III. BOOK REVIEWS

Activity analysis of production and alloca­tion. Ed. by T. C. Koopmans. J. Wolfo-witz, 58, 395.

Advances in applied mechanics. Vol. II. Ed. by R. von Mises and T. von Kârmân. C. Truesdell, 58, 403.

Ackermann, W. See Hubert, D. Agnew, R. P. See Hyslop, J. M., McShane,

E . J . Aharoni, J. Antennae: An introduction to

their theory. S. A. Schelkunoff, 54, 105. Ahlfors, L. V. Complex analysis. A. C.

Schaeffer, 59, 464. See Morse, M., Schaeffer, A. C.

Albert, A. A. See Artin, E. Allendoerfer, C. B. See Blaschke, W.,

Coxeter, H. S. M. Archibald, R. C. See Enciclopedia delle

matematiche elementari. Arens, R. See Loomis, L. H. Artin, E. Galois theory. With a chapter on

applications by A. N. Milgram. A. A. Albert, 51, 359.

See Bourbaki, N. Artin, E., Nesbitt, C. J., and Thrall, R. M.

Rings with minimum condition. O. F. G. Schilling, 51, 510.

Atti del Quarto Congress o delV Unione Matematica Italiana tenuto in Taormina net giorni 25-31 Ottobre 1951. 60, 288.

Atti del Terzo Congresso delV Unione Mate­matica Italiana tenuto in Pisa nei giorni 23-26 Settembre 1948. 58, 103.

Baer, R. Linear algebra and projective ge­ometry. I. Kaplansky, 59, 400.

See Jacobson, N. Bagemihl, F. See Borel, É., Novozhilov,

V. V., Pontryagin, L. S. Banach, S. Mechanics. Trans, by E. J.

Scott. E. J. Moulton, 58, 399. Barcan Marcus, R. See Curry, H. B. Barzun, J. See Hadamard, J. Bass, J. Les méthodes modernes du calcul des

probabilités et leur application au prob­lème de la turbulence. M. Loève, 55, 864.

Bateman, H., See Erdélyi, A.

Bateman, P. T. See Bohr, H., Davenport, H., Neville, E. H.

Beckenbach, E. F. See Construction and applications of conformai maps.

Behari, R. The differential geometry of ruled surfaces. J. DeCicco, 55, 313.

Behnke, H. See Bergman, S. Beliaev, N. M. See Kachanov, L. N. Bell, E. T. See Laplace, P. S. Bellman, R. Stability theory of differential

equations. F. Haas, 60, 400. See Fltigge-Lotz, I.

Bennett, A. A. See Quine, W. V. O. Bergman, S. Sur la fonction noyau d'un

domaine et ses applications dans la théorie du transformations pseudocon­formes. H. Behnke, 57, 186.

The kernel function and conformai napping. H. Behnke, 58, 76.

Bergmann, P. G. See Costa de Beaure­gard, O.

Bernstein, D. L. Existence theorems in par­tial differential equations. F.John, 57,323.

Bers, L. See Michal, A. D. Berzolari, L. See Enciclopedia delle mate­

matiche elementari. Bessel functions. Part II. Functions of posi­

tive integer order. Ed. by W. G. Bickley, L. J. Comrie, J. C. P. Miller, D. H. Sadler, and A. J. Thompson. A. Erdélyi, 59, 189.

Bianchi, L. Opère. Vol. 1, part 1. 59, 416. Opère. Vol. 1, part, 2. 60, 288. Opère. Vol. 2. Applicabilité e problemi

di deformazione. 60, 414. Bickley, W. G. See Bessel functions. Bieberbach, L. Einfiihrung in die Funk-

tionentheorie. M. Heins, 58, 519. Bing, R. H. See Sierpinski, W. Birkhoff, G. Lattice theory. R. P. Dilworth,

56, 204. Hydrodynamics, a study in logict fact,

and similitude. J. J. Stoker, 57, 497; 58, 696.

See Kiss, S. A., Tarski, A. Birkhoff, G., and MacLane, S. A survey of

modem algebra. Rev. ed. 60, 94.

19

20 INDEX—VOLUMES 51-60

Birkhoff, G. D. Collected mathematical pa­pers. 57, 163.

Blanch, G. See Tables. Blaschke, W. Einführung in die Differen-

tialgeometrie. C. B. Allendoerfer, 57, 84. See Gamier, R.

Bliss, G, A. Lectures on the calculus of variationst M. R. Hestenes, 53, 462.

Blumenthal, L. M. Theory and applications of distance geometry. J. Haantjes, 60, 272.

