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Mathematics of Computation

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  • Vol. 24, No. 110, Apr., 1970

  • ISSN:

    00255718

  • Issue Stable URL:

    http://www.jstor.org/stable/i334533

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  • No. 109, Jan., 1970, pp. 1-244

    2. Front Matter
    3. Stable URL: http://www.jstor.org/stable/2004474
    4. PDF
      5.  
    6. On the Construction of Gaussian Quadrature Rules from Modified Moments (pp. 245-s52)
    7. Walter Gautschi
    8. Stable URL: http://www.jstor.org/stable/2004475
    9. PDF
      10.  
    11. Error of the Newton-Cotes and Gauss-Legendre Quadrature Formulas (pp. 261-269)
    12. N. S. Kambo
    13. Stable URL: http://www.jstor.org/stable/2004476
    14. PDF
      15.  
    16. Discrete Least Squares and Quadrature Formulas (pp. 271-282)
    17. M. Wayne Wilson
    18. Stable URL: http://www.jstor.org/stable/2004477
    19. PDF
      20.  
    21. Movable Singularities and Quadrature (pp. 283-300)
    22. R. F. Goodrich, F. Stenger
    23. Stable URL: http://www.jstor.org/stable/2004478
    24. PDF
      25.  
    26. An Error Analysis for Numerical Multiple Integration. III (pp. 301-314)
    27. Robert E. Barnhill, Gregory M. Nielson
    28. Stable URL: http://www.jstor.org/stable/2004479
    29. PDF
      30.  
    31. An Analysis of "Boundary-Value Techniques" for Parabolic Problems (pp. 315-340)
    32. Alfred Carasso, Seymour V. Parter
    33. Stable URL: http://www.jstor.org/stable/2004480
    34. PDF
      35.  
    36. Chebyshev Iteration Methods for Integral Equations of the Second Kind (pp. 341-355)
    37. T. W. Sag
    38. Stable URL: http://www.jstor.org/stable/2004481
    39. PDF
      40.  
    41. Numerical Differentiation and the Solution of Multidimensional Vandermonde Systems (pp. 357-364)
    42. G. Galimberti, V. Pereyra
    43. Stable URL: http://www.jstor.org/stable/2004482
    44. PDF
      45.  
    46. The Convergence of Single-Rank Quasi-Newton Methods (pp. 365-382)
    47. C. G. Broyden
    48. Stable URL: http://www.jstor.org/stable/2004483
    49. PDF
      50.  
    51. Generalized Logarithmic Error and Newton's Method for the mth Root (pp. 383-389)
    52. David L. Phillips
    53. Stable URL: http://www.jstor.org/stable/2004484
    54. PDF
      55.  
    56. Best Rational Starting Approximations and Improved Newton Iteration for the Square Root (pp. 391-404)
    57. Ichizo Ninomiya
    58. Stable URL: http://www.jstor.org/stable/2004485
    59. PDF
      60.  
    61. On the Computation of Debye Functions of Integer Orders (pp. 405-407)
    62. E. W. Ng, C. J. Devine
    63. Stable URL: http://www.jstor.org/stable/2004486
    64. PDF
      65.  
    66. Computer Investigation of Coulomb Wave Functions (pp. 409-411)
    67. Robert L. Pexton
    68. Stable URL: http://www.jstor.org/stable/2004487
    69. PDF
      70.  
    71. Numerical Techniques for Finding ν-Zeros of Hankel Functions (pp. 413-422)
    72. James Alan Cochran, Judith N. Hoffspiegel
    73. Stable URL: http://www.jstor.org/stable/2004488
    74. PDF
      75.  
    76. On Amicable and Sociable Numbers (pp. 423-429)
    77. Henri Cohen
    78. Stable URL: http://www.jstor.org/stable/2004489
    79. PDF
      80.  
    81. Amicable Numbers and Their Distribution (pp. 431-432)
    82. Paul Bratley, Fred Lunnon, John McKay
    83. Stable URL: http://www.jstor.org/stable/2004490
    84. PDF
      85.  
    86. Integer Sequence having Prescribed Quadratic Character (pp. 433-451)
    87. D. H. Lehmer, Emma Lehmer, Daniel Shanks
    88. Stable URL: http://www.jstor.org/stable/2004491
    89. PDF
      90.  
    91. On Generating Infinitely Many Solutions of the Diophantine Equation A<sup>6</sup> + B<sup>6</sup> + C<sup>6</sup> = D<sup>6</sup> + E<sup>6</sup> + F<sup>6</sup> (pp. 453-454)
    92. Simcha Brudno
    93. Stable URL: http://www.jstor.org/stable/2004492
    94. PDF
      95.  
    96. Statistical Study of Digits of Some Square Roots of Integers in Various Bases (pp. 455-473)
