Proceedings of the Edinburgh Mathematical Society Vol. 11 Issue 03

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Table of Contents - Volume 11 - Issue 03 - May 1959

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Research Articles

An application of the Kontorovich-Lebedev Transform An application of the Kontorovich-Lebedev Transform

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J. S. Lowndes

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 135 - 137

DOI: http://dx.doi.org/10.1017/S0013091500021593 (About DOI), Published online: 20 January 2009

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A General Basis Theorem A General Basis Theorem

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A. P. Robertson and J. D. Weston

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 139 - 141

DOI: http://dx.doi.org/10.1017/S001309150002160X (About DOI), Published online: 20 January 2009

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Matrices with Prescribed Characteristic Polynomials Matrices with Prescribed Characteristic Polynomials

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H. K. Farahat and W. Ledermann

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 143 - 146

DOI: http://dx.doi.org/10.1017/S0013091500021611 (About DOI), Published online: 20 January 2009

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A Method of Deriving Solutions of a Class of Boundary Value Problems A Method of Deriving Solutions of a Class of Boundary Value Problems

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F. J. Lockett

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 147 - 152

DOI: http://dx.doi.org/10.1017/S0013091500021623 (About DOI), Published online: 20 January 2009

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Longitudinal Elastic Waves in Cylinders and Tubes—Including Thermoelastic Effects Longitudinal Elastic Waves in Cylinders and Tubes—Including Thermoelastic Effects

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F. J. Lockett

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 153 - 159

DOI: http://dx.doi.org/10.1017/S0013091500021635 (About DOI), Published online: 20 January 2009

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Some Integrals involving Legendre Functions Some Integrals involving Legendre Functions

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W. D. Collins

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 161 - 165

DOI: http://dx.doi.org/10.1017/S0013091500021647 (About DOI), Published online: 20 January 2009

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A Theorem on Continued Fractions A Theorem on Continued Fractions

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G. N. Watson

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 167 - 174

DOI: http://dx.doi.org/10.1017/S0013091500021659 (About DOI), Published online: 20 January 2009

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Binary and Ternary Transformations of Sequences Binary and Ternary Transformations of Sequences

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D. Borwein and A. V. Boyd

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 175 - 181

DOI: http://dx.doi.org/10.1017/S0013091500021660 (About DOI), Published online: 20 January 2009

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Book Reviews

Claude Chevalley, Fundamental Concepts of Algebra (Academic Books Ltd., London, 1956), 241 pp., 54s. 6d. Claude Chevalley, Fundamental Concepts of Algebra (Academic Books Ltd., London, 1956), 241 pp., 54s. 6d.

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Walter Ledermann

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 183 - 183

DOI: http://dx.doi.org/10.1017/S0013091500021672 (About DOI), Published online: 20 January 2009

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O. Zariski, and P. Samuel, with the cooperation of I. S. Cohen, Commutative Algebra, vol. i (D. van Nostrand Co., London, 1958), 320 pp., 32s. 6d. O. Zariski, and P. Samuel, with the cooperation of I. S. Cohen, Commutative Algebra, vol. i (D. van Nostrand Co., London, 1958), 320 pp., 32s. 6d.

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D. E. Rutherford

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 183 - 184

DOI: http://dx.doi.org/10.1017/S0013091500021684 (About DOI), Published online: 20 January 2009

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Sophie Piccard, Sur les bases des groupes d'ordre fin, (Neuchatel, Secrétariat del'Université, 1957), pp. xxiv + 242. Sophie Piccard, Sur les bases des groupes d'ordre fin, (Neuchatel, Secrétariat del'Université, 1957), pp. xxiv + 242.

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D. E. Rutherford

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 184 - 184

DOI: http://dx.doi.org/10.1017/S0013091500021696 (About DOI), Published online: 20 January 2009

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A. Y. Khinchin, Three Pearls of Number Theory (Graylock Press, Rochester, N.Y., 1956), $2.00, 64 pp., 16s. A. Y. Khinchin, Three Pearls of Number Theory (Graylock Press, Rochester, N.Y., 1956), \$2.00, 64 pp., 16s.

