Hale Freeman Trotter
Bibliography
-
A property of Brownian motion paths, Illinois Journal of Mathematics,
2 (1958), 424-433.
-
Approximation of semi-groups of operators, Pacific Journal of Mathematics,
8 (1958), 887-919.
-
An elementary proof of the central limit theorem, Archiv der Mathematik,
10
(1959), 226-234.
-
On the product of semi-group of operators, Proceedings of the American
Mathematical Society, 10 (1959), 545-551.
-
A canonical basis for nilpotent transformations, American Mathematical
Monthly, 68 (1961), 779-780.
-
Periodic automorphisms of groups and knots, Duke Mathematical Journal,
28
(1961), 553-558.
-
PERM (permutation generator, Algorithm 115, Communications of Association
for Computing Machinery, 5 (1962), 434.
-
Homology of group systems with applications to knot theory, Annals
of Mathematics, 76 (1962), 464-498.
-
(with R.H. Crowell) A class of pretzel knots, Duke Mathematical
Journal, 30 (1963), 373-378.`
-
Non-invertible knots exist, Topology, 2 (1963), 272-280.
-
Machine program for coset enumeration, Canadian Mathematical Journal,
7
(1964), 357-368.
-
(with S. Goldfeld and R. Quandt) Maximization by quadratic hill-climbing,
Princeton University Econometric Research Program Research Memorandum,
No. 72.
-
Discrete approximations of continuous Markov processes (Proceedings
of the IBM Scientific Computing Symposium on Large Scale Problems, December
1963), 37-42.
-
Groups in which raising to a power is an automorphism, Canadian
Mathematical Bulletin, 8(1965), 825-827.
-
A program for the Coxeter-Todd algorithm for the enumeration of cosets
in groups, Mathematical Algorithms, 1, No. 3 (1966), 12-28.
-
Use of computers in pure mathematics, Canadian Mathematical Bulletin,
9
(1966), 751-755.
-
(with R.H. Crowell and R.E. Williamson) Calculus of Vector Functions,
second edition, Prentice-hall, 1967.
-
(with S.M. Goldfeld and R.E. Quandt) Maximization by quadratic hill-climbing,
Econometrica, 34 (1966), 541-551.
-
Computations in knot theory, in Computational Problems in Abstract
Algebra, edited by J. Leech, Pergamon, 1969, 359-364.
-
On the norms of units in quadratic fields, Proceedings of the American
Mathematical Society, 22 (1969), 198-201.
-
On the algebraic classification of Seifert matrices, Proceedings
of the Georgia Topology Conference (1970), 92-103.
-
(with E.G. Coffmann and R.R. Muntz) Waiting time distributions for processor-sharing
systems, Journal of Association for Computing Machinery, 17
(1970), 123-130.
-
(with R.H. Crowell and R.E. Williamson) Calculus of Vector Functions,
third edition, Prentice-Hall, 1972.
-
(with S. Lang) Continued fractions for some algebraic numbers, Journal
f\"{u}r die reine und angewandte Mathematik, {\bf 255} (1972), 112-134;
Addendum, ibid., 267 (1974), 219-220.
-
On $S$-equivalence of Seifert matrices, Inventiones Mathematicae,
20
(1973), 173-207.
-
(with R.E. Williamson) Multivariable Mathematics, Second Edition, Prentice-Hall,
1979.
-
Some opinions on programming languages, Canberra Computer
Bulletin, 6 (1974), No. 3A, 4-11.
-
Torsion-free metabelian groups with infinite cyclic quotient groups,
(Proceedings of the Second International Conference on Theory of Groups)
Lecture Notes in Mathematics, 372, Springer, 1974, 655-666.
-
Approximation and perturbation of semi-groups, in Linear operators
and approximation II, edited by P.L. Butzer and B. Sz.-Nagy, Basel: Birkhauser,
1974, 3-21.
-
(with S. Lang) Frobenius distributions in $GL_2$ extensions, Lecture
Notes in Mathematics, 504, Springer, 1976.
-
(with S. Lang) Primitive points on elliptic curves, Bulletin of
the American Mathematical Society, 83 (1977), 289-292.
-
Knot modules and Seifert matrices, Knot Theory (Proceedings of Conference
lanssur-Bex, 1977), edited by J.C. Hausman, Lecure Notes in Mathematics,
685,
Springer, 1978, 291-299.
-
Algebraic numbers and polynomial factorization, Notes for American
Mathematical Society short course on computer algebra and symbolic mathematical
computation, August 1980, 29 pages.
-
Statistics of factoring polynomials mod p and p-adically, SIGSAM
Bulletin, (Special interest group for symbolic and algebraic manipulation,
Association for Computing Machinery), 16, Number 3 (1982), 24-29.
-
Eigenvalue distributions of large hermitian matrices: Wigner's semi-circle
law and a theorem of Kac, Murdock, and Szego, Advances in Mathematics,
54
(1984), 67-82.
-
Comment on ``The Central Limit Theorem around 1935'' by L. LeCam
Statistical Science, 1 (1986), 92-93.
-
An overlooked example of non-unique factorization, American Mathematical
Monthly, 95 (1988), 339-342.
-
Use of symbolic methods in analyzing an integral operator, in Computers
and Mathematics, edited by E. Kaltofen and S.M. Watt, Springer, 1989, 82-90.
-
Review of A course in Computational Number Theory by H. Cohen, Bulletin
American Mathematical Society, Vol 31 (1994), 312-318.
-
(with R.E. Williamson) Multivariable Mathematics, Third Edition,
Prentice-Hall, 1995.
Nothing New - May 1, 2002/gpp.