volume xvii author index...stancu, d. d. evaluation of the remainder term in approximation formulas...

VOLUME XVII

AUTHOR INDEX

Papers and Technical Notes

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

Author Title Page

Batten, George W., Jr. Second-order correct boundary conditions for the numerical

solution of the mixed boundary problem for parabolic

equations. 405

Bellman, Richard, Polynomial approximation—a new computational technique

Kalaba, Robert, & in dynamic programming: allocation processes. 155

Kotkin, Bella

Bramble, James H. Fourth-order finite difference analogues of the Dirichlet prob-

lem for Poisson's equation in three and four dimensions... 217

Brillhart, John Some miscellaneous factorizations (N). 447

Burgoyne, F. D. The non-existence of certain Laguerre-Chebyshev quadrature

formulas (N). 196

Burgoyne, F. D. Approximations to Kelvin functions (N). 295

Burgoyne, F. D. Quadrature formulas over infinite intervals in terms of differ-

ences (N). 298Cavior, S. R. A note on octic permutation polynomials (N). 450

rConçus, P., Cassatt, D., Tables for the evaluation of I xße~xf (x) dx by Gauss-Laguerre

Jaehnig,G., &Melby, Jo

E. quadrature. 245

Daly, Bart J. The stability properties of a coupled pair of non-linear partial

difference equations. 346

Day, J. T. A Gaussian quadrature method for the numerical solution of

the characteristic initial value problem uxy = f(x, y, u) (N).. 438

Descloux, J. Note on the round-off errors in iterative processes. 18

Douglas, Jim, Jr., & Two high-order correct difference analogues for the equation

Gunn, James E. of multidimensional heat flow. 71

Douglas, J., Jr., Kel- Alternating direction iteration methods for n space variables

logg, R. B. & Varga, (N). 279

R. S.dl,(z) 1

Erber, Thomas & Gor- Tabulation of the Functions-, v = ±-. 162

don, Alan "

Franklin, Joel N. Deterministic simulation of random processes. 28

Ginsberg, F. On the Cauchy problem for the one-dimensional heat equa-

tion. 257

Golub, Gene H On a lower bound for the rank of a partitioned square matrix

(N). 186Grace, Donald W. Search for largest polyhedra (N). 197

Johnson, Selmer M. Generation of permutations by adjacent transposition (N)... 282

Keller, H. B. & Swen- Experiments on the lattice problem of Gauss. 223

son, J. R.LaBudde, C. Donald The reduction of an arbitrary real square matrix to tri-diagonal

form using similarity transformations (N). 433

Luke, Y. L. & Wimp, J. Jacobi polynomial expansions of a generalized hypergeometric

function over a semi-infinite ray. 395

Mapes, David C. Fast method for computing the number of primes less than a

given limit. 179

489

490 AUTHOR INDEX

Author Title Page

McAndrew, M. H. A partition problem (N). 291

McLaren, A. D. Optimal numerical integration on a sphere. 361

Michels, H. H. Abscissas and weight coefficients for Lobatto quadrature. 237

Miller, James Formulas for integrals of products of associated Legendre or

Laguerre functions (N). 84

Mitchell, A. R. & Explicit difference methods for solving the cylindrical heat

Pearce, R. P. conduction equation. 426

Navot, Israel The Euler-Maclaurin functional for functions with a quasi-

step discontinuity. 337

Newbery, A. C. R. Multistep integration formulas (N). 452

Newman, J. N. & An integral containing the square of a Bessel function. 64

Frank,W.

Pearson, Erna H. On the congruences (p — 1)! = —1 and 2"-1 = 1 (mod p2) (N). . 194

Petryshyn, W. V. On a general iterative method for the approximate solution of

linear operator equations. 1

Polachek, H., Walton, Transient motion of an elastic cable immersed in a fluid. 60

T. S.,Mejia, R., &Dawson, C.

Porsching, T. A. Matrix assignments and an associated min max problem (N). . 81

Preisendorfer, R. W. & On the best fit to experimental data curves using homogeneous

Roos, B. W. two-parameter functions. 231

Preisendorfer, R. W., Determinants by means of solutions of linear equations (N).. 285

Roos, B. W. & San-

gren, W. C.

Riesel, Hans A factor of the Fermât number F¡s (N). 458

Sankar, R. & Malini, V. A note on the relative merits of Padé and Maehly's diagonal

convergents in computing ex. 414

Schinzel, A. A remark on a paper of Bateman and Horn (N). 445

Shanks, Daniel Supplementary data and remarks concerning a Hardy-Little-

wood conjecture (N). 188

Shanks, Daniel & The calculation of certain Dirichlet series. 136

Wrench, John W., Jr.