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A. M. Macbeath

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 184 - 185

DOI: http://dx.doi.org/10.1017/S0013091500021702 (About DOI), Published online: 20 January 2009

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T. M. Apostol Mathematical Analysis (Addison-Wesley, Reading, Mass., 1957), 553 pp., 76s. T. M. Apostol Mathematical Analysis (Addison-Wesley, Reading, Mass., 1957), 553 pp., 76s.

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A. M. Macbeath

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 185 - 185

DOI: http://dx.doi.org/10.1017/S0013091500021714 (About DOI), Published online: 20 January 2009

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G. Springer, Introduction to Riemann Surfaces (Addison-Wesley, Reading, Mass., 1958), pp. viii + 305, 76s. G. Springer, Introduction to Riemann Surfaces (Addison-Wesley, Reading, Mass., 1958), pp. viii + 305, 76s.

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E. M. Wright

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 185 - 185

DOI: http://dx.doi.org/10.1017/S0013091500021726 (About DOI), Published online: 20 January 2009

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W. K. Hayman, Multivalent Functions (Cambridge University Press, 1958), 168 pp., 27s. 6d. W. K. Hayman, Multivalent Functions (Cambridge University Press, 1958), 168 pp., 27s. 6d.

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R. A. Rankin

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 185 - 186

DOI: http://dx.doi.org/10.1017/S0013091500021738 (About DOI), Published online: 20 January 2009

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U. Grenander, and G. Szegö, Toeplitz Forms and their Applications (University of California Press, 1958), 246 pp., $6.00. U. Grenander, and G. Szegö, Toeplitz Forms and their Applications (University of California Press, 1958), 246 pp., \$6.00.

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Dennis C. Russell

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 186 - 187

DOI: http://dx.doi.org/10.1017/S001309150002174X (About DOI), Published online: 20 January 2009

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R. V. Churchill, Operational Mathematics, 2nd ed. (McGraw-Hill Book Co., New York, 1958), 306 pp., 41s. R. V. Churchill, Operational Mathematics, 2nd ed. (McGraw-Hill Book Co., New York, 1958), 306 pp., 41s.

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J. Fulton

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 187 - 188

DOI: http://dx.doi.org/10.1017/S0013091500021751 (About DOI), Published online: 20 January 2009

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A. N. Kolmogorov, and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis, vol. i: Metric and Normed Spaces, translated by Leo F. Boron (Graylock Press, Rochester, N.Y., 1957), 129 pp., 32s. A. N. Kolmogorov, and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis, vol. i: Metric and Normed Spaces, translated by Leo F. Boron (Graylock Press, Rochester, N.Y., 1957), 129 pp., 32s.

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J. D. Weston

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 188 - 188

DOI: http://dx.doi.org/10.1017/S0013091500021763 (About DOI), Published online: 20 January 2009

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L. S. Pontryagin, Foundations of Combinatorial Topology, (Graylock Press, Rochester, N.Y., 1952), 99 pp., $3.00. L. S. Pontryagin, Foundations of Combinatorial Topology, (Graylock Press, Rochester, N.Y., 1952), 99 pp., \$3.00.

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W. H. Cockcroft

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 188 - 189

DOI: http://dx.doi.org/10.1017/S0013091500021775 (About DOI), Published online: 20 January 2009

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P. S. Aleksandrov, Combinatorial Topology, Vols. i and ii (Graylock Press, Rochester, N.Y., 1956, 57), pp., 225pp., $11.45. P. S. Aleksandrov, Combinatorial Topology, Vols. i and ii (Graylock Press, Rochester, N.Y., 1956, 57), pp., 225pp., \$11.45.

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W. H. Cockcroft

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 189 - 189

DOI: http://dx.doi.org/10.1017/S0013091500021787 (About DOI), Published online: 20 January 2009

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Roger Godement, Topologie Algébrique et Théorie des Faisceaux, Vol. i, Actualités scientifiques et industrielles 1252, Publications de l'lnstitut de Mathématique de L'Université de Strasbourg XIII (Hermann, Paris), 283 pp., 3600 francs. Roger Godement, Topologie Algébrique et Théorie des Faisceaux, Vol. i, Actualités scientifiques et industrielles 1252, Publications de l'lnstitut de Mathématique de L'Université de Strasbourg XIII (Hermann, Paris), 283 pp., 3600 francs.

