VOLUME XLX

AUTHOR INDEX

Papers and Technical Notes

Short papers and notes are marked (N) in this index

Author Title Page

Anderson, Donald G. Gaussian quadrature formulae for /J—ln(x)f(x) dx (N). 477

Aumann, R. J., Peleo, A method for computing the kernel of n-person games. 531

B. & Rabinowitz, P.

Baumert, L. D. & Hadamard matrices of the Williamson type. 442

Hall, Marshall Jr.

Ben-Israel, Adi An iterative method for computing the generalized inverse of

an arbitrary matrix (N). 451

Brown, Robert R., - Stability properties of Adams-Moulton type methods. 90

Riley, James D. &

Bennett, Morris M.Broyden, C. G. A class of methods for solving non-linear simultaneous equa-

tions . 577

Butcher, J. C. On the attainable order of Runge-Kutta methods. 408

Carlitz, L. The irreducibility of the Bernoulli polynomial Bu(x) (N)_ 667

Cassity, C. R. Abscissas, coefficients, and error term for the generalized

Gauss-Laguerre quadrature formula using the zero ordinate. 287

Church, Robert F. On a constant in the theory of trigonometric series (N). 501

Cody, W. J. Chebyshev approximations for the complete elliptic integrals

K and E. 105Cody, W. J. Chebyshev polynomial expansions of complete elliptic inte-

grals. 249

Cohn, Harvey A numerical survey of the floors of various Hubert funda-

mental domains. 594

Cooley, James W. & An algorithm for the machine calculation of complex Fourier

Tukey, John W. series. 297Delves, L. M. Variation principles for an arbitrary operator III. 380

Derzko, N. A. & Bounds for the spectral radius of a matrix. 62

Pfeffer, A. M.

Elliott, David Truncation errors in two Chebyshev series approximations. . 234

Elliott, David & Some estimates of the coefficients in the Chebyshev series

Szekeres, George expansion of a function. 25

Fettis, Henry E. Calculation of elliptic integrals of the third kind by means of

Gauss' transformation. 97

Fields, Jerry L. Rational approximations to generalized hypergeometric

functions. 606

Fosdick, Lloyd D. Approximation of a class of Wiener integrals. 225

Franke, Charles H. Numerical evaluation of the elliptic integral of the third kind

(N). 494Franklin, Joel N. Difference methods for stochastic ordinary differential equa-

tions . 552

Gary, John Hyman's method applied to the general eigenvalue problem

(N). 314Gary, John Computing eigenvalues of ordinary differential equations by

finite differences. 365

Gloden, A. New primes of the form n* + 1 (N). 144

Goodman, Theodore R. The numerical solution of eigenvalue problems (N). 462

707

708 AUTHOR INDEX

Hayashi, Harry S.

Heatley, A. H.

Hoffman, A. J.

ISEMONGER, K. R.

Jagerman, D. L.

James, Wendy &

Jarratt, P.

Johnson, Selmer M.

Keedwell, A. D.

Kellogg, R. B. &

Spanier, J.

Konheim, Alan G.

Lambert, John D. &

Shaw, Brian

Lee, Nancy & Stroud,

A. H.Leszczynski, Bogumil

Ling, Chih-Bing

Ling, Chih-Bing

Ling, Chih-Bino &

Wu, Hsien-Chueh

Lo, Y. T., Lee, S. W.& Sun, B.

Luke, Yudell L., et

al.

Lyness, J. N.

Lyness, J. N.

Lyness, J. N.

Lyness, J. N.

Lyness, J. N.

Mack, Lawrence R.

Mayoh, B. H.

McAndrew, M. H.

Medhurst, R. G. &

Roberts, J. H.

Metropolis, N. &

Ashenhurst, R. L.

Nashed, M. Z.

Olunloyo, V. O. S.

Ormonde,Stephan &

Dick, Jerald S.

Page

Computer investigation of difference sets. 73

An extension of the table of the Toronto function (N). 118

On the nonsingularity of real matrices. 56

Some additional factorizations of 2" ± 1 (N). 145

Some theorems concerning pseudo-random numbers. 418

The generation of square roots on a computer with rapid

multiplication compared with division (N). 497

An elementary remark on maximal gaps between successive

primes (N). 675

A search for projective planes of a special type with the aid of

a digital computer (N). 317

On optimal alternating direction parameters for singular

matrices (N). 448

Mantissa distributions (N). 143

On the numerical solution of y' =/(x, y) by a class of formulae

based on rational approximation (N).. 456

Approximate integration formulas for ellipses (N). 322

On the sum of the series ]C»-o t'/[uv + m]\ (N). 677

Tables of values of a^, relating to Weierstrass' elliptic func-

tion (N). 123Evaluation at half periods of Weierstrass' elliptic functions

with double periods 1 and e'" (N). 658Tables of values of three infinite integrals (N). 487

On Davis' method of estimating quadrature errors (N). 133

On a constant in the theory of trigonometric series (N).501

Symmetric integration rules for hypercubes. I. Error co-

efficients . 260

Symmetric integration rules for hypercubes. II. Rule projec-

tion and rule extension. 394

Integration rules of hypercubic symmetry over a certain

spherically symmetric space (N). 471

Symmetric integration rules for hypercubes. III. Construc-

tion of integration rules using null rules.625

Limits on the number of function evaluations required by

certain high-dimensional integration rules of hypercubic

symmetry. 638

Bessel-function identities needed for the theory of axisym-

metric gravity waves (N). 654

A graph technique for inverting certain matrices (N). 644

An algorithm for solving a polynomic congruence, and its

application to error-correcting codes. 68

Evaluation of the integral /„(&) = 2x~1J*0 (sin x/x)n

cos (bx) dx. 113Radix conversion in an unnormalized arithmetic system. 435

On general iterative methods for the solutions of a class of non-

linear operator equations. 14

A special technique for the determination of eigenvalues (N). . 466

A method of calculation of integrals of products of radial

atomic wave functions (N). 647

AUTHOR INDEX 709

Page

Pearson, Carl E. Impulsive end condition for diffusion equation. 570

Petryshyn, W. V. On the extrapolated Jacobi or simultaneous displacements

method in the solution of matrix and operator equations.... 37

Price, H. S. A practical application of block diagonally dominant matrices

(N). 307Razelos, P. A new integral representation of the Bessel coefficients (N). . 130