Shapiro, George Gauss elimination for singular matrices (N). 441

Stancu, D. D. Evaluation of the remainder term in approximation formulas

by Bernstein polynomials. 270

Stancu, D. D. & Stroud, Quadrature formulas with simple Gaussian nodes and multiple

A. H. fixed nodes. 384

Stroud, A. H. & Secrest, Approximate integration formulas for certain spherically

Don symmetric regions. 105

Stroud, A. H. Coefficients in quadrature formulas (N). 289

Sweeney, Dura W. On the computation of Euler's constant. 170

von Holdt, R. E. & The definite integral of the product of linear functions. 419

Howerton, R. J.

Werner, H. & Raymann, An approximation to the Fermi integral Fm(x) (N). 193

G.Whittlesey, John R. B. Incomplete Gamma functions for evaluating Erlang process

probabilities. 11

Wilf, Herbert S. Calculations relating to a conjecture of Pólya and Schoen-

berg (N). 200

Wunderlich, M. On the non-existence of Fibonacci squares (N). 455

INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED

INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED

Review

Author Number

Ackoff, R. L. 47

Aizenshtat, V. S. 9

Allen, William A. 24

Alt, Franz L., Editor 15

Ancker, C. J., Jr. 22

Andrée, Richard V. 72

Bailey, C. B. 69

Bartee, Thomas C. 92

Bell, Alan 71

Belousov, S. L. 79

Bennett, B. M. 45

Berlyand, 0. S. 80

Bernard, Gary D. 49

Birkhoff, G. 85

Brown, B. M. 5Carmichael, Robert D. 70

Centre Belge de Recherches Mathé- 28

ma tiques

Clenshaw, C. W. 1

Comrie, L. J. 33

Conte, Samuel D. 10

Coulson, John E. 61

Davis, H. T. 68Dettman, John W. 82

Duffin, John H. 56

Durand, Emile 16

Fisher, Vera J. 68

Fletcher, A. 33

Ford, L. R., Jr. 58

Fowler, F. P., Jr. 12

Frevel, L. K. 81

Fried, Burton D. 10

Fulkerson, D. R. 58

Fuller, L. E. 42

Gafarían, A. V. 22

Galler, Bernard A. 93

Gavrilova, R. I. 80

Gel'fand, I. M. 74

Glembockij, J. 26

Glinski, Anna 19

Govindarajulu, Zakkula 20

Greenberger, Martin, Editor 14

Gupta, S. K. 47Hahn, Wolfgang 87

Hall, J. A. P., Editor 62

Hanson, Donald N. 56

Hartley, G. M. 94

Herrera, Lee 76

HlGGENS, T. P. 11

Higgins, Adele 71

HlLSENRATH, JOSEPH 53

Table

Classification

[K, W][L][L][X, Z][L,M]F

[A, B][Z][A, I][L][K][L][L][S, X]IL K, P][A-E, J, M][X]

[C, D, E, L, X][A-E, G-N, X, Z][L][Z][A,B][P, S, X][T, Z][G, H][A, B][A-E, G-N, X, Z][W][W][L][L][W][G][L, M][Z]IL][G][M, S][K][K][W, Z][K, W][X][Z][T, Z][Z][K][L][A, I][L, S]

Page

31393

207

98206

463461481

462470311

470

315IT.",

00

461209

302

94327459472

323202

45930232595

471

94325309206482

470464208203201

97313

477

328323483

466i)ô

462321

492 INDEX OF REVIEWS BY AUTHOR OF WORK REVIEWED

Author

Hodgman, Charles D., Editor

Hollitch, Robert S.

ISHIMARU, AkIRA

Jacob, Caius

Jeffreys, Harold

Kagle, B. J.Kaplan, Wilfred

Karplus, Walter J.

Karush, William

Kimbro, Geneviève M.

Knolle, Werner E.

Krasovskii, N. N.

Krylov, V. I.

Lebow, Irwin L.

Ledley, Robert S.

Levine, Norman

Luke, Yudell L.

Mainland, Donald

Mapes, David C.

Marcus, Mitchell P.

Masket, A. V. H.McCracken, Daniel D.

McCracken, Daniel D.

McKee, Lowry

Metleskii, A. S.

Miller, J. C P.

