VOLUME XXI INDEX OF PAPERS AND TECHNICAL NOTES BY AUTHORS · index of papers and technical notes by authors ... h. to difference sets. 204 ... 754 index of papers and technical notes

VOLUME XXI

INDEX OF PAPERS AND TECHNICAL NOTES BY AUTHORS

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

Author Title Page

Alanen, J., Ore, O. Systematic Computations on Amicable Numbers (N). 242

& Stemple, J.

Ayoub, Raymond G. A Note on the Class Number of Imaginary Quadratic Fields... 442

de Balbine, Guy Note on Random Permutations (N). 710

Ballester, C. On the Construction of Discrete Approximations to Linear Dif-

& Pereyra, V. ferential Expressions. 297

Barnhill, R. E. Quadratures with Remainders of Minimum Norm. 1. 66

& Wixom, J. A.

Barnhill, R. E. Quadratures with Remainders of Minimum Norm. II. 382

& Wixom, J. A.

Bass, L. J. On Finding the Disc of Minimum Radius Containing a Given

& Schubert, S. R. Set of Points (N). 712

Baumert, L. D. The Cyclotomic Numbers of Order Eighteen with Applications

& Fredricksen, H. to Difference Sets. 204

Bennett, Morris M. See: Riley, James D., Bennett, Morris M. & McCormick,

Emily. 12

Bergland, G. D. The Fast Fourier Transform Recursive Equations for Arbitrary

Length Records (N). 236

Bergman, Stefan A Procedure for Conformai Mapping of Triply-Connected Do-

& Chalmers, Bruce mains. 527

Blundon, W. J. See: Jones, M. F., Lal, M. & Blundon, W. J. 103

Bowen, Robert The Generation of Minimal Triangle Graphs (N). 248

Bowen, Robert Generation of Triangulations of the Sphere (N). 250

& Fisk, Stephen

Brillhart, John Some Factorizations of 2" ± 1 and Related Results. 87

& Selfridge, J. L.

Broyden, C. G. Quasi-Newton Methods and Their Application to Function Min-

imisation. 368

Buckholtz, Thomas J. See: Knuth, Donald E. & Buckholtz, Thomas J. 663

Burgoyne, F. D. Practical L" Polynomial Approximation (N). 113

Caslin, James C. See: Fettis, Henry E. & Caslin, James C. 431

Chalmers, Bruce See: Bergman, Stefan & Chalmers, Bruce.. 527

Charmonman, S. An Efficient Algorithm for Inverting a Block-Symmetric Matrix

(N). 715Cody, W. J. Chebyshev Approximations for the Natural Logarithm of the

& Hillstrom, K. E. Gamma Function. 198

Cody, W. J. & Rational Chebyshev Approximations for Fermi-Dirac Integrals

Thacher, Henry C. Jr. of Orders -1/2, 1/2 and 3/2. 30

Cohen, Edward L. On the Sum of the Squares of Two Consecutive Integers. 460

Cohn, Harvey A Numerical Study of Topological Features of Certain Hubert

Fundamental Domains. 76

Conçus, Paul Numerical Solution of the Minimal Surface Equation. 340

Cooper, G. J. A Class of Single-Step Methods for Systems of Nonlinear Dif-

ferential Equations. 597

Davis, Philip J. A Construction of Nonnegative Approximate Quadratures. 578

Day, J. T. A Starting Method for Solving Nonlinear Volterra Integral

Equations. 179

Delves, L. M. & A Numerical Method for Locating the Zeros of an Analytic

Lyness, J. N. Function. 543

753

754 INDEX OF PAPERS AND TECHNICAL NOTES BY AUTHORS

Author

Delves, L. M.

Di Donato, A. R. &

Jarnagin, M. P.Ehrman, John R.

Elliott, David

Fair, Wyman G.

& Luke, Yudell L.

Fairweather, G.

& Gourlay, A. R.

Fettis, Henry E.

Fettis, Henry E. &

Caslin, James C.

Fields, Jerry L.

Fisk, Stephen

Fredricksen, H.

Gargantini, I.

& Henrici, P.

Gary, John

Gear, C. W.Gebhardt, Friedrich

Gourlay, A. R.

Gourlay, A. R.

& Mitchell, A. R.

Greenstadt, John

Haber, Seymour

Haber, Seymour

Henrici, P.

Hillstrom, K. E.

Inoue, Yuji

Jarnagin, M. P.

Jones, M. F., Lal, M.

& Blundon, W. J.

Katsura, Shigetoshi

Kilpatrick, J. E.,

Katsura, Shigetoshi

& Inoue, Yuji

Knuth, Donald E. &

Buckholtz, Thomas J.

Konheim, Alan G. &

Miranker, Willard L.

Kravitz, Sidney

Krogh, Fred T.

Lal, M.

Lal, M.

Lander, L. J.

& Parkin, T. R.

Lander, L. J.

& Parkin, T. R.

Lander, L. J.

& Parkin, T. R.

Lander, L. J.,

Parkin, T. R. &

Selfridge, J. L.

Title Page

See: Lyness, J. N. & Delves, L. M. 561The Efficient Calculation of the Incomplete Beta-Function

Ratio for Half-Integer Values of the Parameters a, b. 652

The Number of Prime Divisors of Certain Mersenne Numbers. 700

Truncation Errors in Padé Approximations to Certain Func-

tions: An Alternative Approach. 398

Rational Approximations to the Incomplete Elliptic Integrals

of the First and Second Kinds. 418

Some Stable Difference Approximations to a Fourth-Order Para-

bolic Partial Differential Equation. 1

More on the Calculation of the Integral I„(b) = (2/ir)