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D. J. Simms

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 189 - 189

DOI: http://dx.doi.org/10.1017/S0013091500021799 (About DOI), Published online: 20 January 2009

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André Weil, Introduction à l' étude des Variétés Kählériennes, Actualités, scientifiques et industrielles 1267, Publications de l'Institut de Mathématique de l'Université de Nancago VI (Hermann, Paris), 175 pp., 2000 francs. André Weil, Introduction à l' étude des Variétés Kählériennes, Actualités, scientifiques et industrielles 1267, Publications de l'Institut de Mathématique de l'Université de Nancago VI (Hermann, Paris), 175 pp., 2000 francs.

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D. J. Simms

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 190 - 190

DOI: http://dx.doi.org/10.1017/S0013091500021805 (About DOI), Published online: 20 January 2009

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Z. Kopal, Numerical Analysis (Chapman & Hall, London, 1955), 570 pp., 63s. Z. Kopal, Numerical Analysis (Chapman & Hall, London, 1955), 570 pp., 63s.

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D. C. Gilles

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 190 - 191

DOI: http://dx.doi.org/10.1017/S0013091500021817 (About DOI), Published online: 20 January 2009

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J. T. Culbertson, Mathematics and Logic for Digital Devices, (D. van Nostrand Co., Ltd., London, 1958), 217 pp., 36s J. T. Culbertson, Mathematics and Logic for Digital Devices, (D. van Nostrand Co., Ltd., London, 1958), 217 pp., 36s

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D. C. Gilles

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 191 - 191

DOI: http://dx.doi.org/10.1017/S0013091500021829 (About DOI), Published online: 20 January 2009

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S. N. Roy, Some Aspects of Multivariate Analysis (John Wiley & Sons), 214 pp., £3, 4s. S. N. Roy, Some Aspects of Multivariate Analysis (John Wiley & Sons), 214 pp., £3, 4s.

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S. D. Silvey

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 191 - 192

DOI: http://dx.doi.org/10.1017/S0013091500021830 (About DOI), Published online: 20 January 2009

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T. W. Anderson, Introduction to Multivariate Statistical Analysis, (John Wiley & Sons), 374 pp., £5. T. W. Anderson, Introduction to Multivariate Statistical Analysis, (John Wiley & Sons), 374 pp., £5.

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S. D. Silvey

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 192 - 193

DOI: http://dx.doi.org/10.1017/S0013091500021842 (About DOI), Published online: 20 January 2009

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James B. Scarborough, The Gyroscope—Theory and Application, (Interscience Publishers, New York and London, 1958), pp. xii + 257, $6.50. James B. Scarborough, The Gyroscope—Theory and Application, (Interscience Publishers, New York and London, 1958), pp. xii + 257, \$6.50.

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J. C. Gunn

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 193 - 193

DOI: http://dx.doi.org/10.1017/S0013091500021854 (About DOI), Published online: 20 January 2009

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E. A. Maxwell, Fallacies in Mathematics, (Cambridge University Press 1955), 95 pp., 13s. 6d. E. A. Maxwell, Fallacies in Mathematics, (Cambridge University Press 1955), 95 pp., 13s. 6d.

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W. Craig

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 193 - 194

DOI: http://dx.doi.org/10.1017/S0013091500021866 (About DOI), Published online: 20 January 2009

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R. Deaux, Introduction to the Geometry of Complex Numbers, translated by H. Eves (Ungar Publishing Co., New York, 1957) pp. 208. R. Deaux, Introduction to the Geometry of Complex Numbers, translated by H. Eves (Ungar Publishing Co., New York, 1957) pp. 208.

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D. Martin

Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp 194 - 194

DOI: http://dx.doi.org/10.1017/S0013091500021878 (About DOI), Published online: 20 January 2009

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Front matter

PEM volume 11 issue 3 Cover and Front matter PEM volume 11 issue 3 Cover and Front matter

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Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp f1 - f2

DOI: http://dx.doi.org/10.1017/S001309150002157X (About DOI), Published online: 20 January 2009

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Back matter

PEM volume 11 issue 3 Cover and Back matter PEM volume 11 issue 3 Cover and Back matter

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Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 11 / Issue 03 / May 1959, pp b1 - b2

DOI: http://dx.doi.org/10.1017/S0013091500021581 (About DOI), Published online: 20 January 2009

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