Rigler, A. K. Estimation of the successive over-relaxation factor (N). 302

Roberts, Jerry Allan Computation of moments of K„{t)/I,{t) (N). 651

Robinson, Raphael M. Some conjectures about cyclotomic integers. 210

Secrest, Don Best approximate integration formulas and best error bounds. 79

Shampine, Lawrence F. Quadrature formulas using derivatives (N). 481

Siegel, Irving H. Deferment of computation in the method of least squares (N). 329

Simon, W. E. Numerical technique for solution and error estimate for the

initial value problem. 387

Smith, F. J. An algorithm for summing orthogonal polynomial series and

their derivatives with applications to curve-fitting and

interpolation. 33

Sprung, Donald W. L. Gauss weights and ordinates for JÓ/(x)x2 dx (N). 139

& Hughes, D. J.

Stein, M. L. & Stein, Experimental results on additive 2-bases. 427

P. R.Sternberg, H. M. & Computation of the Riemann function for the operator

Diaz, J. B. d"/dxi dx2- • -dxn +a(xlt x2)- ■ -, x„). 562

Stetter, Hans J. Stabilizing predictors for weakly unstable correctors. 84

Strand, Otto Neall A method for the computation of the error function of a com-

plex variable (N). 127

Sutherland, C. D. Footnote to the evaluation of certain complex elliptic integrals

(N). 132Tausworthe, Robert Random numbers generated by linear recurrence modulo

C. two. 201

Thompson, G. T. The asymptotic expansion of the integrals psi and chi in terms

of Tchebycheff polynomials (N). 661

Traub, J. F. Generalized sequences with applications to the discrete

calculus. 177

Verma, Arun A class of expansions of G-functions and the Laplace trans-

form (N). 664

Wadsworth, Donald Improved asymptotic expansion for the exponential integral

with positive argument (N). 327

Wells, Jacqueline & On the number of solutions of certain trinomial congruences

Muskat, Joseph (N). 483

Wendroff, Burton Bounds for eigenvalues of some differential operators by the

Rayleigh-Ritz method. 218Whitney, E. L. Estimates of weights in Gauss-type quadrature. 277

Widlund, Olof B. On the stability of parabolic difference schemes. 1

Williams, H. C, Solution of the cattle problem of Archimedes (N). 671

German, R. A. &

Zarnke, C. R.Yang, C. H. A note on the maximum value of determinants over the com-

plex field (N). 455

710 INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED

INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED

Author

Abrabamson, I. G.

Abramowitz, Milton, Editor

Albasiny, E. L.

Alexandroff, P. S.

Alt, Franz L., Editor

Alt, Franz, L., Editor

Andersen, C.

Armerding, G.

Arscott, F. M.Arsham, Isabelle

Atoji, M.Atoji, M.Bailey, Norman T. J.

Bakhvalov, H. C.

Balakrishnan, A. V., Editor

Bateman, Paul T.

Bauer, F. L.Bauer, Karl Wilhelm

Baumann, R.Baumgartner, Ludwig

Beckenbach, Edwin F., Editor

Beiler, Albert H.

Bell, R. J.

Bellman, Richard, Editor

Belyakov, V. M.

Bennett, B. M.Böhling, Karl-Heinz

Bolliet, L.

Boltyanskii, V. G.

Bowman, Howard S.

Brown, Orley E.

Burington, Richard S.

Burnett-Hall, D. G.

Butcher, J. C.Caslin, James C.

Chunikhin, C. A.

Ciriani, T. A.Claassen, R. W.

Clark, F. L.

Clark, F. L.

Cody, W. J.Colbert, Harry M.

Conti, R.Cooper, J. R. A.Coxeter, H. S. M.Curtis, A. R.

Curtis, A. R.Cutler, Donald I.

Davis, Harold T.

Djokovic, D. Z.

Dodes, Irving Allen

Dodes, Irving Allen

Dougherty, H. T.

Review Number Table Classification Page

71

1611562

1026373

126

118124

1258

8899

11225

59257489

10916

901271216426

181001327227

568175

119

211241254791

13316

1161040

103131

10828

57122

[K][A-F, H-[M,X][G][Z][Z][Z][F][L, M][H][L][L,S]IK][S,X][X, Z][F][Z][X][Z][G][X][F][M.X][X][L,M]IK][Z][Z][P,X]IX, Z][M][A—E, G-[Z][X]IL,M][G][H][V,X]IL]IL, S][L][X][M][M, X][G][L][L][Z][L,X][B, I, L][Z][X][L]

-M, R, S, X]

•0, P, S]

152147157687351523352503693688692692153513520684166349166505513682157514694691

353168159522698503168

348509505690163692692342515699157688154341524696681169348691

INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED 711

Author

Dresel, L. A. G.

Dubisch, Roy

Èl'sool'c, L. È.Emersleben, Otto

Faddeyev,D. K.

Fano, Robert M.

Fejes Tóth, L.

Feliciano, M.

Fettis, Henry E.FlSHERKELLER, M. A.

Fox, L.Fox, L.Frisiani, A. L.Froese, Charlotte

Gaier, Dieter

Gamkrelidze, R. V.

Gass, Saul I.

Gastinel, N.

German, R. A.Ginsburg, Seymour

Goodwin, Norton

Greitzer, Samuel L.

Gruenberger, F.

gutenmakher, l. i.

Hahn, Dietrich

Hall, Marshall Jr.

Handscomb, D. C.

Hammersley, J. M.

Hansen, A. G.Hansen, Arthur G.

Harris, Theodore E.

Harvey, Athena

Heatley, A. H.

Henrici, Peter

Henrici, Peter

Hodgman, Charles D., Editor

Horn, Roger A.

Horst, C.

Huskey, H. D., Editor

Isaacs, Rufus

James, M. L.

Johnson, M. E.

Johnston, J. R.

Kalaba, Robert, Editor

Karmazina, L. N.

Karpov, K. A.Kibel', I. A.