X /S ((sin x)/x)' cos bx dx (N). 727Eigenvalues and Eigenvectors of Hilbert Matrices of Order 3

through 10. 431

Confluent Expansions. 189

See: Bowen, Robert & Fisk, Stephen. 250

See: Baumert, L. D. & Fredricksen, H. 204

A Continued Fraction Algorithm for the Computation of Higher

Transcendental Functions in the Complex Plane. 18

On Convergence Rates for Line Overrelaxation (N ). 220

The Numerical Integration of Ordinary Differential Equations. 146

Generating Pseudo-Random Numbers by Shuffling a Fibonacci-

Sequence (N). 708

See: Fairweather, G. & Gourlay, A. R. 1

Split Operator Methods for Hyperbolic Systems in p Space

Variables. 351

On the Relative Efficiencies of Gradient Methods. 360

A Modified Monte-Carlo Quadrature. II. 388Midpoint Quadrature Formulas (N). 719

See: Gargantini, I. & Henrici, P. 18

See: Cody, W. J. & Hillstrom, K. E. 198

See: Kilpatrick, J. E., Katsura, Shigetoshi & Inoue, Yuji.. 407

See: Di Donato, A. R. & Jarnagin, M. P. 652Statistics on Certain Large Primes (N). 103

See: Kilpatrick, J. E., Katsura, Shigetoshi & Inoue, Yuji. 407

Calculations of Integrals of Products of Bessel Functions. 407

Computation of Tangent, Eider, and Bernoulli Numbers. 663

Numerical Evaluation of Wiener Integrals. 49

See: Shanks, Daniel & Kravitz, Sidney. 97

A Note on the Effect of Conditionally Stable Correctors (N).. . 717

Primes of the Form n4 + 1 (N). 245

See: Jones, M. F., Lal, M. & Blundon, W. J. 103

A Counterexample to Euler's Sum of Powers Conjecture (N)... 101

On First Appearance of Prime Differences (N). 483

Consecutive Primes in Arithmetic Progression (N). 489

A Survey of Equal Sums of Like Powers. 446

INDEX OF PAPERS AND TECHNICAL NOTES BY AUTHORS 755

Author

Langel, R.

Layman, J. W.

Lear, James D.

& Sturm, James E.Leavitt, Jay A.

Lewis, H. R., Jr. &Stovall, E. J., Jr.

Liniger, Werner

Luke, Yudell L.

Lyness, J. N.

Lyness, J. N.& Delves, L. M.

Lyness, J. N.& Ninham, B. W.

McCormick, Emily

McQueary, Charles E.

& Mack, Lawrence R.

Mack, Lawrence R.

Mangad, Moshe

MiRANKER, Willard L.

MiRANKER, Willard L.

& Liniger, Werner

Mitchell, A. R.

Moody, William T.

Murphy, W. D.

Murty, Tadepalli S.

Newbery, A. C. R.

Newman, Morris

Ninham, B. W.

Ore, O.OSBORNE, M. R.

Parkin, Thomas R.

& Shanks, Daniel

Parkin, T. R.

Parkin, T. R.

Parkin, T. R.

Parkin, T. R.

Parlett, Beresford

Pereyra, V.

Rao, Desiraju B.Reichel, Alex

Riley, James D.,

Bennett, Morris M.

& McCormick, Emily

von Rosenberg, Dale U.

Schönheim, J.

Schubert, S. R.

Selfridge, J. L.

Title Page

An Algorithm for Certain Double Sums of Polynomial Series (N) 230

Mixed Algebraic-Exponential Interpolation Using Finite Dif-

ferences (N). 498

An Integral Representation for the Modified Bessel Function of

the Third Kind, Computable for Large, Imaginary Order (N) 496

A Polynomial Approximation Converging in a Lens-Shaped

Region (N). 491

Comments on a Floating-Point Version of Nordsieck's Scheme

for the Numerical Integration of Differential Equations. 157

See: Miranker, Willard L. & Liniger, Werner. 303

See: Fair, Wyman G. & Luke, Yudell L. 418

See: Delves, L. M. & Lyness, J. N. 543

On Numerical Contour Integration Round a Closed Contour... 561

Numerical Quadrature and Asymptotic Expansions. 162

See: Riley, James D., Bennett, Morris M. & McCormick,

Emily. 12

Bessel-Function Integrals Needed for Two Classes of Physical

Problems. 413

See: McQueary, Charles E. & Mack, Lawrence R. 413

Some Limiting Values and Two Error Estimation Procedures for

Power Series Approximations. 423

See: Konheim, Alan G. & Miranker, Willard L. 49

Parallel Methods for the Numerical Integration of Ordinary

Differential Equations. 303

See: Gourlay, A. R. & Mitchell, A. R. 351

Approximations for the Psi (Digamma) Function (N). 112

Numerical Analysis of Boundary Layer Problems in Ordinary

Differential Equations. 583

See: Weil, Joyce, Murty, Tadepalli S. & Rao, Desiraju B. 722

Convergence of Successive Substitution Starting Procedures (N) 489

Note on Partitions Modulo 5 (N). 481

See: Lyness, J. N. & Ninham, B. W. 162

See: Alanen, J., Ore, O. & Stemple, J. 242

Minimising Truncation Error in Finite Difference Approxima-

tions to Ordinary Differential Equations. 133

On the Distribution of Parity in the Partition Function. 466

See: Lander, L. J. & Parkin, T. R. 101



See: Lander, L. J., Parkin, T. R. & Selfridge, J. L. 446

Canonical Decomposition of Hessenberg Matrices (N). 223

See: Ballester, C. & Pereyra, V. 297

See: Weil, Joyce, Murty, Tadepalli S. & Rao, Desiraju B. 722

Error Estimates in Simple Quadrature with Voigt Functions... 647

Numerical Integration of Variational Equations. 12

Numerical Solution for Flux Components in Potential Flow_ 620

Conversion of Modular Numbers to their Mixed Radix Repre-

sentation by a Matrix Formula (N). 253

See: Bass, L. J. & Schubert, S. R. 712

See: Brillhart, John & Selfridge, J. L. 87

756 INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED

Author

Selfridge, J. L.

Shanks, Daniel

Shanks, Daniel

Shanks, Daniel

& Kravitz, Sidney

Shanks, Daniel

Simpson, R. Bruce

Solomon, A.

Spira, Robert

Stemple, J.

Stovall, E. J., Jr.

Sturm, James E.

Tait, R.

Thacher, Henry C, Jr.

Tuck, E. O.Verma, Arun

Verma, Arun

Wagstaff, S. S., Jr.