Miller, J. C. P.

Minas, J. S.Mitrinovic, D. S.

Mitrinovic, D. S.

Mitrinovic, R. S.Mitrinovic, R. S.

Mittman, Benjamin

Montpetit, G.Nakamura, E.

Nichol, C. A.

Oberhettinger, Fritz

Olver, F. W. J.

Papoulis, Athanasios

Paran, E.Peterson, E. L.

Plette, William S.

PONTRYAGIN, L. S.

Prudnikov, A. P.

Reed, Irving S.

Reíd, J. B.Reis, G. E.Rheinisch-Westfälisches Institut für

Instrumentelle Mathematik

Rodgers, W. C.

ROSENHEAD, L.

Rosser, J. Barkley

Salzer, Herbert E.

Salzer, Herbert E.

Review

Number

3486

49

57

18

50

2:;

6688

17

24

80

0

02

6335

51

76

30

2725

29

64

72

0

2

3347

644

6

44

86

67

457211

7555

508

65

5480

0267

6930

25

334017

35

TableClassification Page

[A-F, K-N, Q] 303[W, Z] 476[L] 315[V] 324[J, L, M] 203[L] 317[L, M, X] 206[Z] 331[X] 478[I] 202[L] 207[X] 478[L] 93[Z] 481[Z] 329[D] 304[L, M] 318[K] 466[F] 307[P, Z] 208[L, M] 207[Z] 210[Z] 330[F] 463[L] 93[F] 8S[A-E, G-N, X, Z] 302[K, W] 313[I, X] 90[I] 311[I, X] 90[I] 311[W, Z] 476[A] 459[K] 311[F] 463[L] 95[I, L] 464[M, X] 322[L] 317

[K] 92[Z] 331[M] 322[L] 470[Z] 481[A] 459[A, B] 461[Z] 210

[L, M] 207[A-E, G-N, X, Z] 302[F] 307[I] 202[D] 304

TABLE ERRATA 493

Author

Saxon, James A.

Scarborough, James B.

Schoenfeld, Lowell

schwatt, i. j.Sebestyen, George S.

Selb y, Samuel M., Editor

Selfridge, John L.

Shankland, Robert S., Editor

Shanks, Daniel

Smith, Edwin R.

Somerville, Graham F.

Spicer, H. C.

Spicer, H. C.Spicer, H. C.S pira, Robert

Stuart, R. D.Sutcliffe, Marion I.

Szegö, Gabor, et al, Editors

Teodorescu, P. P.

Thacher, Henry C, Jr.

Thorn, Marjory M.

Todd, John, Editor

Tomovic, Rajko

TURLEY, J. W.

USpalis, K.

Vanagas, V.Van Dyke, John

Varga, Richard S.

Ventzel, E. S.

Vichnevetsky, R., Editor

Wagner, Harvey M.

Weast, Robert C, Editor

Western Data Processing Center, Uni-

versity of California, Los Angeles

Wigner, E. P., Editor

Wilks, Samuel S.

Williams, R. W.

Wolf, Frank L.

Yaglom, A. M.

Zaludova, A. H.

Ziegler, Guy G.

ZlPPERER, L.

Review

Number

6590

407

91

34

72

347370

56

36375238S376)41

84

4

17

366

8126261943

13

31

48

34

8546

3221

7778

5360

Table

Classification

[Z][X]

[F]

[J][X, Z][A-F, K-N, Q][F][A-F, K-N, Q][F][A-E, J, M]IT, Z][E][E][L,M][F][P,X]IK][F, G, X][P,X][H][I][F, G, I, X][Z][L][M, S][M, S][K][G, H, X][W][Z][K, W][A-F, K-N, Q][W]

[S,X]IK][Z][K][K][K][L, S][X]

Page

331479'30791

479'303463303464461323305-306-320306.473466.308.473.9fr

202:

8»331471208208203

31097

211

314303

325

475312213201

468469321

327

NOTE

Title

Translation of Russian Journal.

Page

. 485

TABLE ERRATA

No. Author Title

337 Admiralty Computing Tables of Legendre Functions Q„(x).

Service

Page

334

494 CORRIGENDA

No. Author Title Page

323 Allen, E. S. Six-Place Tables. 101

320 Bohlin, K. Tables des Fonctions Elliptiques. 100

329 Bruhns, C. C. A New Manual of Logarithms to Seven Places of Decimals. . 214

334 Croarkin, Mary C. "Graphs for determining the power of Student's i-test".. 334

328 Dale, J. B. Five-Figure Tables of Mathematical Functions Com-

prising Tables of Logarithms, Powers of Numbers, Trig-

onometric, Elliptic and other Transcendental Functions. . 103

338 Erdélyi, A., Magnus, W., Higher Transcendental Functions. 485

Oberhettinger, F. &

Tricomi, F. G.

