ACM Home Page
Please provide us with feedback. Feedback
George Forsythe and the development of computer science
Full text PdfPdf (836 KB)
Source
Communications of the ACM archive
Volume 15 ,  Issue 8  (August 1972) table of contents
Pages: 721 - 726  
Year of Publication: 1972
ISSN:0001-0782
Author
Donald E. Knuth  Stanford Univ., Stanford, CA
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 5,   Downloads (12 Months): 51,   Citation Count: 5
Additional Information:

references   cited by   collaborative colleagues  

Tools and Actions: Request Permissions Request Permissions    Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/361532.361538
What is a DOI?

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
A
Edward A. Feigenbaum, "A word entr'acte," Stanford University Computation Center newsletter, Autumn quarter, 1965.
 
B
Louis Fein, "The computer-related sciences (Synnoetics) at a university in the year 1975," Amer. Scientist 49 (1961), 149-168.
 
3
Dynamic Meteorology (with Jorgen Holmboe and William Gustin). John Wiley, New York, 1945, 378 pp.
 
4
Bibliography of Russian Mathematics Books. Chelsea, New York, 1956, 106 pp.
 
5
Finite-Difference Methods for Partial Differential Equations (with Wolfgang Wasow). John Wiley, New York, 1960, 444 pp. Translations into Russian ( 1963 ), Japanese (1968).
 
6
Computer Solution of Linear AIgebraic Systems (with Cleve B. Moler), Prentice-Hall, Englewood Cliffs, N.J., 1967, 153 pp. Translations into Russian (1969 ), Japanese (1969), German (1971).
 
1
Riesz summability methods of order r for R (r) < 0. Duke Math. 1.8 (1941), 346--349.
 
2
Remarks on regularity of methods of summation (with A.C. Schaeffer). Bull. Amer. Math. Soc. 48 (1942), 863-865.
 
3
Cesro summability of random variables. Duke Math. J. 10 (1943), 397-428.
 
4
Note on equivalent-potential temperature. Bull. Amer. Meteorol. Soc. 25 (1944), 149-151.
 
5
Remarks on the above paper by Neamtan. Bull. Amer. Meteorol. Soc. 25 (1944), 228-229.
 
6
Determination of absolute height and wind for aircraft operations. Hdqts. Army Air Forces Weather Div. Rep. 708, June 1944, 69 pp. {author's name omitted}.
 
7
A generalization of the thermal wind equation to arbitrary horizontal flow. Bull. Amer. Meteorol. Soc. 26 (1945), 371-375.
 
8
Universal tables for reduction of pressure to sea level. Hdqts. Army Air Forces Weather Div. Rep. 972, June 1945, 22 pp. {author's name omitted}
 
9
Aircraft weather reconnaissance (with R.B. Doremus). Hdqts. Army Air Forces Weather Service Rep. 105--128-1, Sept. 1945, 218 pp. {authors' names omitted}.
 
10
War-time developments in aircraft weather reconnaissance. Bull. Amer. Meteorol. Soc. 27 (1946), 160-163.
 
11
Discussion of E. V. Ashburn and L.L. Weiss's article on Vorticity. Trans. Amer. Geophys. Union 27 (1946), 279-282.
 
12
Maximum density-altitude in the continental United States (with Morris S. Hendrickson). Bull. Amer. Meteorol. Soc. 27 (1946), 576-579.
 
13
Speed of propagation of atmospheric waves with changing shape. J. Meteorol. 4 (1947), 67-69.
 
14
On N6rlund summability of random variables to zero. Bull. Amer. Math. Soc. 53 (1947), 302-313.
 
15
Exact particle trajectories for nonviscous flow in a plane with a constant Coriolis parameter. Y. Meteorol. 6 (1949), 337-346.
 
16
Solution of the telegrapher's equation with boundary conditions on only one characteristic. Y. Res. Natl. Bur. Stand. 44 (1950), 89-102.
 
17
Matrix inversion by a Monte Carlo method (with Richard A. Leibler). Math. Tables Aids Cornput. 4 (1950), 127-129. Correction in Math, Tables Aids Comput. 5 (1951), 55.
 
18
Gauss to Gerling on Relaxation. Math. Tables Aids Comput. 5 (1951), 255-258, (Translation, with notes, of a letter by Gauss.)
 