Weil, Joyce, Murty,

Tadepalli S. &

Rao, Desiraju B.

Willner, Leopold B.

Wimp, Jet

Wixom, J. A.

Wixom, J. A.

Wood, Van E.

Yamaguti, Masaya

Tüle Page

See: Lander, L. J., Parkin, T. R. & Selfridge, J. L. 446

Generalized Euler and Class Numbers. 689

Lai's Constant and Generalizations (N). 705

On the Distribution of Mersenne Divisors (N). 97

See: Parkin, Thomas R. & Shanks, Daniel. 466

A Fundamental Solution for a Biharmonic Finite-Difference-

Operator. 321

A Steady State Phase Change Problem. 355

Zeros of Approximate Functional Approximations. 41

See: Alanen, J., Ore, O. & Stemple, J. 242

See: Lewis, H. R., Jr. & Stovall, E. J., Jr. 157

See: Lear, James D. & Sturm, James E. 496

Error Analysis of Recurrence Equations. 629

See: Cody, W. J. & Thacher, Henry C, Jr. 30

A Simple "Filon-Trapezoidal" Rule (N). 239

A Note on Expansions Involving Meijer's G-Functions (N). 107

A Note on the Summation of the Generilised Hypergeometric

Functions (N). 232

On Sequences of Integers with No 4, or No 5 Numbers in Arith-

metical Progression. 695

Zeros of Jn(\)Yn(v\)— J„(t,X)F„(X). 722

An Elimination Method for Computing the Generalized Inverse

(N). 227The Asymptotic Representation of a Class of 67-Functions for

Large Parameter. 639

See: Barnhill, R. E. & Wixom, J. A. 66

See: Barnhill, R. E. & Wixom, J. A. 382

Chebyshev Expansions for Integrals of the Error Function (N). 494

Some Remarks on the Lax-Wendroff Finite-Difference Scheme

for Nonsymmetric Hyperbolic Systems. 611

INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED

Author

Aizenshtadt, V. S.

Alder, Berni, Editor

Alexander, M. J.

Andrée, Richard V.

Andrew, Alex M.

Ashworth, Margaret

Asplund, S. O.

Atkin, A. O. L.

Ballester, C.

Bark, L. S.

Barnhill, R. E.

Barton, D. E.

Baumert, L. D.

Bellman, R. E.

Berkeley, Edmund C, Editor

Blundon, W. J.

Bobrow, Daniel G., Editor

Bol'shev, L. N.

Buckholtz, T. J.

Review Number Table Classification Page

35 [L, X] 27470 [P, S, X, Z] 51160 [K] 50380 [X, Z] 5203 [I] 1171 [F] 116

42 [P, X] 2821 [F] 116

77 [X] 51728 [K, L] 26769 [M, X] 51029 [K, X] 26921 [F, G] 2627 [P, Q, S, X, Z] 121

78 [X, Z] 51820 [F] 26278 [X, Z] 51828 [K, L] 267

85 [F, J] 731

INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED

Author Review Number Table Classification

Bukhman, V. Ye. 44

Busacker, Robert G. 11

Caslin, James C. 25

Caslin, James C. 33

Caslin, James C. 34

Caslin, James C. 64

Caslin, James C. 65

Caslin, James C. 91

Cater, Frank S. 58

Ceschino, F. 49

Chang, Ch. 92

Cherenkov, A. P. 28

Clenshaw, C. W. 67

Computer Usage Company, The Staff 82

of, Ascher Opler, Editor

Conte, S. D. 73David, F. N. 29

Denman, Harry H. 47

Diehl, L. G. 19

DiTKiN, V. A., Editor 36

Dynkin, E. B. 5

Ekman, Torgil 79

Farina, Mario V. 83Fellinger, Robert C. 40

Fernbach, Sidney, Editor 70

Fettis, Henry E. 25Fettis, Henry E. 33

Fettis, Henry E. 34

Fettis, Henry E. 64

Fettis, Henry E. 65Fettis, Henry E. 91

Ficken, F. A. 87

Filippov, Yu. A. 26

Flores, Ivan 53

Fredricksen, H. 21

Fröberg, Carl-Erik 79

Garabedian, Henry L., Editor 74

George, F. H. 54

Golde, Hellmut 45

Greenberger, Martin 81

Grove, Wendell E. 9

Halanay, A. 43

Handscomb, D. C, Editor 99

Hartley, H. O., Editor 32

Heller, Wilfried 47

Hermes, H. 15

Hestenes, M. R. 94

Hull, T. E. 101

Hunter, H. E. 37

Inoue, Yuji 27

Ireson, W. Grant, Editor 61

Isaacson, Eugene 76

Jansson, Birger 22

Jarnagin, Milton P., Jr. 97

Johnson, Lynwood A. 71

Johnson, N. L. 75

[P, X, Z][X][I,L][L]

[L, M][L][L][L][G, H, X][X][L,X][K, LJ[L]m

[X][K, X](S, X][F][L,X][K, S, X][X, Z][Z][P, T, V][P, S, X, Z][I,L][L]IL, M][L]IL][L][G, H, X![I, L][X, Z][F, G][X, Z][X][X, Z][P, Zl

[Z][P, X][P,X][X|[K,X][S, X][X, Z]IP, X][X, Z][L, XI[I, M][K, P, W, X][X][F, K, X, Z][Q][P, W, X][X]

Page

283123264273274507508736502287

737267509521

514269286260

275119519521281511264273274

507508736733265291262519515291284520122

282743271286-127

739744276267504517263

741512517

758 INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED

Author Review Number Table Classification Page

Jones, M. F. 20 [F] 262Jones, Malcolm 81 [Z] 520

Jordan, J. H. 19 [F] 260Kalaba, R. E. 7 [P, Q, S, X, Z] 121Kalmár, László, Editor 41 [P, W, X, Z] 281Karmazina, L. N. 66 [L] 508Katsura, Shigetoshi 23 [G, S] 263