Kirk, Alan

Korn, G. A., Editor

Kovach, Ladis D.

Kravitz, Sidney

Kravtsova, R. I.

Kruglikova, L.

Lander, Leon J.

Laurent, P. J.

Review Number Table Classification Page

27 [Z] 16865 [Z] 35358 [X] 349

130 [L, V] 69576 [G] 50679 IK, X] 50724 [X] 16625 [Z] 16681 [L, M] 50947 [L] 34240 [G, X] 337

117 [G, X] 688119 [H] 690104 [Z] 525134 [X] 69918 [P, X] 15955 [W, X, Z] 34726 [Z] 168

114 [F] 68629 [Z] 1692 [D] 149

57 [X] 34873 [F] 50366 [Z] 35454 [S] 34639 [G] 33545 [K, X] 34045 [K, X] 34012 [L] 15584 [P, X] 51167 [Z] 35514 [L, M] 15548 [L] 3436 [I, X] 152

92 [X] 516107 [A—F, K—N, Q] 680112 [F] 684121 [K] 69168 [Z] 355

135 [X] 70085 [P, X, Z] 511

122 [L] 69149 [L] 34390 [X] 514

123 [L] 692128 [L, M] 69420 [V] 16252 [L, M] 34468 [Z] 355

137 [X, Z] 702113 [F] 686127 [L, M] 69417 [M, X] 15837 [F] 33426 [Z] 168

712 INDEX OF^REVIEWSJBY AUTHOR OF WORK REVIEWED

Author

Layton, L. L.Levine, Leon

Ling, Chih-Bing

Linnik, Ju. V.

Luke, Siu-kay

Madachy, Joseph S.

Maley, Gerald A.

Mankopf, Jürgen Richard

Mansell, W. E.

Marcus, Marvin

McCormick, John M.

Meinardus, Günter

Metropolis, N., Editor

Mijares, Tito A.

Minc, Henryk

Mishchenko, E. F.

Mitrinovic, D. S.

MlTRINOVlé, D. S.

Mitrinovic, D. S.Mitrinovic, D. S.

Mitrinovic, R. S.

Mitrinovic, R. S.Moore, Edward F., Editor

Morris, Max

Moser, W. O. J.Munro, William D.

Na, T. Y.Neustadt, Lucien W., Editor

Newell, Allen

Newman, James R.

Nickel, Karl

Nielsen, Kaj L.

Noble, Ben

Norton,Karl K.

Parkin, Thomas R.

Peschl, Ernst

Peschon, John, Editor

pontryagin, l. s.Prager, William

Ratcliffe, J. F.

Raisbeck, Gordon

Rappoport, M. G.Rice, John R.

Richards, Charles H.

Rubinoff, Morris, Editor

Rubinoff, Morris, Editor

Salvadori, Mario G.

Salzer, Herbert E.

Samelson, K.

Samet, P. A.

Sansone, G.

Schneider, Hans, Editor

Schröder, Gerhard

Schultz, Louise

Review Number Table Classification Page

514411

110

50113

1058235

3101

93

6142

318

594

108120

5120

30132116

3312

99

6922

7023

1363837598618

138

34

71127

95118

62102

10111825

27

133777831

[L]IK, P, Z][L][F][L]IF][Z]IL, Z][A,C][G,X][X, Z]IX]IX, Z]IK][G,X]IP, X][I][X][B, I, L]ID[I][I][Z][M]IG][Z][L][X, Z][Z]IX][Z][X][X][F]IF][X]IP, Z][P,X][X, Z][Z][Z][L, M][X][H]|Z]IZ][X, Z][H][Z][Z][M][G, X][G, X]IZ]

344339155683343686525509332150

523517350338150159

151517681690151690171

172155

520356164358165701334334349

512159702173

359694518688351523523688166168

(199

506

507171

INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED 713

Author

Selby, Samuel M.

Senior, James K.

Sherman, Philip M.

Singer, James

Skiko, Edward

Skoblia, N.

Smirnov, N. V., Editor

Smith, G. M.

Spira, Robert

Spira, Robert

Statistical Engineering Laboratory

Stegun, Irene A., EditorStein, Marvin L.

Stein, M. L.Stein, P. R.

Stucke y , M. M.Taub, A. H., General Editor

Thorne, C. J.

Traub, J. F.Trollhann, Lilian

Tsypkin, Ya. Z.

Vilenkin, N. Ya.

Wait, J. R.Walters, L. C.

Weast, Robert C, Editor

Wegner, Peter, Editor

Weissman, Stanley

Whiteman, Albert Leon, Editor

Wilcox, Calvin H., Editor

Williams, H. C.

Wine, R. Lowell

Wittmann, Alfred

Wolford, J. C.

Wolfowitz, J.

wooldridge, r.

youden, w. w.

Young, Andrew

Zarnke, C. R.

Zhurina, M. I.

Zubov, V. I.

Zurmühl, R.

Review Number Table Classification Page

107 [A—F, K—N, Q] 68039 [G] 33532 |Z] 17296 [X] 518

105 [Z] 52515 [L, M] 156

129 [L, M] 69485 IP, X, Z] 51113 [L] 15580 [L] 5089 [K] 1531 LA—F, H—M, R, S, X] 147

33 [Z] 17236 IF] 33236 [F] 33251 [L] 34453 [Q, V, X] 34621 [V, X] 1634 [H, X] 151

139 [Z] 70319 [P, X] 16197 [X] 51983 [M, S] 51083 [M, S] 510

107 [A-F, K—N, Q] 680106 [Z] 526

50 [L] 343

111 [F] 683

98 [X] 520114 [F] 686

43 [K] 339139 [Z] 703

85 [P, X, Z] 511

87 [P, Z] 51234 [Z] 173

140 ]Z] 704

52 [L, M] 344114 [F] 686

123 [L] 692

60 [X] 349

41 [G, X] 338

NOTES

Title Page

New Journal. 175

Reviews and Descriptions of Tables and Books. 176

New Publication. 364

New Journal. 529

714 INDEX OF TABLE ERRATA

TABLE ERRATA

No. Author Title Page

362 Abramowitz,

Milton & Stegun,

Irene A., Editors

365 Abramowitz,

Milton & Stegun,

Irene A., Editors

373 Abramowitz,

Milton & Stegun,

Irene A., Editors,376 Abramowitz,

Milton & Stegun,

Irene A., Editors

366 Erdélyi, A.,

Magnus, W.,Oberhettinger,

F. & Tricomi, F.G.

374 Erdélyi, A.,Magnus, W.,Oberhettinger,

F. & Tricomi, F.G.

367 Erdélyi, A.,Magnus, W.,Oberhettinger,

F. & Tricomi, F.G.

377 Haberman, W. L.& Harley, E. E.

368 Hall, Marshall Jr.

& Senior, James

K.371 Kent, Frederick C.