See Coolidge, J. L., Segre, B. Boas, R. P. See Cantor, G., Herland, L.,

Journal d'Analyse Mathématique, Jour­nal of Rational Mechanics and Analysis, Laplace, P. S., Mathematica Scandi-navica, The Michigan Mathematical Journal, Nordisk Matematisk Tidskrift.

Bochner, S. See Cinquini, S., Halperin, I., Hille, E., Schwartz, L., Yano, K., Zygmund, A.

Bochner, S. and Chandrasekharan, K. Fourier transforms. I. E. Segal, 56, 526.

Bohnenblust, F. See Sansone, G. Bohr, H. Collected mathematical works. Ed.

by E. F01ner and B. Jessen. P. T. Bateman, 60, 576.

Bol, G. Projektive Differ entialgeometrie. V. Dalla Volta, 57, 398.

Bompiani, E. See Struik, D. J. Boothby, W. M. See Yano, K. Borel, É. Les nombres inaccessibles. F.

Bagemihl, 59, 406. Bourbaki, N. Intégration. P. R. Halmos,

59, 249. Éléments de mathématique. Book II.

Algebra. Chaps. I-VIL E. Artin, 59, 474. Bourgin, D. G. See Sternberg, W. J. Bouwkamp, C. J. See Tables. Bowman, F, Introduction to elliptic func­

tions with applications. F. G. Tricomi, 60, 587.

Brand, L. Vector and tensor analysis. P. Franklin, 54, 491.

Brauer, R. See MacDuffee, C. C. Bremmer, H. See van der Pol, B. Brillouin, L. See Electromagnetic theory. de Broglie, L. Problèmes de propagations

guidées des ondes électromagnétiques. A. E. Heins, 58, 100.

Buchholz, H. Die konfluente hypergeo­

metrische Funktion mit besonderer Be~ riicksichtigung ihrer Anwendungen. A. Erdélyi, 60, 185.

Buck, R. C. See Cooke, R. G. Burckhardt, J. J. Die Bewegungsgruppen

der Kristallographie. J. S. Frame, 54, 298. Burgess, R. W. See Wilks, S. S. Burkill, J. C. The Lébesgue integral, L. H.

Loomis, 59, 89. Busemann, H. See Finsler, P., Sen, R. N.

Calderón, A. P. See Zygmund, A. Cambi, E. Eleven and fifteen-place tables of

Bessel functions of the first kind, to all significant orders. E. R. Lorch, 55, 78.

Cantor, G. Contributions to the founding of the theory of transfinite numbers» Trans, by P. E. B. Jourdain. R. P. Boas, 58, 681.

Carathéodory, C. Funktionentheorie. M. Heins, 57, 190.

Conformai representation. Z. Nehari 60, 281.

Theory of functions of a complex varia­ble. Vol. 1. Trans, by F. Steinhardt, 60, 588.

Cartan, E. Les systèmes différentiels ex­térieurs et leurs applications géométriques. J. M. Thomas, 53, 261.

Casorati, F. Opère. Vol. 1. 58, 103. Chandrasekhar, S. Principles of stellar

dynamics. D. C. Lewis, 51, 504. Chandrasekharan, K. See Bochner, S.,

Denjoy, A. Chandrasekharan, K., and Minakshisun-

daram, S. Typical means. B. Kuttner, 60, 85.

Charrueau, A. Complexes linéaires. Fais­ceaux de complexes linéaires. Suites et cycles de complexes linéaires conjugués. A. T. Schafer, 60, 283.

Chebyshev, P. L. Collected works. Vol. 1. Theory of numbers. J. V. Uspensky, 52, 50.

Chern, S. S. See Weil, A., Wu, W. T. Chevalley, C. The theory of Lie groups, I.

P. A. Smith, 53, 884. Introduction to the theory of algebraic

functions of one variable. A. Weil, 57, 384.

BOOK REVIEWS 21

The algebraic theory of spinors. J. Dieudonné, 60, 408.

See Hasse, H. Chung, K. L. See Doob, J. L. Church, A. Introduction to mathematical

logic. Part I. O. Frink, Jr., 51, 863. Churchill, R. V. See Tranter, C. J. Cinquini, S. Funzioni quasi-periodieke. S.

Bochner, 57, 331. Clarkson, J. A. See Graves, L. M. Coburn, N. See Relton, F. E. Coddington, E. A. See Hayashi, C. Cohen, L. W. See Ritt, J. F. Collar, A. R. See Frazer, R. A. Collatz, L. Numerische Behandlung von

Differentialgleichungen, W. E. Milne, 59, 94.

Colloque de Topologie. (Espaces fibres). W. S. Massey, 58, 278.

Colloque sur les fonctions de plusieurs vari­ables, 60, 587.