Katsura, Shigetoshi 27 [I, M] 267

Keilson, J. 63 [K, X] 506Keller, Herbert Bishop 76 [X] 517

Kendall, M. G. 29 [K, X] 269

Kilpatrick, J. E. 27 [I, M] 267Kirk, D. B. 37 [L, X] 276Knuth, D. E. 85 [F, J] 731Kobrinskii, N. E. 10 [P, X, Z] 122Korganoff, André 88 [G, H, X] 733

Korobochkin, B. I. 26 [I, L] 265

KruglÍak, Y. A. 68 [L, M, T] 510Krylov, V. I. 35 [L, X] 274Kuntzmann, J. 49 [X] 287Kuznetsov, P. I. 28 [K, L] 267Lal, M. 17 [A, F] 258Lal, M. 20 [F] 262Lal, M. 84 [A, F] 731Leondes, C. T. 95 [P, X] 739Lloyd, Daniel B. 2 [F, G] 117

Love, Carl H. 93 [M, X] 738Mangulis, V. 4 [J, L, P, X] 118Metel'skiï, A. S. 35 [L, X] 274

Meyer, Paul A. 30 [K, X] 270Mitrinovic, D. S. 24 [I] 264Mitrinovic, R. S. 24 [I] 264Mitropol'skiï, Aristarkh 31 [K, X] 271

Konstantinovich

Moiseiwitsch, B. L. 46 [S] 284Morris, James H., Je. 81 [Z] 520

Nemchinov, V. S., Editor 48 [W, X] 286

Ness, David N. 81 [Z] 520von Neumann, John 102 [Z] 745

Noble, Ben 89 [H, K, M, P, Q, S, T, V, W, X, Z] 734Nosova, L. N. 38 [L, X] 277Ondrejka, Rudolph 16 [A] 258

Ondrejka, Rudolph 57 [A, K] 502

Osipova, L. N. 6 [L] 120Ostrowski, A. M. 86 [G, H, I, M, X] 732Pangonis, William J. 47 [S, X] 286

Pavel-Parvu, Monica 88 [G, H, X] 733

Pearson, E. S., Editor 32 [K, X] 271Pearson, Jerry Dean 40 [P, T, V] 281

Pereyra, V. 77 [X] 517

Petrovski, I. G. 50 [X] 289

Picken, Susan M. 67 [L] 509

Pipes, Louis A. 8 [P, S, X] 121Polozhii, G. N. 12 [X] 123

INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED 759

Author

Price, James F.

Radanovic, L., Editor

Rotenberg, Manuel, Editor

Rubinstein, Moshe F.

Saaty, Thomas L.

Scarborough, James B.

Schütte, Karl

Secrest, Don

Senior, T. B. A.Shubik, Martin, Editor

Sibuya, Masaaki

Singh, Jagjit

Smythe, William R., Jr.

Stroud, A. H.Stuart, Frederic

Takahashi, Köki

Tölke, F.

Trakhtenbrot, B. A.

tumarkin, s. a.Visapää, Asko

Vok, C. A.VOLYNSKIÏ, B. A.

Wachspress, Eugene L.

Wendroff, Burton

White, Paul A.

Whitman, D. R.

Wilkes, M. V.

Wittenberg, E. R.

Wixom, J. A.Yeh, C.

Zhurina, M. I.

Zhurina, M. I.

Review Number Table Classification Page

13 [X] 12462 [K, P, X] 50670 [P, S, X, Z] 51196 [P, X, Z] 74011 [X] 12351 [X] 29056 [A-F, H, I, K-N, P-Y, X, Z] 50114 [X] 12537 [L, X] 276

98 [W] 74218 [B, K] 259

103 [Z] 74571 [P, W, X] 51214 [X] 12555 [X, Z] 29218 [B, K] 259

39 [L, X] 28010 [P, X, Z] 12238 [L, X] 27772 [X] 51460 [K] 50344 [P, X, Z] 28390 [H, P, S, X] 73552 [X] 29059 [G, H, X] 50368 [L, M, T] 510

100 [X] 744

37 [L, X] 27669 [M, XI 51092 [L, X] 7376 [L] 120

66 [L] 50&

INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED

A. Arithmetical Tables, Mathematical Constants

Author

Lal, M

Lal, M.

Ondrejka, Rudolph

Ondrejka, Rudolph

Schütte, Karl

Schütte, Karl

Takahashi, Köki &

Sibuya, Masaaki

Schütte, Karl

Review

17841657

56

56

18

56

Title Page

Expansion of V2 to 19600 Decimals. 25&Expansion of V 3 to 19600 Decimals. 731

The First 100 Exact Double Factorials. 258

The First 100 Exact Subfactorials . 502

Index Mathematischer Tafelwerke und Tabellen (Index

of Mathematical Tables). 501

B. Powers


of Mathematical Tables). 501The Decimal and Octal Digits of -Jn. 259-

C. Logarithms



760 INDEX OF REVIEWS BY SUBJECT OF WORK REVIEWED

Author Review Title Page

D. Circular Functions

Schütte, Karl 56 Index Mathematischer Tafelwerke und Tabellen (Index


E. Hyperbolic and Exponential Functions

Schtüte, Karl 56 Index Mathematischer Tafelwerke und Tabellen (Index


F. Theory of Numbers

Ashworth, Margaret & 1 Tables of Pk(n). 116

Atkin, A. O. L.

Baumert, L. D. & 21 The Cyclotomic Numbers of Order Eighteen. 262

Fredricksen, H.

Diehl, L. G. & 19 A Table of Gaussian Primes. 260

Jordan, J. H.

Jansson, Birger 22 Random Number Generators. 263

Jones, M. F., Lal, M. & 20 Table of Primes. 262Blundon, W. J.

Knuth, D. E. & 85 Tables of Tangent Numbers, Euler Numbers, and Ber-

Buckholtz, T. J. noulli Numbers. 731

Lal, M. 17 Expansion of V 2 to 19600 Decimals. 258

Lal, M. 84 Expansion of V3 to 19600 Decimals. 731Lloyd, Daniel B. 2 "The use of finite polynomial rings in the factoriza-

tion of the general polynomial". 117

Schütte, Karl 56 Index Mathemalischer Tafelwerke und Tabelen (Index


G. Higher Algebra

Baumert, L. D. & 21 The Cyclotomic Numbers of Order Eighteen. 262Fredricksen, H.

