea	Related
Patricia D. Shure	Related
Deborah Hughes-Hallett	Related

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

Eric Connally	Related
Deborah Hughes-Hallett	Related
William Gordon McCallum	Related

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

Terrie Christine Stevens	Related
Jeff Tecosky-Feldman	Related
David Ira Lieberman	Related
Thomas William Tucker	Related
Lida Baker Kittrell Barrett	Related
John Edward Burroughs	Related
Ethan Bolker	Related
Paul Robert Chernoff	Related
James Alexander Reeds, III	Related
Richard Sheldon Palais	Related	Volume
Leslie Dunton-Downer	Related
Jean Berko Gleason	Related
Deborah Hughes-Hallett	Related
John Wermer	Related
Joel J. Spencer	Related

@article {key2572754m,
	AUTHOR = {Bolker, Ethan D. and Palais, Richard
		 and Gleason, Jean Berko and Hughes-Hallett,
		 Deborah and Stevens, T. Christine and
		 Tecosky-Feldman, Jeff and Tucker, Thomas
		 and Chernoff, Paul R. and Spencer, Joel
		 J. and Wermer, John and Burroughs, John
		 and Lieberman, David and Reeds, Jim
		 and Barrett, Lida and Dunton-Downer,
		 Leslie},
	TITLE = {Andrew M. Gleason 1921--2008},
	JOURNAL = {Notices Am. Math. Soc.},
	FJOURNAL = {Notices of the American Mathematical
		 Society},
	VOLUME = {56},
	NUMBER = {10},
	MONTH = {November},
	YEAR = {2009},
	PAGES = {1236--1267},
	URL = {http://www.ams.org/notices/200910/rtx091001236p.pdf},
	NOTE = {Bolker was the coordinating editor for
		 this collection of tributes. MR:2572754.
		 Zbl:1178.01040.},
}

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

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@book {keypre06189302z,
	AUTHOR = {Connally, Eric and Hughes-Hallett, Deborah
		 and Gleason, Andrew M. and Cheifetz,
		 Philip and Davidian, Ann and Flath,
		 Daniel E. and Kalayci\^ouglu, Selin
		 and Lahme, Brigitte and Lock, Patti
		 Frazer and McCallum, William G. and
		 Morris, Jerry and Rhea, Karen R. and
		 Schmierer, Ellen and Shure, Pat and
		 Spiegler, Adam H. and Swenson, Carl
		 and Marks, Elliot J. and Avenoso, Frank
		 and Quinney, Douglas and Yoshiwara,
		 Katherine},
	TITLE = {Functions modeling change: {A} preparation
		 for calculus: {S}tudent study guide},
	PUBLISHER = {John Wiley \& Sons},
	ADDRESS = {Hoboken, NJ},
	YEAR = {2013},
	NOTE = {Student study guide for \textit{Functions
		 modeling change: A preparation for calculus}
		 (2000). Zbl:pre06189302.},
	ISBN = {9781118104989},
}

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

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Andrew Mattei Gleason

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