Comrie, L. J. See Bessel functions. Construction and applications of conformai

maps. Ed. by E. F. Beckenbach. 59, 484. Contributions to the theory of games. Ed.

by H. W. Kuhn and A. W. Tucker. J. Wolfowitz, 57, 495.

Contributions to the theory of games. Vol. 2. Ed. by H. W. Kuhn and A. W. Tucker. J. Wolfowitz, 60, 90.

Cooke, R. G. Infinite matrices and se­quence spaces. R. C. Buck, 58, 272.

Coolidge, J. L. A history of the conic sections and quadric surfaces. L. M. Blumenthal, 53, 36.

Copeland, A. H. See von Neumann, J. Costa de Beauregard, O. La théorie de la

relativité restrainte. P. G. Bergmann, 57, 188.

Courant, R. Dirichlet's principle, conformai mapping, and minimal surfaces. With an appendix by M. Schiffer. H. Grunsky, 58, 95.

Courant, R., and Friedrichs, K. O. Super­sonic flow and shock waves. C. C. Lin, 57, 85.

Courant, R. and Hubert, D. Methods of mathematical physics. Vol. I. A. Wein-stein, 60, 578.

Coxeter, H. S. M. Regular polytopes. C. B.

Allendoerfer, 55, 721. The real projective plane. P. DuVal,

56, 376, 528. See Fejes Tóth, L., Hodge, W. V. D.,

Verriest, G. Cramer, H. Mathematical methods of sta­

tistics. H. Scheffé, 53, 733. Cross, P. C. See Margenau, H. Curry, H. B. A theory of formal deducibility.

D. Nelson, 58, 415. Leçons de logique algébrique. R. Bar-

can Marcus, 58, 673. See Hubert, D., Rosser, J . B .

Curtis, M. L. See Hilton, P. J.

Dalla Volta, V. See Bol, G. Davenport, H. The higher arithmetic. P. T.

Bateman, 59, 473. Davis, H. T. See Sakellariou, N. Davis, P. See Sikkema, P. C. Day, M. M. See Hamburger, H. L.,

Schatten, R. DeCicco, J. See Behari, R., Sokolnikoff,

I. S., Synge, J. L. Dedekind, R. See Riemann, B. Denjoy, A. Leçons sur le calcul des co­

efficients d'une séries trigonométrique. K. Chandrasekharan, 57, 153.

Deuxième Colloque de Géométrie Algébrique. M. Rosenlicht, 59, 415.

Diaz, J. B. See Pólya, G. Dieudonné, J. Sur les groupes classiques.

E. R. Kolchin, 55, 317. See Chevalley, C , Jacobson, N.,

Mayrhofer, K., Nachbin, L. Dilworth, R. P. See Birkhoff, G., Rennie,

B. C. Dini, U. Opère. Vol. 1. 60, 288. Doetsch, G. Handbuch der Laplace-

Transformation. Vol. I. Theorie der Laplace-Transformation. E. Hille, 58, 670.

See Voelker, D. Doob, J. L. Stochastic processes. K. L.

Chung, 60, 190. See Fréchet, M.

Dubreil, P. Algèbre. Vol. 1. Equivalences, opérations, groupes, anneaux, corps. O. F. G. Schilling, 53, 739.

Duncan, W. J. See Frazer, R. A.

22 INDEX—VOLUMES 51-60

DuVal, P. See Coxeter, H. S. M., Segre, B., Semple, J. G.

Dwyer, P. S. Linear computations. H. H. Goldstine, 58, 680.

Eilenberg, S. See Wilder, R. L. Einstein, A. The meaning of relativity, 57,

207; 59, 485. Electromagnetic theory. L. Brillouin, 56,

375, 528. Emory, F. L. See Laplace, P. S. Enciclopedia delle matematiche elementari e

complementi con estensione alle principali teorie analitiche, geometriche e fisiche. Loro applicazione e notizie storico-bibliografiche. Vol. 3, Ed. by L. Berzolari. R. C. Archibald, 56, 517.

Erdélyi, A. See Bes sel functions, Buchholz, H., van der Pol, B., Schwank, F., Snow, C , Tables, Tricomi, F. G., Voelker, D.

Erdélyi, A., Magnus, W., Oberhettinger, F., and Tricomi, F. G. Higher transcen­dental functions. Based in part on notes left by Harry Bateman and compiled by the staff of the Bateman Manuscript Project. G. Szegö, 60, 405.

Estermann, T. Introduction to modern prime number theory. L. Schoenfeld, 59, 255.

Fédérer, H. See Hahn, H. Fejes, Tóth, L. Lagerungen in der Ebene,

auf der Kugel und im Raum. H. S. M. Coxeter, 60, 202.

Feller, W. An introduction to probability theory and its applications. Vol. I. J. Wolfowitz, 57, 156.