Cater, Frank S. 58 Lectures on Real and Complex Vector Spaces. 502

Ficken, F. A. 87 Linear Transformations and Matrices. 733

Katsura, Shigetoshi 23 Tables of Representations of Permutation Groups for

the Many Electron Problem. 263

Korganoff, André & 88 Eléments de Théorie des Matrices Carrées et Rectangles

Pavel-Parvu, Monica en Analyse Numérique. 733

Lloyd, Daniel B. 2 "The use of finite polynomial rings in the factoriza-

tion of the general polynomial". 117

Ostrowski, A. M. 86 Solutions of Equations and Systems of Equations. 732

White, Paul A. 59 Linear Algebra. 503

H. Numerical Solution of Equations

Cater, Frank S. 58 Lectures on Real and Complex Vector Spaces. 502

Ficken, F. A. 87 Linear Transformations and Matrices. 733

Korganoff, André & 88 Eléments de Théorie des Matrices Carrées et Rectangles

Pavel-Parvu, Monica en Analyse Numérique. 403

Noble, Ben 89 Applications of Undergraduate Mathematics in Engi-

neering. 734

Ostrowski, A. M. 86 Solutions of Equations and Systems of Equations.732



Wachspress, Eugene L. 90 Iterative Solution of Elliptic Systems and Applications

to the Neutron Diffusion Equations of Reactor

Physics. 735White, Paul A. 59 Linear Algebra. 503


Author Review Title

I. Finite Differences, Interpolation

Page

Andrew, Alex M. 3

Fettis, Henry E. & 25Caslin, James C.

Kilpatrick, J. E., Katsura,

Shigetoshi & Inoue, Yuji

Korobochkin, B. I. &

Filippov, Yu. A.

Mitrinovic, D. S. &Mitrinovic, R. S.

Ostrowski, A. M.

Schütte, Karl

Table of the Stirling Numbers of the Second Kind. 117

Ten Place Tables of the Jacobian Elliptic Functions. . . 264

27 Tables of Integrals of Products of Bessel Functions.... 267

26

24

8650

Knuth, D. E. & 85Buckholtz, T. J.

Mangulis, V.

Tablitsy Modifitsirovannykh Funktsil Uittekera (Tables

of Modified Whittaker Functions). 265Tableaux d'Une Classe de Nombres Reliés aux Nombres

de Stirling. 264

Solutions of Equations and Systems of Equations.732



J. Summation of Series

Tables of Tangent Numbers, Euler Numbers, and Ber-

noulli Numbers. 731

4 Handbook of Series for Scientists and Engineers. 118

Alexander, M. J. & 60

Vok, C. A.

Bark, L. S., Bol'shev, L. N., 28

Kuznetsov, P. I. &

Öherenkov, A. P.

David, F. N., Kendall, 29

M. G. & Barton, D. E.Dynkin, E. B. 5

Ireson, W. Grant, Editor 61Jansson, Birger 22Keilson, J. 63

Mitropol'skiï, Aristarkh 31

Konstantinovich

Meyer, Paul A. 30

Noble, Ben 89

Ondrejka, Rudolph 57

Pearson, E. S. & 32

Hartley, H. O., Editors

Radanovic, L., Editor 62

Schutte, Karl 56

Takahashi, Koki & 18

Sibuya, Masaaki

K. Statistics

Tables of the Cumulative Distribution of Sample Mul-

tiple Coherence. 503

Tablitsy Raspredeleniîà Releià-Raïsa (Tables of theRayleigh-Rice Distribution). 267

Symmetric Function and Allied Tables. 269

Markov Processes. 119

Reliability Handbook. 504

Random Number Generators. 263

Green's Function Methods in Probability Theory. 506

Correlation Equations for Statistical Computations. 271

Probability and Potentials. 270

Applications of Undergraduate Mathematics in Engi-

neering. 734

The First 100 Exact Subfaclorials. 502

Biometrika Tables for Statisticians. 271

Sensitivity Methods in Control Theory. 506



The Decimal and Octal Digits of i]n. 259

L. Higher Mathematical Functions

Aizenshtadt, V. S., Krylov,

V. I. & Metel'skii, A. S.Bark, L. S., Bol'shev, L. N., 28

Kuznetsov, P. I. &

Cherenkov, A. P.

Chang, C. & Yeh, C. 92

Clenshaw, C. W. & 67

Picken, Susan M.

Ditkin, V. A., Editor 36

35 Tables of Laguerre Polynomials and Functions.274

Tablitsy Raspredeleniîà Releîà-Ràisa (Tables of theRayleigh-Rice Distribution). 267

The Radial Prolate Spheroidal Functions. 737

Chebyshev Series for Bessel Functions of Fractional

Order. 509

Tables of Incomplete Cylindrical Functions. 275


Author Review



Fettis, Henry E. & 34

Caslin, James C.




Hunter, H. E., Kirk, D. B., 37Senior, T. B. A. &Wittenberg, E. R.

Korobochkin, B. I. & 26

Filippov, Yu. A.

Kruglîak, Y. A. & 68

Whitman, D. R.

Mangulis, V. 4

Nosova, L. N. & 38tumarkin, s. a.

Schütte, Karl 56

Tölke, F. 39

Zhurina, M. I. & 66

Karmazina, L. N.

Zhurina, M. I. & 6

Osipova, L. N.

Barnhill, R. E. & 69

Wixom, J. A.Fettis, Henry E. & 34

Caslin, James C.

Kilpatrick, J. E., Katsura, 27

Shigetoshi & Inoue, Yuji

Kruglîak, Y. A. & 68

Whitman, D. R.

Love, Carl H. 93

Noble, Ben 89

Ostrowski, A. M. 86

Schütte, Karl 56

N.