333 Fletcher, A., Miller, An Index of Mathematical Tables, Vol. I and II. 333J. C. P., Rosenhead,

L., & Comrie, L. J.

324 Gumprecht, R. O. & Tables of Riccati Bessel Functions for Large Arguments and

Sliepcerich, C. M. Orders. 102

321 Hancock, Harris Elliptic Integrals. 100

325 Hayashi, K. Tafeln für die Differenzenrechnung sowie für die Hyperbel-,

Besselschen, elliptischen und anderen Funktionen. 102

339 Jahnke-Emde-Lösch Tables of Higher Functions. 485

335 Lanczos, C. Applied Analysis. 334

319 Levy, L. Précis Elémentaire de la Théorie des Fonctions Elliptiques

avec Tables Numériques et Applications. 100

336 Lowan, A. N., Salzer, "A table of coefficients for numerical differentiation"... 334

H. E., & Hillman, A.

330 Milne, W. E. Numerical Calculus. 214

340 RiESEL, H. "All factors q < 108 in all Mersenne numbers 2*""1, p prime

< 104". 486

326 Ryshik, I. M. & Grad- Summen-, produkt- und Integral-Tafeln. 102

stein, I. S.

322 Silberstein, L. Synopsis of Applicable Mathematics. 101

341 Slater, L. J. Confluent Hypergeometric Functions. 486

331 Spenceley, G. W. & Smithsonian Elliptic Functions Tables. 214

Spenceley, R. M.

327 Spenceley, G. W., Smithsonian Logarithmic Tables to Base e and Base 10. .. 103

Spenceley, R. M. &

Epperson, E. R.

332 Spenceley, G. W., Smithsonian Logarithmic Tables to Base e and Base 10. . . 215

Spenceley, R. M. &

Epperson, E. R.

CORRIGENDA

Author Title Page

Alt, Franz L., Editor Advances in Computers. 335

Bramble, James H. "Fourth-order finite difference analogues of the Dirichlet prob-

lem for Poisson's equation in three and four dimensions". . 487

Brillhart, John "Concerning the numbers 2*v + 1, p prime". 215

Brillhart, John "Concerning the numbers 2^ + 1, p prime". 487

Brillhart, John & "On the factors of certain Mersenne numbers". 215

Johnson, G. D.

Carlitz, L. "The coefficients of the leminiscate function". 215

Fraser, W., & Gotlieb, "A calculation of the number of lattice points in the circle and

C. C. sphere". 104

Grace, Donald W. "Search for largest polyhedra". 488

REVIEWS BY SUBJECT 495

Author Title Page

Hansen, Eldon R. & "Some relations and values for the generalized Riemann Zeta

Patrick, Merrell L.

Ralston, Anthony

Shanks, Daniel &

Wrench, John W., Jr.

Sweeney, Dura W.

function". 104

"Runge-Kutta methods with minimum error bounds". 488

"The calculation of certain Dirichlet series". 488

"On the computation of Euler's constant". 488

REVIEWS BY SUBJECT

A. Arithmetical Tables, Mathematical Constants

Author/s Review

Bailey, C. B. & Reis, 69

G. E.Bell, Alan & Higgins, 71

Adele

Carmichael, Robert D. 70

& Smith, Edwin R.

Davis, H. T. & Fisher, 68

Vera J.Fletcher, A., Miller, J. 33

C. P., Rosenhead, L. &

Comrie, L. J.

Reíd, J. B., & Montpetit, 67

G.Selby Samuel, M., 34

Weast, Robert C,

Shankland, Robert S.,

& Hodgman, Charles

D., Editors

Bailey, C. B. & Reis, 69

G. E.Carmichael, Robert D. 70

& Smith, Edwin R.

Davis, H. T. & Fisher, 68

Vera J.

Fletcher, A., Miller, J. 33


Comrie, L. J.

Selby, Samuel M., 34

Weast, Robert C,

Shankland, Robert S.

& Hodgman, Charles

D., Editors


& Smith, Edwin R.

Clenshaw, C.W. 1

Fletcher, A., Miller, J. 33

C. P., Rosenhead, L., &

Comrie, L. J.