Fialkow, A. D. See Finzi, B. Fichera, G. See Picone, M. Finsler, P. Über Kurven und Fldchen in all-

gemeinen Raumen. With a bibliography by H. Schubert. H. Busemann, 58, 102.

Finzi, B., and Pastori, M. Calcolo tensoriale e applicazioni. A. D. Fialkow, 56, 206.

Fletcher, A., Miller, J. C. P., and Rosen-head, L. An index of mathematical tables. E. R. Lorch, 53, 891.

Flood, M. M. See Samuelson, P. A. Flügge, W. Four-place tables of transcen­

dental functions. 60, 414.

Flügge-Lotz, I. Discontinuous automatic control. R. Bellman, 60, 401.

Fluid dynamics. 59, 485. F^lner, E. See Bohr, H. Forsythe, G. E. See Householder, A. S. Fort, T. Finite differences and difference

equations in the real domain. W. Strodt, 55, 312.

Fox, C. An introduction to the calculus of variations. L. M. Graves, 57, 207.

Fraenkel, A. A. Abstract set theory. P. R. Halmos, 59, 584.

Frame, J. S. See Burckhardt, J. J. Franklin, P. See Brand, L. Frazer, R. A., Duncan, W. J., and Collar,

A. R. Elementary matrices and some ap­plications to dynamics and differential equations. F. D. Murnaghan, 53, 466.

Fréchet, M. Généralités sur les probabilités. Éléments aléatoires. With a note by P. Levy. J. L. Doob, 57, 206.

Pages choisies d'analyse générale. T. H. Hildebrandt, 60, 572.

The French bibliographical digest. No. 6. 57, 208.

Friedman, B. See Lyttleton, R. A., Trues-deli, C.

Friedrichs, K. O. Mathematical aspects of the quantum theory of fields. I. E. Segal, 60, 575.

See Courant, R. Frink, O. See Church, A., Robinson, A.,

Wilder, R. L. Fuchs, W. H. J. See McLachlan, N. W.t

Mandelbrojt, S., Rothe, R. Funk, P., Sagan, H., and Selig, F. Die

Laplace-Transformation und ihre An-wendung. D. V. Widder, 60, 286.

Gâl, I. N. See Tarski, A. Galois, Ê. Oeuvres mathématiques d'Êvar-

iste Galois publiées en 1897, suivies d'une notice sur Évariste Galois et la théorie des équations algébriques par G. Verriest. 57, 208.

Garnier, R. Cours de cinématique. W. Blaschke, 58, 504.

Gauss, C. F. Recherches arithmétiques. Trans, by A. C. M. Poullet-Delisle. 60, 94.

BOOK REVIEWS 23

Geiringer, H. See Hill, R., Non-linear problems in mechanics of continua.

Ghaffari, A. G. The hodograph method in gas dynamics, C. C. Lin, 57, 502.

Gill, S. See Wilkes, M. V. Gleyzal, A. N. See Kachanov, L. N. Gloden, A. Tables des solutions de la con-

gruence » 4 + l s 0 (mod. p) pour 350.000 <£<500.000. E. R. Lorch, 53, 892.

Godeaux, L. Les transformations biration-nelles du plan. 59, 485.

Goffman, C. Real functions. M. E. Munroe, 59, 572.

Goldstein, H. Classical mechanics. E. J. Moulton, 58, 396.

Goldstine, H. H. See Dwyer, P. S., Mur­ray, F. J.

Goodman, A. W. See Kaplan, W., Thron, W. J.

Grad, A. See Schaeffer, A. C. Graves, L. M. The theory of f unctions of

real variables. J. A. Clarkson, 54, 487. See Fox, C , Levy, P.

Grimshaw, M. E., See Hamburger, H. L. Grobner, W. Moderne algebraische Geome­

tric Die idealtheoretischen Grundlagen. A. Seidenberg, 57, 87.

Grunsky, H. See Courant, R.

Haantjes, J. See Blumenthal, L. M. Haas, F. See Bellman, R. Hadamard, J. An essay on the psychology

of invention in the mathematical field. J. Barzun, 52, 222.

Hahn, H., and Rosenthal, A. Set functions. H. Fédérer, 55, 316.

Hall, N. A. See König, R. Halmos, P. R. Introduction to Hilbert space

and the theory of spectral multiplicity. E. R. Lorch, 58, 412.

Measure theory. J. C. Oxtoby, 59, 89. See Bourbaki, N., Fraenkel, A. A.,

Picone, M., Tietze, H., Wang, H., Zaanen, A. C.

Halperin, I. Introduction to the theory of distribution. Based on lectures by L. Schwartz. S. Bochner, 58, 679.