& Kent, Maude

E.369 Lowell, Herman H.

364 Pearson, K.

363 Peters, Jean

378 Peters, Jean

372 Potin, L.

370 Spenceley, G. W.,Spenceley, R. M.

& Epperson, E.R.

375 Weast, Robert C,

Selby, Samuel M.

& HODGMAN,

Charles D.,

Editors

Handbook of Mathematical Functions with Formulas, Graphs,

and Mathematical Tables. 174

Handbook of Mathematical Functions with Formulas, Graphs,

and Mathematical Tables. 360

Handbook of Mathematical Functions with Formulas, Graphs,

and Mathematical Tables. 527

Handbook of Mathematical Functions with Formulas, Graphs,

and Mathematical Tables. 705

Higher Transcendental Functions. 361

Higher Transcendental Functions. 527

Tables of Integral Transforms. 361

Numerical Evaluation of Integrals containing Modified Bessel

Functions. 705

The Groups of Order î" (n g 6). 362

Compound Interest and Annuity Tables. 363

Tables of the Bessel-Kelvin Functions Ber, Bei, Ker, Kei,

and their Derivatives for the Argument Range 0(0.01)107.50. 362

On the Construction of Tables and on Interpolation. Part I.

Vni-variate Tables. Tracts for Computers. 175

Eight-Place Tables of Trigonometric Functions for Every

Second of Arc. 174Eight-Place Tables of Trigonometric Functions for Every

Second of Arc. 706Formules et Tables Numériques relatives aux Fonctions

Circulaires, Hyperboliques, Elliptiques. 363

Smithsonian Logarithmic Tables to Base e and Base 10.362

Handbook of Mathematical Tables. 528

INDEX OF REVIEWS BY SUBJECT 715

CORRIGENDA

Author

Abramowitz, Milton

& Stegun,Irene A.Editors

Fettis, Henry E.

Lehmer, D. H.

Teichroew, D.

Wimp, Jet

Title PageHandbook of Mathematical Functions with Formulas, Graphs,

and Mathematical Tables. 529

"On the numerical solution of equations of the Abel type"_175

"Recent discoveries of large primes". 175

"Use of continued fractions in high speed computing". 706

"Polynomial expansions of Bessel functions and some as-

sociated functions". 175

REVIEWS BY SUBJECT

A. Arithmetical Tables, Mathematical Constants

Author Review

Abramowitz, Milton & 1

Stegun, Irene A.,

Editors

Burington, Richard S. 72

Mansell, W. E. 35

Weast, Robert C, 107

Selb y , Samuel M., &

Hodgman, Charles D.,

Editors

Title Page

Handbook of Mathematical Functions with Formulas,

Graphs, and Mathematical Tables. 147

Handbook of Mathematical Tables and Formulas. 503

Tables of Natural and Common Logarithms to 110 ¡A

Decimals.332Handbook of Mathematical Tables. 680

Abramowitz, Milton &

Stegun, Irene A.,Editors

Burington, Richard S.

Mitrinovic, D. S. &

Djokovic, D. Z.

Weast, Robert C,

Selby, Samuel M. &

Hodgman, Charles D.,

Editors

Abramowitz, Milton &

Stegun, Irene A.,

Editors

Burington, Richard S.

Mansell, W. E.

Weast, Robert C,

Selby, Samuel M. &

Hodgman, Charles D.,

Editors

Abramowitz, Milton &

Stegun, Irene A.,

Editors

72108

107

7235

107

B. Powers

Handbook of Mathematical Functions with Formulas,

Graphs, and Mathematical Tables. 147

Handbook of Mathematical Tables and Formulas. 503

Specijalne Funkcije (Special Functions); Zbornik Ma-

tematiikih Problema (Collection of Mathematical

Problems). 681Handbook of Mathematical Tables. 680

C. Logarithms

Handbook of Mathematical Functions with Formulas,

Graphs, and Mathematical Tables. 147

Handbook of Mathematical Tables and Formulas.503

Tables of Natural and Common Logarithms to 110

Decimals. 332

Handbook of Mathematical Tables. 680

D. Circular Functions

Handbook of Mathematical Functions with Formulas,

Graphs, and Mathematical Tables. 147

716 INDEX OF REVIEWS BY SUBJECT

Author

Burington, Richard S.

Goodwin, Norton

Weast, Robert C,

Selby, Samuel M. &

■ Hodgman, Charles D.

Editors

Abramowitz, Milton &

Stegun, Irene A.,

EditorsBurington, Richard S.

Weast, Robert C,

■ Selby, Samuel M. &

Hodgman, Charles D.,

Editors

Abramowitz, Milton &

Stegun, Irene A.,

' EditorsBateman, Paul T. &

Horn, Roger A.Beiler, Albert H.

Gruenberger, F. &

Armerding, G.

Kravitz, Sidney &

Madachy, Joseph S.

Linnik, Ju. V.Norton, Karl K.

Parkin, Thomas R. &

Lander, Leon J.

Stein, M. L. & Stein,P. R.

Weast, Robert C,

Selby, Samuel M. &

Hodgman, Charles D.,

EditorsWhiteman, Albert

Leon, Editor

Williams, H. C,

German, R. A. &Zarnke, C. R.

Alexandroff, P. S.

Baumgartner, Ludwig

Burington, Richard S.

Chunikhin, C. A.