Title Page

Tables of Roots of the First Ten Thousand Integers. . 461

Table of Stirling Numbers of the Second Kind S(n, k),

k = 1(1)», n = 1(1)100. 462Mathematical Tables and Formulas. 461

Tables of the Mathematical Functions, Arithmetical

Tables, Volume III. 459

An Index of Mathematical Tables, Second edition. . . 302

Table of Factorials 0! to 9999!. 459

Handbook of Mathematical Tables. 303

B. Powers

Tables of Roots of the First Ten Thousand Integers.. . 461

Mathematical Tables and Formulas. 461

Tables of the Mathematical Functions, Arithmetical

Tables, Vol. Ill. 459An Index of Mathematical Tables, Second edition ... 302


C. Logarithms


Chebyshev Series for Mathematical Functions. 88

An Index of Mathematical Tables. 302

496 REVIEWS BY SUBJECT

Author/s Review


Weast, Robert C,


& Hodgman, Charles

D., Editors

Carmichael, Robert D.

& Smith, Edwin R.

Clenshaw, C. W.

Fletcher, A., Miller, J.


Comrie, L. J.Salzer, Herbert E. &

Levine, Norman

Selby, Samuel M.,

Weast, Robert C,


& Hodgman, Charles

D., Editors

Title

Handbook of Mathematical Tables.

Page

. 303

D. Circular Functions

70 Mathematical Tables and Formulas. 461

1 Chebyshev Series for Mathematical Functions. 88

33 An Index of Mathematical Tables, Second edition. . . 302

35 Table of Sines and Cosines to Ten Decimal Places at

Thousandths of a Degree. 304

34 Handbook of Mathematical Tables. 303


& Smith, Edwin R.

Clenshaw, C. W.

Fletcher, A., Miller, J.


Comrie, L. J.Selby, Samuel M.,

Weast, Robert C,


& Hodgman, Charles

D., Editors

Spicer, H. C.Spicer, H. C.

Mapes, David C.

Miller, J. C. P.

Nichol, C. A., Selfridge,

John L. McKee,

LowRY& Richard V.

Andrée

Rosser, J. Barkley &

Schoenfeld, Lowell

Selby, Samuel M.,

Weast, Robert C,


& Hodgman, Charles

D., Editors

Shanks, Daniel

Spira, Robert

Hyperbolic and Exponential Functions


1 Chebyshev Series for Mathematical Functions. 88


34

30

37

39

2

72

40

34

7:!

38


Tables of the Ascending Exponential Function ex... 305

Tables of the Descending Exponential Function e~x.. 306

F. Theory of Numbers

Fast Method for Computing the Number of Primes

less than a Given Limit. 307

Table of Least Primitive Roots. 88

A Table of Indices and Power Residues for All Primes

and Prime Powers Below 2000. 463

"Approximate formulas for some functions of

prime numbers". 307


Solved and Unsolved Problems in Number Theory. . . . 464

Tables Related to x2 + y* and x* + y*. 306


Author/s

Szegö, Gabor, et al,

Editors

Todd, John, Editor

Durand, Emile

Fletcher, A.,

Miller, J.C.P.,

Rosenhead, L. &

Comrie, L. J.

Fuller, L. E.

Gel'fand, I. M.

Szegö, Gabor, et al,

Editors

Todd, John, Editor

Varga, Richard S.

Durand, Emile

Fletcher, A.,

Miller, J. C. P.,

Rosenhead, L. &

Comrie, L. J.

Thacher, Henry C, Jr.

Varga, Richard S.

Bell, Alan &

Higgins, Adele

Brown, B. M.Fletcher, A.,

Miller, J. C P.,

Rosenhead, L. &

Comrie, L. J.

Mitrinovic, D. S. &

Mitrinovic, R. S.

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

Olver, F. W. J.

Salzer, Herbert E.,

Kimbro, Geneviève M.

& Thorn, Marjory M.

Todd, John, Editor


& Smith, Edwin R.

Fletcher, A.,

Miller, J. C. P.,

Rosenhead, L. &

Comrie, L. J.

Jeffreys, Harold

Schwatt, I. J.