Hamburger, H. L., and Grimshaw, M. E. Linear transformations in n-dimensional vector space. An introduction to the theory

of Hilbert space. M. M. Day, 59, 98. Hamel, G. Theoretische Mechanik. Eine

einheitliche Einfiihrung in die gesamte mechanik. W. Prager, 57, 159.

Hardy, G. H. Divergent series. O. Szâsz, 56, 472.

Hardy, G. H., Littlewood, J. E., and Pólya, G. Inequalities. A. Zygmund, 59, 411.

Hardy, G. H., and Rogosinski, W. W. Fourier series. M. H. Heins, 51, 212.

Fourier series. 58, 419. Hasse, H. Über die Klassezahl abels cher

Zahlkörper. C. Chevalley, 59, 281. Mathematik als wissenschaft, Kunst

und Macht. R. L. Wilder, 60, 181. Hausner, H. H. See Kachanov, L. N. Hay, G. E. See Sokolnikoff, I. S. Hayashi, C. Forced oscillations in non­

linear systems. E. A. Coddington, 60, 579.

Heins, A. E. See de Broglie, L., Sneddon, I. Heins, M. H. See Bieberbach, L., Cara-

théodory, C., Hardy, G. H., Saks, S., Valiron, G.

Herland, L. Dictonary of mathematical sciences. Vol. 1. German-English. R. P. Boas, 58, 505.

Herzberger, M. See Luneberg, R. K. Hestenes, M. R. See Bliss, G. A. Hilbert, D. See Courant, R. Hilbert, D., and Ackermann, W. Grund-

züge der theoretischen Logik. H. B. Curry, 59, 263.

Principles of mathematical logic. Trans, by G. G. Leckie and F. Stein-hardt. Ed. by R. E. Luce. H. B. Curry, 59, 263.

Hildebrandt, T. H. See Fréchet, M. Hill, R. The mathematical theory of plas­

ticity. H. Geiringer, 58, 507. Hille, E. Functional analysis and semi­

groups, S. Bochner, 55, 528. See Doetsch, G., Sansone, G., Severi,

F., Vitali, G. Hilton, P. J. An introduction to homotopy

theory. M. L. Curtis, 60, 182. Hirschman, I. I., Jr. See Lorentz, G. G. Hlavaty, V. See Vranceanu, G. Hochschild, G. See Schilling, O. F. G.

24 INDEX—VOLUMES 51-60

Hodge, P. G. See Prager, W. Hodge, W. V. D. The theory and applica­

tions of harmonic integrals. 59, 415. Hodge, W. V. D. and Pedoe, D. Methods of

algebraic geometry. H. S. M. Coxeter, 55, 315.

Methods of algebraic geometry. Vol. 2. H. S. M. Coxeter, 58, 678.

Hollcroft, T. R. See Maxwell, E. A. Hotelling, H. See Kendall, M. G. Householder, A. S, Principles of numerical

analysis. G. E. Forsythe, 60, 488. See Rashevsky, N.

Howarth, L. See McShane, E. J. Hyslop, J. M. Infinite series. R. P. Agnew,

51, 356.

Ilyushin, A. A. See Kachanov, L. N.

Jacobson, N. The theory of rings. R. Baer, 52, 220.

Lectures in abstract algebra. Vol. I. Basic concepts. W. H. Mills, 58, 579.

Lectures in abstract algebra. Vol. II. Linear algebra. J. Dieudonné, 59, 480.

James, R. D. See Siegel, C. L. Jeffery, R. L. The theory of functions of a

real variable. A. Rosenthal, 58, 517. Jeffreys, B. S. See Jeffreys, H. Jeffreys, H., and Jeffreys, B. S. Methods of

mathematical physics. J. L. Synge, 54, 300.

Jellinek, K. Weltsystem, Weltâther und die Relativiteitstheorie, A. Schild, 57, 161.

Jessen, B. See Bohr, H. John, F. See Bernstein, D. L. Jones, A. W. See Piccard, S. Jourdain, P. E. B. See Cantor, G. Journal d'Analyse Mathématique, R. P.

Boas, 60, 285. Journal of Rational Mechanics and Analy­

sis. R. P. Boas, 59, 191.

Kac, M. See Proceedings of the Berkeley Symposium on Mathematical Statistics and Probability.

Kachanov, L. N., Beliaev, N. M., Ilyushin, A. A., Mostow, W. and Gleyzal, A, N. Plastic deformation. Ed. by H. H. Hausner. I. S. Sokolnikoff, 56, 192.

Kakutani, S. See Wiener, N.

Kaplan, W. A first course in functions of a complex variable. A. W. Goodman, 60, 276.