Review Title Page

72 Handbook of Mathematical Tables and Formulas. 503

2 Seven Place Cosines, Sines and Tangents for Every

Tenth Microturn. 149

107 Handbook of Mathematical Tables. 680

Hyperbolic and Exponential Functions

1 Handbook of Mathematical Functions with Formulas,

Graphs, and Mathematical Tables. 147

72 Handbook of Mathematical Tables and Formulas. 503

107 Handbock of Mathematical Tables. 680

F. Theory of Numbers

1 Handbook of Mathematical Functions with Formulas,

Graphs, and Mathematical Tables. 147

112 "Primes represented by irreducible polynomials in

one variable". 684

109 Recreations in the Theory of Numbers—The Queen of

Mathematics Entertains. 682

73 Statistics on the First Six Million Prime Numbers. 503

113 Divisors of Mersenne Numbers 20,000<p< 100,000_ 686

110 The Dispersion Method in Binary Additive Problems . 68338 "Remarks on the number of factors of an odd perfect

number". 334

37 Abundant Numbers. 334

36 Tables of the Number of Binary Decompositions of All

Even Numbers 0 < en < 200,000 into Prime Num-

bers and Lucky Numbers. 332

107 Handbook of Mathematical Tables. 680

111 Theory of Numbers.

114 Solution of the Cattle Problem of Archimedes.

683

G. Higher Algebra

115 Introduction à la Théorie des Groupes. 687

74 Gruppentheorie. 505

72 Handbook of Mathematical Tables and Formulas. 503

75 Podgruppy Konechiykh Grupp (Subgroups of Finite

Groups). 505

INDEX OF REVIEWS BY SUBJECT 717

Author

COXETER, H. S. M. &

Moser, W. O. J.Faddeyev,D. K.

Fox, L.Fox, L.Hall, Marshall Jr. &

Senior, James K.

Marcus, Marvin &

Minc, Henryk

Schneider, Hans, Editor

Schröder, Gerhard

Zurmühl, R.

Abramowitz, Milton &

Stegun, Irene A.,

EditorsBurington, Richard S.

ClRIANI, T. A. &

Frisiani, A. L.

Salzer, Herbert E.,

Richards, Charles H.

& Arsham, Isabelle

Traub, J. F.

Abramowitz, Milton &

Stegun, Irene A.,

Editors

Burington, Richard S.

Henrici, Peter

MlTRINOVICj D. S. &

DjoKovié, D. Z.

Mitrinovic, D. S. &

Mitrinovic, R. S.

Mitrinovic, D. S. &

Mitrinovic, R. S.

Abramowitz, Milton &

Stegun, Irene A.,

Editors

Burington, Richard S.

Abrahamson, I. G.

Abramowitz, Milton &

Stegun, Irene A.,

Editors

Bailey. Norman T. J.

Review Title Page

116 Generators and Relations for Discrete Groups. 688

76

40117

39

Tables of the Principal Unitary Representations of

Fedorov Groups. 506An Introduction to Numerical Linear Algebra. 337

An Introduction to Numerical Linear Algebra.688

The Groups of Order 2"(n á 6).335

3 A Survey of Matrix Theory and Matrix Inequalities.. 150

77 Recent Advances in Matrix Theory. 506

78 Über die Konvergenz einiger J acobi-Verfahren zur

Bestimmung der Eigenwerte symmetrischer Matrizen. 507

41 Matrizen und ihre technischen Anwendungen. 338

H. Numerical Solution of Equations

1 Handbook of Mathematical Functions with Formulas,

Graphs, and Mathematical Tables. 147

72 Handbook of Mathematical Tables and Formulas. 503

119 Tabulation of Solutions of the Cubic Equation z* +

Az - A = 0. 690118 Table for the Solution of Cubic Equations. 688

4 Iterative Methods for the Solution of Equations. 151

I. Finite Differences, Interpolation

1 Handbook of Mathematical Functions with Formulas,

Graphs, and Mathematical Tables. 147

72

6108

120

Handbook of Mathematical Tables and Formulas. 503

Error Propagation for Difference Methods. 152

Specijalne Funkcije (Special Functions); Zbornik

Matematickih Problema (Collection of Mathematical

Problems). 681Tableaux d'une classe de nombres reliés aux nombres

de Stirling II and HI. 151Tableaux d'une classe de nombres reliés aux nombres de

Stirling IV and V. 690

J. Summation of Series

1 Handbook of Mathematical Functions with Formulas,

Graphs, and Mathematical Tables. 147

72 Handbook of Mathematical Tables and Formulas. 503

K. Statistics

7 A Table for Use in Calculating Orthant Probabilities

of the Quadrivariate Normal Distribution. 152

1 Handbook of Mathematical Functions with Formulas,

Graphs, and Mathematical Tables. 147

8 The Elements of Stochastic Processes with Applications

to the Natural Sciences. 153

718 INDEX OF REVIEWS BY SUBJECT

Author Review

Bennett, B. M. & 121Horst, C.

Burington, Richard S.

Fano, Robert M.

Hammersley, J. M. &

Handscomb, D. C.

Levine, Leon

Mijares, Tito A.

Title Page

72

79

45

44

42

Statistical Engineering

Laboratory

Weast, Robert C, Selby,

Samuel M. & Hodgman,

Charles D., Editors

Wine, R. Lowell

Tables for Testing Significance in a 8 X. 2 Contingency

Table: Extension to Cases: A = 41(1)60. 691

Handbook of Mathematical Tables and Formulas. 503

Transmission of Information, A Statistical Theory of

Communications. 507

Monte Carlo Methods.340

Methods for Solving Engineering Problems Using

Analog Computers. 339

Percentage Points of the sum Fi*1 of s Roots (s •* 1 —

SO), A Unified Table for Tests of Significance inVarious Univariate and Multivariate Hypotheses... 338

Table of Percentage Points of the x*-Distribution. 153

107 Handbook of Mathematical Tables.

43 Statistics for Scientists and Engineers. 339

L. Higher Mathematical Fonctions

Abramowitz, Milton & 1

Stegun, Irene A., Editors

Arscott, F. M. 126Atoji, M. & Clark, F. L. 124

Atoji, M. & Clark, F. L. 125

Belyakov, V. M., Kra- 127

vtsova, R. I. & Rappo-

port, M. G.Burington, Richard S. 72

Curtis, A. R. 10

Curtis, A. R. 46Davis, Harold T. 131

Dougherty, H. T. & 122

Johnson, M. E.