Schütte, Karl 56

Alder, Berni, Fernbach, 70

Title Page

Ten Place Tables of the Jacobian Elliptic Functions. . . 264

Ten Place Tables of the Jacobian Elliptic Functions. II

Theta Functions and Conversion Factors. 273

Elliptic Integral of the Third Kind. 274

An Extended Table of Zeros of Cross Products of Bessel

Functions. 507

Jacobian Elliptic Functions for Complex Arguments . . 508

Tables of the Modified Bessel Functions Io(x), I\(x),

e-tltix), and e-*Ii(x). 736

Tables of Prolate Spheroidal Functions for m = 0. 276

Tablitsy Modifitsirovannykh Funktsii Uittekera (Tables

of Modified Whittaker Functions). 265Tablitsy Inlegralov Kvantovoi Khimiï (Tables of

Quantum Chemistry Integrals). 510

Handbook of Series for Scientists and Engineers. 118

Tables of Generalized Airy Functions for the Asymptotic

Solution of the Differential Equation t(py')' +

(q + er)y = /. 277



Praktische Funktionenlehre, Band II: Theta-Funklionen

und spezielle Weierstrasssche Funktionen. 280

Tables and Formulae for the Spherical Functions

P-U2+ir(z). 508

Tablitsy Vyrozhdennoy Gipergeometricheskoy Funktsii

(Tables of the Conñuent Hypergeometric Function)... 120

M. Integrals

Tables Related to Quadratures with Remainders of Min-

imum Norm. 1. 510

Elliptic Integral of the Third Kind. 274

Tables of Integrals of Products of Bessel Functions.... 267

Tablitsy Integralov Kvantovoi Khimii (Tables of Quan-

tum Chemistry Integrals). 510

Abscissas and Weights for Gaussian Quadrature For

N = 2 to 100, and N = 125, 150, 175, 200. 738Applications of Undergraduate Mathematics in Engi-

neering. 734

Solutions of Equations and Systems of Equations.732



Interest and Investment

Index Mathemalischer Tafelwerke und Tabellen (Index


P. Engineering

Methods in Computational Physics: Advances in Re-


Author

Sidney & Rotenberg,

Manuel, Editors

Asplund, S. O.

Bellman, R. E. &

Kalaba, R. E.

Golde, Hellmut

Grove, Wendell E.

Halanay, A.

Hestenes, M. R.

Ireson, W. Grant, Editor

Kálmár, László, Editor

Kobrinskii, N. E. &

Trakhtenbrot, B. A.

Leondes, C. T., Editor

Mangulis, V.

Noble, Ben

Pearson, Jerry Dean &

Fellinger, Robert C.

Pipes, Louis A.

Radanovic, L., Editor


Schütte, Karl

Review

42

7

459

43

94

6141

10

954

89

40

862

9656

71Smythe, William R., Jr. &

Johnson, Lynwood A.

Volynskiï, B. A. & 44

Bukhman, V. Ye.

Wachspress, Eugene L. 90

Bellman, R. E. & 7

Kalaba, R. E.

Jarnagin, Milton P., Jr. 97

Noble, Ben 89

Schütte, Karl 56

Schütte, Karl 56

Title Page

search and Applications, Vol. 5: Nuclear Particle

Kinematics. 511

Structural Mechanics: Classical and Matrix Methods. . 282

Quasilinearization & Nonlinear Boundary-Value Prob-

lems . 121

Fortran II and TV for Engineers and Scientists. 284

Brief Numerical Methods. 122

Differential Equations: Stability, Oscillations, Time

Lags. 282

Calculus of Variations and Optimal Control Theory_ 739

Reliability Handbook. 504

Colloque Sur les Fondements des Mathématiques, les

Machines Mathématiques, et Leurs Applications.... 281

Introduction to the Theory of Finite Automata. 122

Advances in Control Systems, Vol. 3 and 4. 739



neering. 734

Thermodynamic Properties of Combustion Gases. 281

Operational Methods in Nonlinear Mechanics. 121


Matrix Computer Analysis of Structures. 740



Introduction to Linear Programming, with Applications 512

Analogues for the Solution of Boundary-Value Prob-

lems. 283

Iterative Solution of Elliptic Systems and Applications

to the Neutron Diffusion Equations of Reactor Physics 735

Q. Astronomy


lems . 121

Expansions in Elliptic Motion. 741

Applications of Undergraduate Mathematics in En-

gineering . 734

Index Mathemalischer Tafelwerke und Tabellen (Index


R. Geodesy



S.

Alder, Berni, Fernbach,

Sidney & Rotenberg,

Manuel, Editors

Bellman, R. E. &

Kalaba, R. E.

Denman, Harry H., Heller,

Wilfried & Pangonis,

William J.

Physics, Geophysics, Crystallography

70 Methods in Computational Physics: Advances in Re-


Kinematics. 511

7 Quasilinearization & Nonlinear Boundary-Value Prob-

lems . 121

47 Angular Scattering Functions for Spheres. 286


Author Review Title Page

Dynkin, E. B. 5 Markov Processes, Vols. I and II. 119

Katsura, Shigetoshi 23 Tables of Representations of Permutation Groups for

the Many Electron Problems. 263

Moiseiwitsch, B. L. 46 Varialional Principles. 284


neering. 734

Pipes, Louis A. 8 Operational Methods in Nonlinear Mechanics. 121



Wachspress, Eugene L. 90 Iterative Solution of Elliptic Systems and Applications

to the Neutron Diffusion Equations of Reactor Physics 735

T. Chemistry

Krugliak, Y. A. & 68 Tablitsy Integralov Kvantovoi Knimii (Tables ofQuan-

Whitman, D. R. turn Chemistry Integrals). 510


neering . 734

Pearson, Jerry Dean & 40 Thermodynamic Properties of Combustion Gases. 281




U. Navigation



V. Aerodynamics, Hydrodynamics, Ballistics


neering. 734

Pearson, Jerry Dean & 40 Thermodynamic Properties of Combustion Gases. 281


Schutte, Karl 56 Index Mathematischer Tafelwerke und Tabellen (Index


W. Economics and Social Sciences

Ireson, W. Grant, Editor 61 Reliability Handbook. 504

Kalmár, LászlÓ, Editor 41 Colloque Sur les Fondements des Mathématiques, les


Nemchinov, V. S., Editor 48 The Use of Mathematics in Economics. 286


neering. 734

Shubik, Martin, Editor 98 Essays in Mathematical Economics. 742

Smythe, William R., Jr. & 71 Introduction to Linear Programming, with Applications 512

Johnson, Lynwood A.