Review Title Page

41 Studies in Mathematical Analysis and Related Topics

—Essays in Honor of George Pólya. 308

3 A Survey of Numerical Analysis. 89

G. Higher Algebra

16 Solutions Numériques des Equations Algébriques. . . 202

33 An Index of Mathematical Tables, Second Edition. . . 302

42 Basic Matrix Theory. 309

74 Lectures on Linear Algebra. 464

41 Studies in Mathematical Analysis and Related Topics



43 Matrix Iterative Analysis. 310

H. Numerical Solution of Equations

16 Solutions Numériques des Equations Algébriques. . . 202

33 An Index of Mathematical Tables, Second edition.... 302

4 Real Roots of the Equation x tan y + tank y = 0. 90

43 Matrix Iterative Analysis. 310

I. Finite Differences, Interpolation

71 Tables of Stirling Numbers of the Second KindS(n,k),k = l(l)n,n = 1(1)100. 462

5 The Mathematical Theory of Linear Systems. 90


6 "Sur une classe de nombres se rattachant aux nom-

bres de Stirling". 90

44 Tableaux d'une classe de nombres reliés aux nombres

de Stirling. 311

75 Tables for Bessel Functions of Moderate or Large

Orders. 464

17 Tables for Complex Hyperosculatory Interpolation

over a Cartesian Grid. 202


J. Summation of Series



18 Asymptotic Approximations. 203

7 An Introduction to the Operations with Series. 91


K. Statistics

Author/s

Ackoff, R. L.,

Gupta, S. K. &Minas, J. S.

Bennett, B. M. &

Nakamura, E.

Brown, B. M.

Fletcher, A.,

Miller, J. C. P.,

Rosenhead, L. &

Comrie, L. J.

Glinski, Anna &

Van Dyke, John

govindarajulu,

Zakkula

Mainland, Donald,

Herrera, Lee &

Sutcliffe, Marion I.

Peterson, E. L.Selby, Samuel M.,

Weast, Robert C,


& Hodgman, Charles

D., Editors

Wagner, Harvey M.

Wilks, Samuel S.

Wolf, Frank L.

Yaglom, A. M.

Zaludova, A. H.

AlZENSHTAT, V. S.

Krylov, V. I. &

Metleskii, A. S.

Ancker, C. J., Jr. &

Gafarían, A. V.

Belousov, S. L.

Berlyand, O. S.,

Gavrilova, R. I. &

Prudnikov, A. P.

Bernard, Gary D. &

ISHIMARU, AkIRA

Clenshaw, C. W.

Fletcher, A.,

Miller, J. C. P.,

Rosenhead, L. &

Comrie, L. J.

Review

47

45

5

33

10

20

76

8

34

Title Page

Scientific Method: Optimizing Applied Research De-

cisions . 313

Significance Tests in a 2 X 3 Contingency Table,

A = 3(1)20. 311The Mathematical Theory of Linear Systems. 90

An Index of Mathematical Tables, Second edition... 302

Tables for Significance Tests in a 2 X 2 Contingency

Table. (A Recomputation of the Finney and

Latscha Tables). 203

First Two Moments of the Reciprocal of a Positive

Hyper geometric Variable. 204

Tables for Use with Binomial Samples. 466

Statistical Analysis and Optimization of Systems.... 92


48 Statistical Management of Inventory Systems. 314

46 Mathematical Statistics. 312

21 Elements of Probability and Statistics. 204

77 An Introduction to the Theory of Stationary Random

Functions. 468

78 "The non-central ¿-test (g-test) based on range in

place of standard deviation". 469

L. Higher Mathematical Functions

9 Tables for Calculating Laplace Transforms and In-

tegrals of the form I x'exf(x) dx. 93Jo

22 The Function J(x,y) -ix y(y, &

d{—Some Proper-

ties and a Table. 206

79 Tables of Normalized Associated Legendre Poly-

nomials. 470

80 Tables of Integral Error Functions and Hermite

Polynomials. 470

49 Tables of the Anger and Lommel-Weber Functions.. . 315

1 Chebyshev Series forMathematical Functions. 88

33 An Index of Mathematical Tables, Second edition . . . 302


Author/s Review

Frevel, L. K. & 81

Turley, J.W.

Fried, Burton D. & 10

Conte, Samuel D.

Hilsenrath, Joseph & 53

Ziegler, Guy G.

Jeffreys, Harold 18

Kaplan, Wilfred 23

Knolle, Werner E. & 24

Allen, William A.

Luke, Yudell L. 51

Masket, A. V. H. & 25

Rodgers, W. C.

Oberhettinger, Fritz & 11

Higgens, T. P.

Olver, F. W. J. 75

Paran, E. & 50

Kagle, B. J.