Emersleben, Otto 130

Fettis, Henry E. & 81Caslin, James C.

Fisherkeller, M. A. & 47

Cody, W. J.Harvey, Athena 14

Heatley, A. H. 48

Johnston, J. R. 49

Karpov, K. A. 128

Ling, Chih-Bing 11

Luke, Siu-kay & Weiss- 50

man, Stanley

Handbook of Mathematical Functions with Formulas,

Graphs, and Mathematical Tables. 147

Periodic Differential Equations. 693Tables of the Generalized Riemann Zeta Functions.... 692

The Generalized Riemann Zeta Functions and their

Applications in the Calculations of Neutron Cross

Sections. 692

Tables of Elliptical Integrals. 694

Handbook of Mathematical Tables and Formulas. 503Tables of Jacobian Elliptic Functions whose Argu-

ments are Rational Fractions of the Quarter Period. . 154

Coulomb Wave Functions. 341

Tables of the Mathematical Functions. 696

A Tabulation of Airy Functions. 691

Die Strömungsbereiche bei zentrischer Überlagerung

zweier Grundfunktionen doppeltperiodischer Par-

allelströmungen . 695

Tables of Elliptic Integrals of the First, Second andThird Kind. . 509

Tables of the Complete Elliptic Integrals K, K', E, andE'. 342

Tables of fl e^'Iott). 155Tables of the Confluent Hypergeometric Function and

the Toronto Function. 343

Tables of Values and Zeros of the Confluent Hyper-

geometric Function. 343

Tables of the Function w(z) = e~* fi ez dx in the Com-

plex Domain. 694

Tables of Values of o-2. Relating to Weierstrass' Elliptic

Function. 155

Bessel Functions of Imaginary Order and Imaginary

Argument. 343

INDEX OF REVIEWS BY SUBJECT 719

Author Review

Mankopf, Jürgen 82

Richard

Mitrinovic, D. S. & 108Djokovic, D. Z.

Na, T. Y. & Hansen, A. 12

G.Skoblià, N. 15

Smirnov, N. V., Editor 129

Spira, Robert 13

Spira, Robert 80

Stuckey, M. M. & Layton, 51

L. L.Weast, Robert C, Selby, 107

Samuel M., & Hodgman,

Charles D., Editors

Young, Andrew & Kirk, 52

Alan

Zhurina, M. I. & Karma- 123zina, L. N.

Abramowitz, Milton &

Stegun, Irene A.,Editors

Albasiny, E. L., Bell, R.

J. & Cooper, J. R. A.

Arscott, F. M.Belyakov, V. M.,

Kravtsova, R. I. &

Rappoport, M. G.Burington, Richard S.

Fettis, Henry E. &Caslin, James C.

Harvey, Athena

Karpov, K. A.

Kruglikova, L.

Morris, Max & Brown,

Orley E.

Sansone, G. & Conti, R.Skoblía, N.

Smirnov, N. V. Editor

16

126127

7281

14

128

17132

13315

129

83Walters, L. C. & Wait,

J. R.Weast, Robert C, Selby, 107

Samuel M. & Hodgman,

Charles D., Editors

Young, Andrew & Kirk, 52

Alan

Title Page

Über die periodischen Lösungen der Van der Polschen

Differentialgleichung x + p(x2 — l)x + x = 0. 509Specijalne Funkcije (Special Functions); Zbornik

Mathematiikih Problema (Collection of Mathemati-

cal Problems). 681

Tabulation of the Hermite Function with Imaginary

Arguments H„(ix). 155Tables for the Numerical Inversion of Laplace Trans-

forms . 156Tables of the Normal Probability Integral, the Normal

Density, and its Normalized Derivatives. 694

Calculation of the Riemann Zeta Function. 155

Coefficients for the Riemann-Siegel Formula. 508

Numerical Determination of Spheroidal Wave Function

Eigenvalues and Expansion Coefficients. 344

Handbook of Mathematical Tables. 680

Bessel Functions, Part IV: Kelvin Functions. 344

Tables of the Legendre Functions, Part i. 692

M. Integrals

Handbook of Mathematical Functions, with Formulas,

Graphs and Mathematical Tables. 147

A Table for the Evaluation of Slater Coefficients and

Integrals of Triple Products of Spherical Har-

monics. 157

Periodic Differential Equations. 693

Tables of Elliptical Integrals. 694

Handbook of Mathematical Tables and Formulas. 503Tables of Elliptic Integrals of the First, Second and

Third Kind. 509Tables of ft e~i"h(t). 155Tables of the Function w(z) = e~»s ¡I e-x* dx in the

Complex Domain. 694

Tables for Numerical Fourier Transformations. 158

Differential Equations. 698

Non-linear Differential Equations. 699

Tables for the Numerical Inversion of Laplace Trans-

forms. 156Tables of the Normal Probability Integral, the Normal

Density, and its Normalized Derivatives. 694

Computation of a Modified Fresnel Integral Arising

in the Theory of Diffraction by a Variable Screen... 510

Handbook of Mathematical Tables. 680

Bessel Functions, Part IV: Kelvin Functions. 344

720 INDEX OF REVIEWS BY SUBJECT

Author

Burington, Richard S.

Weast, Robert C, Selby,

Samuel M. & Hodgman,

Charles D., Editors

Burington, Richard S.

Burington, Richard S.

Hansen, Arthur G.

James M. L., Smith, G. M.

& Wolford, J. C.

Levine, Leon

Peschon, John, Editor

PONTRYAGIN, L. S.,

BOLTYANSKII, V. G.,

Gamkrelidze, R. V. &

Mishchenko, E. F.

Tsypkin, Ya. Z.

Wolfowitz, J.

Taub, A. H., General

EditorWeast, Robert C, Selby,

Samuel M. & Hodgman,

Charles D., Editors

Abramowitz, Milton &

Stegun, Irene A.,

Editors

Abramowitz, Milton &

Stegun, Irene A.,

EditorsAtoji, M. & Clark, F. L.

Bakhvalov, H.C, et al.