See McLachlan, N. W. Kaplansky, I. See Baer, R. von Kârmân, T. See Advances in applied

mechanics. Kelley, J. L. See McShane, E. J. Kendall, D. G. See Mann, H. B. Kendall, M. G. The advanced theory of sta­

tistics. Vol. 1. H. Hotelling, 51, 214. The advanced theory of statistics. Vol.

2. H. Hotelling, 54, 863. Kiss, S. A. Transformations on lattices and

structures of logic. G. Birkhoff, 54, 675. Kleene, S. C. See Péter, R. Kneebone, G. T. See Semple, J. G. Kolchin, E. R. See Dieudonné, J., Tsche-

botaröw, N. Komm, H. See Novozhilov, V. V., Pon-

tryagin, L. S. König, R., and Weise, K. H. Mathematische

Grundlagen der höheren Geodüsie und Kartographie. Vol. I. N. A. Hall, 58, 98.

Koopmans, T. C. See Activity analysis of production and allocation.

Krieger, C. C. See Sierpinski, W. Kuhn, H. W. See Contributions to the theory

of games. van der Kulk, W. See Schouten, J. A. Kuratowski, C. Topologie I. Espaces

mêtrisables, espaces complets. G. T. Whyburn, 58, 265.

Topologie II. Espaces compacts, es­paces connexes, plan euclidien. G. T. Whyburn, 58, 265.

Topologie. Vol. I. 59, 484. Topologie. Vol. II. 60, 94.

Kuttner, B. See Chandrasekharan, K.

Lanczos, C. The variational principles of mechanics. D. C. Lewis, 57, 88.

Landahl, H. D. See Luneberg, R. K. Laplace, P. S. A philosophical essay on

probabilities. Trans, by F. W. Truscott and F. L. Emory. With an introductory note by E. T. Bell. R. P. Boas, 58, 682.

Lappo-Danilevsky, J. A. Mémoires sur la théorie des systèmes des équations différ­entielles linéaires. 59, 485.

Leckie, G. G. See Hubert, D.

BOOK REVIEWS 25

Lefschetz, S. Lectures on differential equa­tions. L. A. MacColl, 53, 887.

Levi, H. See Walker, R. J. Levinson, N. See Sauer, R., Titchmarsh,

E. C. Levy, P. Problèmes concrets d'analyse

fonctionnelle. L. M. Graves, 58, 408. See Fréchet, M.

Lewis, D. C. See Chandrasekhar, S., Lanczos, C.

Lewy, H. See Riemann, B. Lichnerowicz, A. Algèbre et analyse liné­

aires. G. W. Mackey, 54, 1094. Lin, C. C. See Courant, R., Ghaffari, A. G. Littlewood, D. E. A university algebra. D.

Zelinsky, 59, 97. Littlewood, J. E. Lectures on the theory of

functions. D. C. Spencer, 52, 51. See Hardy, G. H.

Loève, M. See Bass, J., Munroe, M. E. Loomis, L. H. An introduction to abstract

harmonie analysis. R. Arens, 60, 279. See Burkill, J. C , Rogosinski, W. W.

Lorch, E. R. See Cambi, E., Fletcher, A., Gloden, A., Halmos, P. R., Parke, N. G., Picone, M., Riesz, F., Ritt, J. F., Tables.

Lorentz, G. G. Bernstein polynomials. L I . Hirschman, Jr. 60, 277.

Luce, R. E. See Hubert, D. Luneberg, R. K. Mathematical theory of

optics. M. Herzberger and R. v. Mises, 51, 865; 52, 225.

Mathematical analysis of binocular vision. H. D. Landahl, 55, 866.

Lyttleton, R. A. The stability of rotating liquid masses. B. Friedman, 60, 497.

McCoy, N. H. Rings and ideals. C. C. MacDuffee, 55, 864.

McKinsey, J. C. C. Introduction to the theory of games. J. Wolfowitz, 59, 267.

See Schmidt, A. McLachlan, N. W. Theory and application

of Mathieu functions. L. H. Thomas, 54, 1093,

Ordinary non-linear differential equa­tions in engineering and physical sciences. W. Kaplan, 58, 583.

Complex variable theory and transform calculus. W. H. J. Fuchs, 60, 402.

McNaughton, R. See Tarski, A., Wang, H.

McShane, E. J. Integration. R. P. Agnew, 51, 51.

See Radó, T. McShane, E. J., Kelley, J. L., and Reno,

F. V. Exterior ballistics. L. Howarth, 60, 274.

McVittie, G. C. See Truesdell, C. Maak, W. Darstellungstheorie unendlicher

Gruppen und fastperiodische Funktionen. I. E. Segal, 60, 569.

MacColl, L. A. See Lefschetz, S., Wiener, N.

MacDuffee, C. C. Vectors and matrices. R. Brauer, 52, 405.