Weast, Robert C,


& Hodgman, Charles

D., Editors

Spicer, H. C. 52

Title Page

Tables of Iterated Bessel Functions of the First Kind

and First Order. 471

The Plasma Dispersion Function: The Hubert

Transform of the Gaussian. 94

Tables of Einstein Functions—Vibrational Contribu-

tions to the Thermodynamic Functions. 321

Asymptotic Approximations. 203

Operational Methods for Linear Systems. 206

Expansion of Elliptic Functions Tables. 207

Integrals of Bessel Functions. 318

Tables of Solid Angles: I. Solid Angle Subtended by

a Circular Disc; II. Solid Angle Subtended by the

Lateral Surface of a Right Circular Cylinder. 207

Tables of Lebedev, Mehler, and Generalized Mehler

Transforms. 95

Tables for Bessel Functions of Moderate or Large

Orders. 464

Tables of Legendre Polynomials of the First and

Second Kind. 317


Tables of the Inverse Probability Integral

2 f"320

Ancker, C. J., Jr. & 22

Gafarían, A. V.


& Smith, Edwin R.

Fletcher, A., 33

Miller, J. C. P.,

Rosenhead, L. &

Comrie, L. J.

Jeffreys, Harold 18

Kaplan, Wilfred 23

Luke, Yudell L. 51

Masket, A. V. H. & 25

Rodgers, W. C.

Papoulis, A than asios 55

Pontryagin, L. S. 54


Weast, Robert C,


& Hodgman, Charles

D., Editors

M. Integrals

The Function J(x, y) f y(y, I)d|—Some Prop-

erties and a Table. 206


An Index of Mathematical Tables, Second edition.. . 302

Asymptotic Approximations. 203

Operational Methods for Linear Systems. 206

Integrals of Bessel Functions. 318

Tables of Solid Angles: I. Solid Angle Subtended bya Circular Disc; II. Solid Angle Subtended by the

Lateral Surface of a Right Circular Cylinder. 207

The Fourier Integral and its A pplications. 322

Ordinary Differential Equations. 322



Author/s

Spicer, H. C

Vanagas, V.,

Glembockij, J.

Uspalis, K.

Review Title Page

52 Tables of the Inverse Probability Integral

2

26 Tables of Radial Integrals of A tomic Spectra Theory.. 208

2 f"320

&

Fletcher, A.,

Miller, J. C. P.,

Rosenhead, L. &

Comrie, L. J.Selby, Samuel M.,

Weast, Robert C,


& Hodgman, Charles

D., Editors

Brown, B. M.Dettman, John W.

Marcus, Mitchell P.

Stuart, R. D.Teodorescu, P. P.

Selby, Samuel M.,

Weast, Robert D.,


& Hodgman, Charles

D., Editors

Birkhoff, G. &

Wigner, E. P., Editors

Dettman, John W.

HlLSENRATH, JOSEPH &

Ziegler, Guy G.

Vanagas, V.,

Glembockij, J. &

Uspalis, K.

Hanson, Donald N.,

Duffin, John H. &

SOMERVILLE, GRAHAM F.

N. Interest and Investment

33 An Index of Mathematical Tables, Second Edition... 302

34 Handbook of Mathematical Tables. 303

58227

83

84

34

P. Engineering

The Mathematical Theory of Linear Systems. 90

Mathematical Methods in Physics and Engineering... 472

Switching Circuits for Engineers. 208

An Introduction to Fourier Analysis. 473

Probleme Plane in Teoría Elasticitatii, Vol. 1. 473

Q. Astronomy


Physics, Geophysics, Crystallography

85 Proceedings of Symposia in Applied Mathematics,

82

53

26

56

Vol. XI, Nuclear Reactor Theory. 475


Tables of Einstein Functions—Vibrational Contribu-

tions to the Thermodynamic Functions. 321

Tables of Radial Integrals of Atomic Spectra Theory. 208

T. Chemistry

Computation of Multistage Separation Processes... 323

Jacob, Caius

V. Aerodynamics, Hydrodynamics, Ballistics

57 Introduction Mathématique à la Méchanique des

Fluides. 324

Ackoff, R. L.,

Gupta, S. K., &Minas, J. S.

W. Economies and Social Sciences

47 Scientific Method: Optimizing Applied Research De-

cisions. 313


Author/s

Ford, L. R., Jr. &

Fulkerson,D. R.

Fowler, F. P., Jr.

Greenberger, Martin,

Editor

Hollitch, Robert S. &

Mittman, Benjamin

Ventzel, E. S.