Burington, Richard S.

Hahn, Dietrich, et al.

Walters, L. C. & Wait,

J. R.

Review Title Page

N. Interest and Investment

72 Handbook of Mathematical Tables and Formulas. 503

107 Handbook of Mathematical Tables. 680

72

7284

85

44

8618

O. Actuarial Science

Handbook of Mathematical Tables and Formulas. 503

P. Engineering

Handbook of Mathematical Tables and Formulas. 503

Similarity Analyses of Boundary Value Problems in

Engineering. .511

Analog and Digital Computer Methods in Engineering

Analysis:.. 511

Methods for: Solving Engineering Problems Using

Analog Computers.. 339

Disciplines and Techniques of Systems Control.512

The Mathematical Theory of Optimal Processes. 159

19 Sampling Systems Theory and its Application. 161

87 Coding Theorems of Information Theory. 512

Q. Astronomy

53 John von Neumann, Collected Works, Volume VI. ... 346

107 Handbook of Mathematical Tables. 680

R. Geodesy

1 Handbook of Mathematical Functions with Formulas,

Graphs, and Mathematical Tables. 147

Physics, Geophysics, Crystallography

1 Handbook of Mathematical Functions with Formulas,

Graphs, and Mathematical Tables. 147

125 The Generalized Riemann Zeta Functions and their

Applications in the Calculations of Neutron Cross

Sections. 692

88 Chislennye melody resheniíh differentsial'nykh i inte-

gral'nykh uravnehii i kradralurnye formuly (Numeri-

cal Methods for the Solution of Differential and Inte-

gral Equations and Quadrature Formulas). 513

72 Handbook of Mathematical Tables and Formulas. 503

54 Seven-Place Tables of the Planck Function for the

Visible Spectrum. 346

83 Computation of a Modified Fresnel Integral Arising

in the Theory of Diffraction by a Variable Screen.... 510

INDEX OF REVIEWS BY SUBJECT 721

Author

Claassen, R. W. &

Thorne, C. J.

Emersleben, Otto

Kibel', I. A.

Taub, A. H., General

Editor

Review Title

V. Aerodynamics, Hydrodynamics, Ballistics

21 Steady-Stale Motion of Cables in Fluids, Part 2, Tables

of Cable Functions for Vertical Plane Motion. 163

130 Die Stromungsbereiche bei zentrischer Überlagerung

zweier Grundfunktionen doppeltperiodischer Par-

allelströmungen . 695

20 An Introduction to the Hydrodynamical Methods of

Short Period Weather Forecasting. 162

53 John von Neumann, Collected Works, Volume VI. 346

W. Economics and Social Sciences

Gass, Saul I. 55 Linear Programming, Methods and Applications.347

X. Numerical Analysis and Applied Mathematics

Abramowitz, Milton &

Stegun, Irene A.,

Editors

Albasiny, E. L., Bell, R.

J. & Cooper, J. R. A.Bakhvalov, H. C, et al.

Balakrishnan, A. V. &

Neustadt, Lucien W.,

Editors

Beckenbach, Edwin F.,

EditorBellman, Richard &

Kalaba, Robert,

EditorsBowman, Howard S.

Butcher, J. C.

Claassen, R. W. &

Thorne, C. J.

Colbert, Harry M.

Davis, Harold T.

Dodes, Irving Allen &

Greitzer, Samuel L.

Èl'sgol'c, L. È.Fano, Robert M.

Fejes Tóth, L.

Fox, L.Fox, L.Gaier, Dieter

Gass, Saul I.

Hammersley, J. M. &

Handscomb, D. C.

1 Handbook of Mathematical Functions with Formulas,

Graphs, and Mathematic I ables. 147

16

88

99

A Table for the Evaluation of Slater Coefficients and

Integrals of Triple Products of Spherical Harmonics 157

Chislennye melody resheniia differentsial'nylch i inte-

gral'nykh uravnehii i kradraturnye formuly (Numeri-

cal Methods for the Solution of Differential and

Integral Equations and Quadrature Formulas). 513

Computing Methods in Optimization Problems. 520

89 Applied Combinatorial Mathematics. 513

90 Selected Papers on Mathematical Trends in Control

Theory. 514

100 A Nomogram for Computing (a + jb)/(c + jd) and a

Nomogram for Computing | (a 4- jb) \ / \ (c + jd) | . 522

56 Tables of Coefficients for Implicit Runge-Kutta Proc-

esses. 348

21 Steady-State Motion of Cables in Fluids, Part 2, Tables

of Cable Functions for Vertical Plane Motion. 163

91 Asymptotic Expansion for the Characteristic Values

of Mathieu's Equation. 515

131 Tables of the Mathematical Functions. 695

57 Numerical Analysis. 348

58 Qualitative Methods in Mathematical Analysis. 349

79 Transmission of Information, A Statistical Theory of

Communications. 507

24 Regular Figures. 166

40 An Introduction to Numerical Linear Algebra. 337

117 An Introduction to Numerical Linear Algebra. 688

134 Konstruktive Methoden der konformen Abbildung. 699

55 Linear Programming, Methods and Applications. 347

45 Monte Carlo Methods. 340

722 INDEX OF REVIEWS BY SUBJECT

Author Review

Hansen, Arthur G. 84

Henrici, Peter 6

Henrici, Peter 92

Isaacs, Rufus 135

James, M. L., Smith, G. 85M. & Wolford, J. C.

Kovach, Ladis D. 137

Kruglikova, L. 17

Marcus, Marvin & Minc, 3

Henryk

McCormick, John M. &

Salvadori, Mario G.

Meinardus, Günter 93

Metropolis, N., et al. 61

Mitrinovic, D. S. 94Newman, James R. 22

Nielsen, Kaj L. 23

Noble, Ben 136

Title Page

Similarity Analyses of Boundary Value Problems in

Engineering. 511

Error Propagation for Difference Methods. 152

Elements of Numerical Analysis. 516

Differential Games. 700Analog and Digital Computer Methods in Engineering

Analysis. 511Computer-Oriented Mathematics. 702

Tables for Numerical Fourier Transformations. 158

A Survey of Matrix Theory and Matrix Inequalities. .. 150

101 Numerical Methods in FORTRAN. 523

Peschl, Ernst & Bauer, 59

Karl Wilhelm

pontryagin, l. s., 18Boltyanskii, V. G.,

Gamkrelidze, R. V. &

Mischenko, E. F.