    97. W. A. Beyer, N. Metropolis, J. R. Neergaard
    98. Stable URL: http://www.jstor.org/stable/2004493
    99. PDF
      100.  
    100. Reviews and Descriptions of Tables and Books
      2. Review: [untitled] (pp. 475-476)
      3. W. G.
      4. Reviewed work(s): Mathematische Hilfsmittel des Ingenieurs. by R. Sauer; I. Szabó; T. P. Angelitch; G. Aumann; F. L. Bauer; R. Bulirsch; H. P. Künzi; H. Rutishauser; K. Samelson; R. Sauer; J. Stoer
      5. Stable URL: http://www.jstor.org/stable/2004494
      6. PDF
        7.  
      8. Review: [untitled] (p. 476)
      9. W. G.
      10. Reviewed work(s): Computer Evaluation of Mathematical Functions by C. T. Fike
      11. Stable URL: http://www.jstor.org/stable/2004495
      12. PDF
        13.  
      14. Review: [untitled] (p. 477)
      15. Olof Widlund
      16. Reviewed work(s): An Introduction to the Approximation of Functions by Theodore J. Rivlin
      17. Stable URL: http://www.jstor.org/stable/2004496
      18. PDF
        19.  
      20. Review: [untitled] (pp. 477-478)
      21. W. G.
      22. Reviewed work(s): Numerische Mathematik, Differentialgleichungen, Approximationstheorie by L. Collatz; G. Meinardus; H. Unger
      23. Stable URL: http://www.jstor.org/stable/2004497
      24. PDF
        25.  
      26. Review: [untitled] (pp. 478-s55)
      27. E. I.
      28. Reviewed work(s): Gaussian Quadrature Formulas for the Integration of Oscillating Functions by Robert Piessens
      29. Stable URL: http://www.jstor.org/stable/2004498
      30. PDF
        31.  
      32. Review: [untitled] (p. 479)
      33. J. W. W.
      34. Reviewed work(s): Evaluation of Certain Integrals of Reduced Modified Bessel Functions of the Second Kind by David M. Bishop
      35. Stable URL: http://www.jstor.org/stable/2004499
      36. PDF
        37.  
      38. Review: [untitled] (pp. 479-482)
      39. J. W. W.
      40. Reviewed work(s): The Art of Computer Programming. Vol. II: Seminumerical Algorithms by Donald E. Knuth
      41. Stable URL: http://www.jstor.org/stable/2004500
      42. PDF
        43.  
      44. Review: [untitled] (p. 482)
      45. A. S. H.
      46. Reviewed work(s): Computer Solution of Linear Algebraic Systems by George E. Forsythe; Cleve B. Moler
      47. Stable URL: http://www.jstor.org/stable/2004501
      48. PDF
        49.  
      50. Review: [untitled] (pp. 482-483)
      51. Wilhelm Magnus
      52. Reviewed work(s): Matrix Representations of Groups by Morris Newman
      53. Stable URL: http://www.jstor.org/stable/2004502
      54. PDF
        55.  
      56. Review: [untitled] (pp. 483-485)
      57. Beresford N. Parlett
      58. Reviewed work(s): ALGOL 60 Procedures in Numerical Algebra, Part II by T. J. Dekker; W. Hoffman
      59. Stable URL: http://www.jstor.org/stable/2004503
      60. PDF
        61.  
      62. Review: [untitled] (p. 485)
      63. A. S. H.
      64. Reviewed work(s): Matrix Computer Methods in Engineering by Louis A. Pipes; Shahen A. Hovanessian
      65. Stable URL: http://www.jstor.org/stable/2004504
      66. PDF
        67.  
      68. Review: [untitled] (pp. 485-486)
      69. W. G.
      70. Reviewed work(s): Approximate Methods for Solution of Differential and Integral Equations by S. G. Mikhilin; K. L. Smolitskiy
      71. Stable URL: http://www.jstor.org/stable/2004505
      72. PDF
        73.  
      74. Review: [untitled] (pp. 486-487)
      75. W. G.
      76. Reviewed work(s): Ordinary Differential Equations, A First Course by Fred Brauer; John A. Nohel
      77. Stable URL: http://www.jstor.org/stable/2004506
      78. PDF
        79.  
      80. Review: [untitled] (pp. 487-488)
      81. Olof Widlund
      82. Reviewed work(s): Lectures on the Numerical Solution of Linear, Singular, and Nonlinear Differential Equations by Donald Greenspan
      83. Stable URL: http://www.jstor.org/stable/2004507
      84. PDF
        85.  
      86. Review: [untitled] (p. 488)
      87. J. W. W.
      88. Reviewed work(s): A Table of the Modified Bessel Functions K<sub>n</sub>(x) and I<sub>n</sub>(x) to at Least 60S for n = 0, 1, and x = 1, 2,⋯ 40 by B. S. Berger; H. McAllister