See McCoy, N. H. Mackey, G. W. See Lichnerowicz, A. MacLane, S., See Birkhoff, G., Pollard, H. Magnus, W. See Erdélyi, A., Oberhet-

tinger, F. Magnus, W., and Oberhettinger, F.

Formeln und Satze filr die speziellen Funktionen der mathematischen Physik. M. A. Melvin, 56, 198.

Mandelbrojt, S. Séries adhérentes. Régular­isation des suites. Applications. W. H. J. Fuchs, 59, 413.

Mann, H. B. Introduction to the theory of stochastic processes depending on a con­tinuous parameter. D. G. Kendall, 60, 582.

A manual of operation for the automatic se­quence controlled calculator. F. J. Mur­ray, 53, 267.

Marden, M. The geometry of the zeros of a polynomial in a complex variable. I. M. Sheffer, 56, 78.

See Walsh, J. L. Margenau, H., and Murphy, G. M. The

mathematics of physics and chemistry. P. C. Cross, 51, 508.

Massey, W. S. See Colloque de Topologie, Pontryagin, L. S.

Mathematica Scandinavica. R. P. Boas, 60, 92.

Maxwell, E. A. The methods of plane pro­jective geometry based on the use of general homogeneous coordinates. T. R. Hollcroft, 54, 868.

Mayrhofer, K. Inhalt und Mass. J. Dieu-donné, 59, 479.

Melvin, M. A. See Magnus, W.

26 INDEX—VOLUMES 51-60

Michal, A. D. Matrix and tensor calculus with applications to mechanics, elasticity, and aeronautics. L. Bers, 54, 1092.

The Michigan Mathematical Journal. R. P. Boas, 59, 483.

The Michigan Mathematical Journal. Vol. 2, no. 1. R. P. Boas, 60, 586.

Milgram, A. N. See Artin, E. Miller, J. C. P. See Bessel functions,

Fletcher, A. Mills, W. H. See Jacobson, N. Milne, W. E. Numerical solution of differ­

ential equations. D. Young, 59, 577. See Collatz, L.

Minakshisundaram, S. See Chandrasek-haran, K.

Minorsky, N. See Stoker, J. J. Miscellaneous physical tables. Planck's ra­

diation f unctions and electronic functions. A. O. Williams, Jr., 51, 358.

Mises, R. v. See Advances in applied mechanics, Luneberg, R. K.

Moore, C. N. See Watson, G. N. Morehead, J. C , and Morehead, J. C , Jr.

A handbook of perspective drawing. W. H. Roever, 51, 216.

Morehead, J. C , Jr. See Morehead, J. C. Morgenstern, O. See von Neumann, J. Morse, M. Topological methods in the theory

of functions of a complex variable. L. Ahlfors, 54, 489.

See Zygmund, A. Mosak, J. L. General equilibrium theory in

international trade. P. A. Samuelson, 52, 52.

Mostow, W. See Kachanov, L. N. Mostowski, A. See Tarski, A. Moulton, E. J. See Banach, S., Goldstein,

H. Munroe, M. E. Introduction to measure and

integration. M. Loève, 60, 89. See Goffman, C., Rudin, W., Thiel-

man, H. P. Murnaghan, F. D. Finite deformation of an

elastic solid. C. Truesdell, 58, 577. See Frazer, R. A.

Murphy, G. M. See Margenau, H. Murray, F. J. The theory of mathematical

machines. H. H. Golds tine, 53, 893. See A manual of operation for the

automatic sequence controlled calculator, Tricomi, F., Willers, F. A.

Nachbin, L. Espaços vetoriais topologicos 1. J. Dieudonné, 58, 268.

Nagell, T. Introduction to number theory. L. Schoenfeld, 58, 580.

Nehari, Z. Conformai mapping. G. Spring­er, 58, 515.

See Carathéodory, C. Nelson, D. See Curry, H. B. Nesbitt, C. J. See Artin, E. von Neumann, J., and Morgenstern, O.

Theory of games and economic behavior. A. H. Copeland, 51, 498.

Neville, E. H. Jacobian elliptic functions. W. Seidel, 52, 604. The Farey series of order 1025, dis­

playing solutions of the diophantine equa­tion bx—ay~l. P. T. Bateman, 57, 325.

Newman, M. H. A. Elements of the topology of plane sets of points. P. A. Smith, 58, 101.

Neyman, J. See Proceedings of the Berkeley Symposium on Mathematical Statistics and Probability, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability.

Noether, M. See Riemann, B. Non-linear problems in mechanics of con­

tinua. H. Geiringer, 56, 269. Nordisk Matematisk Tidskrift. R. P.