Prager, William 138

Rice, John R. 95

Schneider, Hans, Editor ' 77

Schröder, Gerhard 78

Singer, James 96Taub, A. H., General 53

EditorTraub, J. F. 4Tsypkin, Ya. Z. 19Vilenkin, N. Ya. 97

Wilcox, Calvin H., 98

EditorZubov, V. I. 60

Zurmühl, R. 41

Approximation von Funktionen und ihre numerische

Behandlung. 517Experimental Arithmetic, High Speed Computing and

Mathematics. 350

Elementary Inequalities. 517

The Universal Encyclopedia of Mathematics. 164

Methods in Numerical Analysis. 165Numerical Methods, Volume 1, Iteration, Program-

ming and Algebraic Equations; Volume 2, Differ-

ences, Integration and Differential Equations. 701

Über einenichtlineare Differentialgleichung 2. Ordnung,

die bei einem gewissen Abschätzungverfahren eine

besondere Rolle spielt. 349

The Mathematical Theory of Optimal Processes. 159

Introduction to Basic FORTRAN Programming and

Numerical Methods. 702

The Approximation of Functions, Volume 1: Linear

Theory. 518Recent Advances in Matrix Theory. 506

Über die Konvergenz einiger Jacobi-Verfahren zur

Bestimmung der Eigenwerte symmetrischer Matrizen. 507

Elements of Numerical Analysis. 518

John von Neumann, Collected Works, Volume VI. 346

Iterative Methods for the Solution of Equations. 151

Sampling Systems Theory and Its Application. 161

Successive Approximation. 519

Asymptotic Solutions of Differential Equations and

Their Applications. 520

Methods of A. M. Lyapunov and Their Application. .. 349

Matrizen und ihre technischen Anwendungen. 338

Alt, Franz L. &

Rubinoff, Morris,

Editors

Alt, Franz L. &

Z. Calculating Machines and Mechanical Computation

62 Advances in Computers, Vol. 3. 351

102 Advances in Computers, Vol. 5. 523

INDEX OF REVIEWS BY SUBJECTS 723

6399

Author Review

Rubinoff, Morris,

Editors

Andersen, C.

Balakrishnan, A. V. &

Neustadt, Lucien W.,

EditorsBaumann, R., Feliciano,

M., Bauer, F. L. &Samelson, K.

Böhling, Karl-Heinz

Bolliet, L., Gastinel, N.

& Laurent, P. J.Bowman, Howard S.

Burnett-Hall, D. G.,

Dresel, L. A. G. &Samet, P. A.

Cutler, Donald I.

Dodes, Irving Allen

Dubisch, Roy

Froese, Charlotte

Gass, Saul I.

Ginsburg, SeymourGutenmakher, L. I.

Harris, Theodore E.

Huskey, H. D. & Korn,

G. A., EditorsJames, M. L., Smith, G.

M. & Wolford, J. C.

Kovach, Ladis D.

Levine, Leon

Maley, Gerald A. &

Skiko, Edward J.

Mankopf, Jürgen

Richard

McCormick, John M. &

Salvadori, Mario G.

Metropolis, N., et al.

Moore, Edward F.,

Editor

Newell, Allen, et al.

Nickel, Karl

Peschon, John, Editor

Prager, William

Raisbeck, Gordon

Schultz, Louise

Sherman, Philip M.

Stein, Marvin L. &

Title Page

An Introduction to ALGOL 60. 352

Computing Methods in Optimization Problems. 520

25 Introduction to ALGOL. 166

64 Zur Strukturtheorie sequentieller Automaten. 35326 ALGOL. 168

100 A Nomogram for Computing (a + jb)/(c + jd) and a

Nomogram for Computing \ (a + jb)\ /\(c + jd) |.. 522

27 Computer Programming and Autocodes. 168

103 Introduction to Computer Programming. 524

28 IBM 1620 Programming for Science and Mathematics 169

65 Lattices to Logic. 353

104 Introduction to Programming the IBM 1620. 525

55 Linear Programming, Methods and Applications. 347

29 An Introduction to Mathematical Machine Theory.... 169

66 Electronic Information—Logic Machines. 354

67 The Theory of Branching Processes. 355

68 Computer Handbook. 355

85 Analog and Digital Computer Methods in Engineering

Analysis. 511137 Computer-Oriented Mathematics. 702

44 Methods for Solving Engineering Problems Using

Analog Computers. 339

105 Modern Digital Computers. 525

82 Über die periodischen Lösungen der Van der Polschen

Differentialgleichung x + /i(x2 — l)x + x = 0. 509101 Numerical Methods in FORTRAN. 523

61 Experimental Arithmetic, High Speed Computing and

Mathematics. 350

30 Sequential Machines: Selected Papers. 171

69 Information Processing Language-V Manual. 356

70 ALGOL Praktikum. Eine Einführung in das Pro-grammieren . 358

86 Disciplines and Techniques of Systems Control.512

138 Introduction to Basic FORTRAN Programming andNumerical Methods. 702

71 Information Theory, an Introduction for Scientists

and Engineers. 359

31 Digital Processing: A System Orientation. 171

32 Programming and Coding the IBM 709-7090-7094Computers. 172

33 Computer Programming: A Mixed Language Approach 172

724 INDEX OF REVIEWS BY SUBJECTS

Author Review

MpiiBOj William D.

TRdLiikfcit, Lilian & 139WMtMÁNN, Alfred

Wegner, Peter, Editor 106

Wolfowitz, J. 87

WOOLDRIDGE, R. & 34

Ratcliffe, J. F.

Youden,W. W. 140

Applied Mathematics Laboratory

David Taylor ModeLBasin

Washington, D. C.

Title Page

Dictionary of DbW, Processing.703

Introduction M System Programming. 526

Coding Theorems of Information Theory. 512

An Introduction to ALGOL Programming. 173

Computer Literature Bibliography 1946-196S. 704Compiled byHelen P. Smith