      89. Stable URL: http://www.jstor.org/stable/2004508
      90. PDF
        91.  
      92. Review: [untitled] (p. 489)
      93. J. W. W.
      94. Reviewed work(s): A 20-D Table of Jacobi's Nome and its Inverse by Henry E. Fettis; James C. Caslin
      95. Stable URL: http://www.jstor.org/stable/2004509
      96. PDF
        97.  
      98. Review: [untitled] (pp. 489-490)
      99. J. W. W.
      100. Reviewed work(s): Tables of Toroidal Harmonics, I: Orders 0-5, All Significant Degrees by Henry E. Fettis; James C. Caslin
      101. Stable URL: http://www.jstor.org/stable/2004510
      102. PDF
        103.  
      104. Review: [untitled] (p. 490)
      105. Y. L. L.
      106. Reviewed work(s): Numerical Values of Certain Integrals Involving a Product of Two Bessel Functions by M. Kumar; G. K. Dhawan
      107. Stable URL: http://www.jstor.org/stable/2004511
      108. PDF
        109.  
      110. Review: [untitled] (pp. 490-491)
      111. D. S.
      112. Reviewed work(s): On a Trio-Set of Partition Functions and their Tables by L. M. Chawla; S. A. Shad
      113. Stable URL: http://www.jstor.org/stable/2004512
      114. PDF
        115.  
      116. Review: [untitled] (pp. 491-493)
      117. D. S.
      118. Reviewed work(s): Tables of Class Numbers h(-p) for Fields Q(√ -p), p ≤ 465071 by Richard B. Lakein; Sigekatu Kuroda
      119. Stable URL: http://www.jstor.org/stable/2004513
      120. PDF
        121.  
      122. Review: [untitled] (pp. 493-494)
      123. D. S.
      124. Reviewed work(s): The Discovery of Amicable Numbers by Elvin J. Lee
      125. Stable URL: http://www.jstor.org/stable/2004514
      126. PDF
        127.  
      128. Review: [untitled] (pp. 495-496)
      129. D. S.
      130. Reviewed work(s): Tables of Ramanujan's Function τ(n) by D. H. Lehmer
      131. Stable URL: http://www.jstor.org/stable/2004515
      132. PDF
        133.  
      134. Review: [untitled] (pp. 496-497)
      135. D. S.
      136. Reviewed work(s): Number Theory and Analysis--A Collection of Papers in Honor of Edmund Landau (1877-1938) by Paul Turán
      137. Stable URL: http://www.jstor.org/stable/2004516
      138. PDF
        139.  
      140. Review: [untitled] (p. 497)
      141. J. W. W.
      142. Reviewed work(s): Cyclotomic Polynomial Generator and Tables by Robert Spira
      143. Stable URL: http://www.jstor.org/stable/2004517
      144. PDF
        145.  
      146. Review: [untitled] (pp. 497-498)
      147. Max Goldstein
      148. Reviewed work(s): Omnitab, A Computer Program for Statistical and Numerical Analysis by J. Hilsenrath; G. G. Ziegler; C. G. Messina; P. J. Walsh; R. J. Herbold
      149. Stable URL: http://www.jstor.org/stable/2004518
      150. PDF
        151.  
      152. Review: [untitled] (pp. 498-499)
      153. J. T. Schwartz
      154. Reviewed work(s): Compiling Techniques by F. R. A. Hopgood
      155. Stable URL: http://www.jstor.org/stable/2004519
      156. PDF
        157.  
      158. Review: [untitled] (pp. 499-500)
      159. Paul Abrahams
      160. Reviewed work(s): The SIMSCRIPT II Programming Language by P. J. Kiviat; R. Villaneuva; H. M. Markowitz
      161. Stable URL: http://www.jstor.org/stable/2004520
      162. PDF
        163.  
      164. Review: [untitled] (pp. 500-501)
      165. Paul Abrahams
      166. Reviewed work(s): Programming Languages: History and Fundamentals by Jean E. Sammet
      167. Stable URL: http://www.jstor.org/stable/2004521
      168. PDF
        169.  
      170. Review: [untitled] (pp. 501-502)
      171. Malcolm Harrison
      172. Reviewed work(s): Time-Sharing Computer Systems by M. V. Wilkes
      173. Stable URL: http://www.jstor.org/stable/2004522
      174. PDF
        175.  
    102. Table Errata (pp. 503-506)
    103. Stable URL: http://www.jstor.org/stable/2004523
    104. PDF
      105.  
    106. Back Matter
    107. Stable URL: http://www.jstor.org/stable/2004524
    108. PDF
      109.  

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  • No. 111, Jul., 1970, pp. 507-766