X. Numerical Analysis and Applied Mathematics

Aizenshtadt, V. S., Krylov, 35 Tables of Laguerre Polynomials and Functions. 274

V. I. & Metel'skiï, A. S.

Alder, Berni, Fernbach, 70 Methods in Computational Physics: Advances in Re-

Sidney & Rotenberg, search and Applications, Vol. 5: Nuclear Particle

Manuel, Editors Kinematics. 511

Andrée, Richard V. 80 Computer Programming and Related Mathematics. 520

Asplund, S. O. 42 Structural Mechanics: Classical and Matrix Methods. . 282

Ballester, C. & Pereyra, V. 77 Supplement to Bickley's Table for Numerical Differen-

tiation . 517


Author

Barnhill, R. E. &

Wixom, J. A.

Bellman, R. E. &

Kalaba, R. E.

Berkeley, Edmund C. &

Bobrow, Daniel G.,

Editors

Busacker, Robert G. &

Saaty, Thomas L.

Cater, Frank S.

Ceschino, F. &

KUNTZMANN, J.

Chang, C. & Yeh, C.

Conte, S. D.

David, F. N., Kendall,

M. G. & Barton, D. E.Denman, Harry H.,

Heller, Wilfried &

Pangonis, William J.

Ditkin, V. A., Editor

Dynkin, E. B.

Ekman, Torgil &

Fröberg, Carl-Erik

Ficken, F. A.

Flores, Ivan

Garabedian, Henry L.,

Editor

George, F. H.

Grove, Wendell E.

Halanay, A.

Handscomb, D. C, Editor

Hermes, H.

Hestenes, M. R.

Hull, T. E.

Hunter, H. E., Kirk, D. B.,

Senior, T. B. A. &

Wittenberg, E. R.

Ireson, W. Grant, Editor

Isaacson, Eugene &

Keller, Herbert Bishop

Jansson, Birger

Johnson, N. L.

Kalmár, László, Editor

Keilson, J.

Kobrinskii, N. E. &

Trakhtenbrot, B. A.

Korganoff, André &

Pavel-Parvu, Monica

Leondes, C. T., Editor

Love, Carl H.

Review Title Page

69 Tables Related to Quadratures with Remainders of

Minimum Norm. 1. 510

7 Quasilinearization & Nonlinear Boundary-Value Prob-

lems. 121

78 The Programming Language LISP: Its Operation and

Applications. 518

11 Finite Graphs and Networks, An Introduction with Ap-

plications. 123

58 Lectures on Real and Complex Vector Spaces. 502

49 Numerical Solution of Initial Value Problems. 287

92 The Radial Prolate Spheroidal Functions. 737

73 Elementary Numerical Analysis: An Algorithmic Ap-

proach . 514

29 Symmetric Function and Allied Tables. 269

47 Angular Scattering Functions for Spheres. 286

36 Tables of Incomplete Cylindrical Functions. 275

5 Markov Processes. 119

79 Introduction to ALGOL Programming. 519

87 Linear Transformations and Matrices. 733

53 Computer Software, Programming Systems for Digital

Computers. 291

74 Approximation of Functions. 515

54 An Introduction to Digital Computing. 291

9 Brief Numerical Methods. 122

43 Differential Equations: Stability, Oscillations, TimeLags. 282

99 Methods of Numerical Approximation. 743

15 Enumerability, Decidability, Computability. 127

94 Calculus of Variations and Optimal Control Theory.... 739

101 Introduction to Computing. 744

37 Tables of Prolate Spheroidal Functions for m = 0... . 276

61 Reliability Handbook. 50476 Analysis of Numerical Methods. 517

22 Random Number Generators. 263

75 Tables to Facilitate Fitting Su Frequency Curves. 517

41 Colloque Sur les Fondements des Mathématiques, les


63 Green's Function Methods in Probability Theory. 506

10 Introduction to the Theory of Finite Automata. 122

88 Éléments de Théorie des Matrices Carees et Rectangles

en Analyse Numérique. 733

95 Advances in Control Systems, Vol. 3 and 4. 739

93 Abscissas and Weights for Gaussian Quadrature For

N = 2 to 100, and N = 125, 150, 175, 200. 738


Author Review

Mangulis, V. 4

Meyer, Paul A. 30

Mitropol'skiï, Aristarkh 31

Konstantinovich

Nemchinov, V. S., Editor 48

Noble, Ben 89

Nosova, L. N. & 38TUMARKIN, S. A.

Ostrowski, A. M. 86

Pearson, E. S. & 32

Hartley, H. O., Editors

Petrovski, I. G. 50

Pipes, Louis A. 8

Polozhii, G. N. 12

Price, James F. 13

Radanovic, L., Editor 62

Rubinstein, Moshe F. 96

Scarborough, James B. 51

Schütte, Karl 56

Smythe, William R., Jr. & 71

Johnson, Lynwood A.

Stroud, A. H. & 14

Secrest, Don

Stuart, Frederic 55

Tölke, F. 39

Visapää, Asko 72

Volynskiï, B. A. & 44

Bukhman, V. Ye.