19
New matrix transformations for obtaining characteristic vectors (with William Feller). Quart. Appl. Math. 8 (1951), 325-331. {Presented at Proc. Int. Cong. Math., 1950.}
 
20
Second order determinants of Legendre polynomials. Duke Math. Y. 18 (1951), 361-371.
 
21
Generation and testing of random digits at the National Bureau of Standards, Los Angeles. Natl. Bur. Stand..,tppL Math. Series 12 (1951), 34-35.
 
22
Summary of John von Neumann's lecture, Various Techniques Used in Connection with Random Digits. Natl. Bur. Stand. Appl. Math. Series 12 (1951), 36-38.
 
23
Theory of selected methods of finite matrix inversion and decomposition. Inst. for Numerical Analysis Rep. 52-5, Natl. Bur. Standards, Los Angeles, (1951), 93 pp.
 
24
An extension of Gauss' transformation for improving the condition of systems of linear equations (with Theodore S. Motzkin). Moth. Tables Aids Comput. 6 (1952), 9-17.
 
25
Bibliographical survey of Russian mathematical monographs, 1930--1951. Natl. Bur. Stand. Rep. 1628, Mar. 25, 1952, 64 pp. Supplement, Rep. 1628A, Dec. 12, 1952, 17 pp.
 
26
A numerical analyst's fifteen-foot shelf. Math Tables Aids Comput. 7 (1953), 221-228.
 
27
Tentative classification of methods and bibliography on solving systems of linear equations. Natl. Bur. Stand. Appl. Math. Series 29 (1953), 1-28.
 
28
Punched-card experiments with accelerated gradient methods for linear equations (with A.I. Forsythe). Natl. Bur. Stand. Appl. Math. Series 39 (1954), 55-69.
 
29
Alternative derivations of Fox's escalator formulae for latent roots. Quart. I. Mech. Appl. Math. 5 (1952), 191-195.
 
30
Solving linear algebraic equations can be interesting. Bull. Amer. Math. Soc. 59 (1953), 299-329.
 
31
Asymptotic lower bounds for the frequencies of polygonal membranes. Pacific 1. Math. 4 (1954), 467-480.
 
32
Review of Householder, Principles of Numerical Analysis. Bull. Amer. Math. Soc. 60 (1954), 488---491.
 
33
Asymptotic lower bounds for the fundamental frequency of convex membranes. Pacific J. Math. 5 (1955), 691-702.
 
34
What are relaxation methods? In Modern Mathematics for the Engineer, E.F. Beckenbach (ed.), McGraw-Hill, New York, 1956, pp. 428--447.
 
35
On best conditioned matrices (with E.G. Strans). Proc. Amer. Math. Soc. 6 (1955), 340-345. {Presented at Proc. Int. Congress Math., Amsterdam, 1954.}
 
36
SWAC computes 126 distinct semigroups of order 4. Proc. Amer. Math. Soc. 6 (1955), 443--447.
 
37
The Souriau-Frame characteristic equation algorithm on a digital computer (with Louise W. Straus). J. Math. Physics 34 (1955), 152-156.
 
38
Computing constrained minima with Lagrange multipliers. 1. Soc. lndust. Appl. Math. 3 (1955), 173-178.
 
39
Relaxation methods. In Mathematical Theory of Elasticity, 2nd ed., See. 125, I.S. Sokolnikoff (ed.), McGraw-Hill, New York, 1956, pp. 454-465.
 
40
Difference methods on a digital computer for Laplacian boundary value and eigenvalue problems. Comm. Pure Appl. Math. 9 (1956), 425-434.
 
41
Selected references on use of high-speed computers for scientific computation. Math. Tables Aids Comput. 10 (1956), 25-27.
 
42
Generation and use of orthogonal polynomials for data fitting with a digital computer..l. Soc. lndust. Appl. Math. 5 (1957), 74-88.
 
43
The educational program in numerical analysis of the Department of Mathematics, U.C.L.A. In The Computing Laboratory in the University, Preston C. Hammer, ed.), U. of Wisconsin Press, 1957, pp. 145-151.
 