Wagner, Harvey M.

Western Data Process-

ing Center, Univer-

sity of California,

Los Angeles

Review

58

12

14

86

13

48

59

Title PageFlows in Networks. 325

Basic Mathematics for Administration. 95

Management and the Computer of the Future. 97

Computer Applications—1961. 476

Lectures on Game Theory. 97

Statistical Management of Inventory Systems. 314

Contributions to Scientific Research in Management.. 325

15

85

Alt, Franz L., Editor

Birkhoff, G. &

Wigner, E. P., Editors

Centre Belge de 28

Recherches

Mathémati ques

Clenshaw, C. W. 1

Dettman, John W. 82

Fletcher, A., 33

Miller, J. C. P.,

Rosenhead, L. &

Comrie, L. J.Hahn, Wolfgang 87

Kaplan, Willfred 23

Karush, William 88

Krasovskii, N. N. 89

Mitrinovic, D. S. & 6MitrinoviC, R. S.

Papoulis, Athanasios 55

Scarborough, James B. 90

Sebestyen, George S. 91

Stuart, R. D. 83Szegö, Gabor, et al, 41

Editors

Teodorescc, P. P. 84

Todd, John, Editor 3

Varga, Richard S. 43

Zipperer, L. 60

X. Numerical Analysis and Applied Mathematics

Advances in Computers, Vol 2. 98

Proceedings of Symposia in Applied Mathematics

Vol. XI, Nuclear Reactor Theory. 475

Colloque sur l'Analyse Numérique. 209

Chebyshev Series for Mathematical Functions. 88


An Index of Mathematical Tables, Second Edition.. . 302

Theory and Applications of Liapunov's Direct

Method. 477Operational Methods for Linear Systems. 206

The Crescent Dictionary of Mathematics. 478

Stability of Motion. 478

"Sur une classe de nombres se rattachant aux

nombres de Stirling". 90

The Fourier Integral and its Applications. 322

Numerical Mathematical Analysis. 479

Decision-Making Processes in Pattern Recognition.. 479

An Introduction to Fourier Analysis. 473

Studies in Mathematical Analysis and Related Topics


Probleme Plane in Teoría Elasticitatii, Vol. 1. 473

A Survey of Numerical Analysis. 89

Matrix Iterative Analysis. 310

Tables for the Harmonic Analysis and Synthesis of

Periodic Functions 327

Z. Calculating Machines and Mechanical Computation

Alt, Franz L., Editor

Bartee, Thomas C,

Lebow, Irwin L. &

Reed, Irving S.

Coulso.n, John E.

Fletcher, A.,

Miller, J. C. P.,

Rosenhead, L. &

Comrie, L. J.

15 Advances in Computers, Vol. 2. 98

92 Theory and Design of Digital Machines. 481

61 Programmed Learning and Computer-Based Instruc-

tion. 327

33 An Index of Mathematical Tables, Second Edition... 302


Author/s

Galler, Bernard A.

Greenberger, Martin,

Editor

Hall, J. A. P.,

EditorHanson, Donald N.,

Duffin, John H. &

SOMERVILLE, GRAHAM F.

Hartley, G. M.

Hollitch, Robert S. &

Mittman, Benjamin

Ledley, Robert S.

Marcus, Mitchell P.



Rheinisch-

Westfälisches

Institut für

Instrumentelle

Mathematik

Saxon, James A. &

Plette, William S.

Sebestyen, George S.

Tomovic, Rajko &

Karplus, Walter J.

Vichnevetsky, R.,

Editor

Williams, R. W.

Review Title

93 The Language of Computers. 482

14 Management and the Computer of the Future. 97

62 Computers in Education. 328

56 Computation of Multistage Separation Processes.... 323

9486

6327

6420

30

65

9166

31

32

An Introduction to Electronic Analog Computers.

Computer Applications—1961.

483

476

Programming and Utilizing Digital Computers. 329

Switching Circuits for Engineers. 208

A Guide to ALGOL Programming. 330

A Guide to IBM H01 Programming. 210

International Series of Numerical Mathematics. 210

Programming the IBM llfil: A Self-Instructional

Programmed Manual. 331

Decision-Making Processes in Pattern Recognition. . 479

High-Speed Analog Computers. 331

Analogue Computation Applied to the Study of

Chemical Processes. 211

Analogue Computation. 213

volume xvii author index...stancu, d. d. evaluation of the remainder term in approximation formulas...

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