Wachspress, Eugene L. 90

Wendroff, Burton 52

White, Paul A. 59

Wilkes, M. V. 100

Title Page


Probability and Potentials. 270

Correlation Equations for Statistical Computations. 271

The Use of Mathematics in Economics. 286


neering. 734

Tables of Generalized Airy Functions for the Asymptotic

Solution of the Differential Equation e(py')' +

(q + <r)V = f. 277Solutions of Equations and Systems of Equations.732

Biometrika Tables for Statisticians. 271

Ordinary Differential Equations. 289

Operational Methods in Nonlinear Mechanics. 121

The Method of Summary Representation for Numerical

Solution of Problems of Mathematical Physics. 123

Numerical Analysis and Related Literature for Scien-

tific Computer Users. 124


Matrix Computer Analysis of Structures. 740

Numerical Mathematical Analysis. 290



Introduction to Linear Programming, with Applications 512

Gaussian Quadrature Formulas. 125

Introductory Computer Programming. 292

Praktische Funktionenlehre, Band II: Theta-Funktionen

und spezielle Weierstrasssche Funktionen. 280

A Procedure for Finding the Coefficients of the Best Fit-

ting Second and Third Degree Polynomials by Appli-

cation of the Method of Least Squares. 514

Analogues for the Solution of Boundary-Value Problems 283

Iterative Solution of Elliptic Systems and Applications

to the Neutron Diffusion Equation of Reactor Physics 735

Theoretical Numerical Analysis. 290

Linear Algebra. 503

A Short Introduction to Numerical Analysis. 744

Alder, Berni, Fernbach,

Sidney & Rotenberg,

Manuel, Editors

Andrée, Richard V.

Bellman, R. E. &

Kalaba, R. E.

Berkeley, Edmund C. &

Bobrow, Daniel G.,

Editors

Computer Usage Company,

The Staff of, Ascher

Opler, Editor

Z. Calculating Machines and Mechanical Computation

Methods in Computational Physics: Advances in Re-


Kinematics. 511

Computer Programming and Related Mathematics. 520


lems . 121

The Programming Language LISP: Its Operation and

Applications. 518

70

80

7

78

82 Programming the IBM System/360. 521

INDEX OF CORRIGENDA 767

Author

Ekman, Torgil &

Fröberg, Carl-Erik

Farina, Mario V.

Flores, Ivan

George, F. H.Golde, Hellmut

Greenberger, Martin,

Jones, Malcolm,

Morris, James H., Jr.

& Ness, David N.

Hermes, H.

Hull, T. E.

Jansson, Birger

Kalmár, László, Editor

Kobrinskiï, N. E. &

Trakhtenbrot, B. A.

von Neumann, John

Noble, Ben


Schütte, Karl

Singh, Jagjit

Stuart, Frederic

volynskii, b. a. &Bukhman, V. Ye.

Review Title

79 Introduction to Algol Programming.

Page

. 519

83 Fortran IV Self-Taught. 52153 Computer Software, Programming Systems for Digital

Computers. 291

54 An Introduction to Digital Computing. 291

45 Fortran II and IV for Engineers and Scientists. 284

81 On-Line Computation and Simulation: The OPS-3

System. 520

15 Enumerabilily, Decidability, Computability. 127

101 Introduction to Computing. 744

22 Random Number Generators. 263

41 Colloque Sur les Fondements des Mathématiques, les


10 Introduction to the Theory of Finite Automata. 122

102 Theory of Self-Reproducing Automata. 74589 Applications of Undergraduate Mathematics in Engi-

neering. 734

96 Matrix Computer Analysis of Structures. 740

56 Index Mathematischer Tafelwerke und Tabellen (Index

of Mathematical Tables). 501103 Great Ideas in Information Theory, Language and

Cybernetics. 745

55 Introductory Computer Programming. 292

44 Analogues for the Solution of Boundary-Value Prob-

lems . 283

INDEX OF TABLE ERRATA

No.

406

407411

415409408

412

416405

413

414

417410

Author

Abramowitz, Milton &

Stegun, Irene A., Editors

Beyer, William H., Editor

Gradshteyn, I. S. &

Ryzhik, I. M.

Henderson, F. M.

Jolley, L. B. W.

McLachlan, N. W.,

Humbert, P. & Poli, L.

Magnus, W. &Oberhettinger, F.

Magnus, W. &Oberhettinger, F.

Mangulis, V.

NBS Applied Mathematics

Series, No. 48

Title Page

Handbook of Mathematical Functions with Formulas,

Graphs, and Mathematical Tables. 128" 293

523

747Handbook of Tables for Probability and Statistics. 294

Table of Integrals, Series, and Products. 293

Elliptic Functions with Complex Arguments. 523

Summation of Series. 747

Supplement au Formulaire pour le Calcul Symbolique.. 128

Formulas and Theorems for the Special Functions of

Mathematical Physics. 523

Formeln und Sätze für die Speziellen Funktionen der

Mathemalischen Physik. 524

Handbook of Series for Scientists and Engineers.750

Fractional Factorial Experiment Designs for Factors at

Two Levels. 295

Author

Billingsley, Patrick

INDEX OF CORRIGENDA

Title

Ergodic Theory and Information.

Page

. 130

768 INDEX OF NOTES

Author Title Page

Brillhart, John & "Some factorizations of 2" + 1 and related results".. 751

Selfridge, J. L.

Cody, W. J. & "Rational Chebyshev approximations for Fermi-Dirac

Thacher, Henry C, Jr. integrals of orders — i, \ and f". 525

Lander, L. J. & Parkin, T. R. "Equal sums of biquadrates". 296

Petryshyn, W. V. "On the extrapolated Jacobi or simultaneous displace-

ments method in the solution of matrix and oper-

ator equations". 296

Thompson, Rory "Evaluation of In(b) = liT1 Jo ((sin x)/x)n cos(bx)dx

and of similar integrals". 130

Wrench, John W., Jr. & "Questions concerning Khintchine's constant and the

Shanks, Daniel efficient computation of regular continued fractions" 130

INDEX OF NOTES

Page

New Journal Journal of Mathematical Sciences. 131

List of Errata Handbook of Mathematical Functions with Formulas, Graphs and Mathe-

matical Tables, edited by M. Abramowitz and L. A. Stegun. 131

New Journal English Translation of the Siberian Mathematical Journal. 525

New Journal Journal of Engineering Mathematics. 525

New Journal Journal of Economic Computation and Economic Cybernetics Studies and

Research. 752

New Journal English Translation of Acta Mechanica Sinica. 752

Documents

VOLUME XXI INDEX OF PAPERS AND TECHNICAL NOTES BY AUTHORS · index of papers and technical notes by authors ... h. to difference sets. 204 ... 754 index of papers and technical notes