44
Suggestions to students on talking about mathematics papers. Amer. Math. Monthly 64 (1957), 16-18.
 
45
The role of computers in high school science education. Computers and Automation 6 (Aug. 1957), 15-16.
 
46
Contemporary state of numerical analysis. In Numerical Analysis and Partial Differential Equations (with Paul C. Rosenbloom), Surveys in Applied Math. 5, John Wiley, New York, 1958, pp. 1-42.
47
 
48
Singularity and near singularity in numerical analysis. Amer. Math. Monthly 65 (1958), 229-240.
 
49
The role of numerical analysis in an undergraduate program. Amer. Math. Monthly 66 (1959), 651-662.
 
50
Numerical methods for high-speed computers-a survey. Proc. WJCC. Mar. 3-5, 1959, Institute for Radio Engineers, New York, pp. 249-254.
 
51
Bibliography on high school mathematics education. Computers and Automation 8 (May, 1959), 17-19.
 
52
Reprint of a note on rounding-off errors. SlAM Rev. 1 (1959), 66-67.
 
53
The cyclic Jacobi method for computing the principal values of complex matrix (with P. Henrici). Trans. Amer. Math. Soc. 94 (1960), 1-23.
 
54
Solution to problem E1398 (with G. Szeg6). Amer. Math. Monthly 67 (1960), 696-697.
 
55
Review of Selfridge, On Finite Semigroups. Math. Computation 14 (1960), 204-207.
 
56
Remark on Algorithm 15 (with John G. Herriot). Comm. ACM 3 (1960), 602.
57
58
 
59
Engineering students must learn both computing and mathematics. J. Eng. Educ. 52 (1961), 177-188.
 
60
Educational implications of the computer revolution. Applications of Digital Computers, W. F. Freiberger and William Prager (eds.), Ginn, Boston, 1963, pp. 166-178.
 
61
Tests of Parlett's Algol eigenvalue procedure Eig. 3. Math. Comput. 18 (1964), 486-487.
62
 
63
On the stationary values of a second-degree polynomial on the unit sphere (with Gene H. Golub). J. Soc. lndust. Appl. Math. 13 (1965), 1050-1068.
64
65
 
66
Solution to Problem 5334. Amer. Math. Monthly 72 (Nov. 1965), 1030.
67
68
 
69
Today's computational methods of linear algebra. SIAM Rev. 9 (1967), 489-515. Reprinted In Studies in Numerical Analysis 1, Soc. Indus. Appl. Math., Philadelphia, 1968.
 
70
On the asymptotic directions of the s-dimensional optimum gardient method. Numerische Mathematik 11 (1968), 57-76.
 
71
What to do till the computer scientist comes. Amer. Math. Monthly 75 (1968), 454-462. {Winner of Lester R. Ford Award, 1969.}
 
72
Solving a quadratic equation on a computer. In The Mathematical Sciences, COSRIMS and George Boehm (eds.), MIT Press, Cambridge, Mass., 1969, pp. 138-152.
 
73
Remarks on the paper by Dekker. In Constructive Aspects o/ the Fundamental Theorem of Algebra, Bruno Dejon and Peter Henrici (eds.), Wiley-Interscience, New York, 1969, pp. 49-51.
 
74
What is a satisfactory quadratic equation solver? In Constructive Aspects of the Fundamental Theorem of Algebra, Bruno Dejon and Peter Henrici (eds.), Wiley-Interscience, New York, 1969, pp. 51-61.
 
75
Computer science and education. Proc. IFIP 68 Cong., 92-106.
 
76
Design-then and now. The Digest Record of the ACM- SIAM-IEEE 1969 Joint Conf. on Mathematical and Computer Aids to Design, ACM, 1969, pp. 2-10.
 
77
Let's not discriminate against good work in design or experimentation. AFIPS 1969 SJCC, Vol. 34, 1969, AFIPS Press, Montvale, N,J., pp. 538-539.
 
78
Pitfalls in computation, or why a math book isn't enough. Amer. Math. Monthly 77 (1970), 931-956. {Winner of Lester R. Ford Award, 1971.}
 
79
The maximum and minimum of a positive definite quadratic polynomial on a sphere are convex functions of the radius. SlAM J. Appl. Math. 19 (1970), 551-554.
80
 
81
Recent references on solving eUiptic partial differential equations by finite differences or finite elements," SIGNUM Newsletter, 6, 1 (Jan. 1971),99, 32-56.
 
82
Variational study of nonlinear spline curves (with E. H. Lee). To appear in SIAM Review.
 
83
von Neumann's comparison method for random sampling from the normal and other distributions. To appear in Math. o{ Computation.