Boas, 60, 93. Northcott, D. G. Ideal theory. M. Rosen-

licht, 60, 282. Novak, I. L. See Rosenbloom, P. C. Novozhilov, V. V. Foundations of the non­

linear theory of elasticity. Trans, by F. Bagemihl, H. Komm, and W. Seidel. C. Truesdell, 59, 467.

Oberhettinger, F. See Erdélyi, A., Magnus, W.

Oberhettinger, F., and Magnus, W. An-wendung der elliptischen Funktionen in Physik und Technik. W. Seidel, 57, 204.

Ostrowski, A. Vorlesungen iiber differentiat­ed Integralrechnung. Vol. I. Funktionen einer Variablen. A. E. Taylor, 52, 798.

Vorlesungen iiber differential- und

BOOK REVIEWS 27

Integralrechnung. Vol. II. Differential-rechnung auf dem Gebiete mehrerer Variablen. A. E. Taylor, 58, 513.

Oxtoby, J. C. See Halmos, P. R.

Paige, L. J. See Simultaneous linear equa­tions and the determination of eigenvalues.

Parke, N. G. Guide to the literature of mathe­matics and physics including related works on engineering science. E. R. Lorch, 55, 78.

Parodi, M. Sur quelques propriétés des valeurs caractéristiques des matrices car­rées. O. Taussky, 59, 464.

Pastori, M. See Finzi, B. Pedoe, D. See Hodge, W. V. D. Peisakoff, M. P. See Wald, A. Pérès, J. Mécanique générale. C. Truesdell,

60, 286. Péter, R. Rekursive Funktionen. S. C.

Kleene, 58, 270. Petrovskij, L G. Vorlesungen Uber die

Theorie der Integralgleichungen. H. Pol­lard, 60, 288.

Piccard, S. Sur les bases du group sym­étrique et les couples de substitutions qui engendrent un groupe régulier. A. W. Jones, 53, 888.

Picone, M., and Fichera, G. Trattato di analisi matematica. Vol. 1. E. R. Lorch, 60, 574.

Picone, M., and Viola, T. Lezioni sulla teoria moderna delVintegrazione. P. R. Halmos, 59, 94.

van der Pol, B., and Bremmer, H. Opera­tional calculus. A. Erdélyi, 57, 319.

Pollard, H. The theory of algebraic numbers. S. MacLane, 57, 162.

See Petrovskij, I. G. Pólya, G. See Hardy, G. H. Polya, G., and Szegö, G. Isoperimetric in­

equalities in mathematical physics. J. B. Diaz, 59, 588.

Pontryagin, L. S. Foundations of combina­torial topology. Trans, by F. Bagemihl, H. Komm, and W. Seidel. W. S. Massey, 59, 188.

Poullet-Delisle, A. C. M. See Gauss, C. F. Prager, W. See Hamel, G. Prager, W., and Hodge, P. G. Theory of

perfectly plastic solids. C. Truesdell, 58, 674.

Premier colloque sur les équations aux dé­rivées partielles. 60, 588.

Proceedings of a Second Symposium on Large-Scale Digital Calculating Ma­chinery. J. Todd, 58, 418.

Proceedings of the Berkeley Symposium on Mathematical Statistics and Probability. Ed. by J. Neyman, M. Kac, 56, 267.

Proceedings of the International Congress of Mathematicians. 58, 419.

Proceedings of the Second Berkeley Sym­posium on Mathematical Statistics and Probability. Ed. by J. Neyman. 59, 192,

Proceedings of the Second Canadian Mathe­matical Congress, Vancouver, 1949.58,280.

Quine, W. V. O. O sentido da nova logica. A. A. Bennett, 51, 509.

Radó, T. Length and area. E. J. McShane, 54, 861.

Rapoport, A. See Rashevsky, N. Rashevsky, N. Mathematical theory of hu­

man relations. An approach to a mathe­matical biology of social phenomena. A. S. Householder, 55, 722.

Mathematical biophysics. A. Rapo­port, 56, 194.

Reeb, G. See Wu, W. T. Reissner, E. See Roy, M. Relton, F. E, Applied Bessel functions.

N. Coburn, 54, 303. Rennie, B. C. The theory of lattices. R. P.

Dilworth, 59, 100. Reno, F. V. See McShane, E. J. Riemann, B. The Collected works of Bern-

hard Riemann. Ed. by H. Weber, with the assistance of R. Dedekind, With a supplement ed. by M. Noether and W. Wirtinger, and a new introduction by H. Lewy. 59, 484.

Riesz, F., and Sz.-Nagy, B. Leçons d'analyse fonctionelle. E. R. Lorch, 59, 270.

Ritt, J. F. Integration infinite terms. E. R. Lorch, 54, 1090.

Theory of functions. L. W. Cohen, 56, 209.

28 INDEX—VOLUMES 51-60

Differential algebra. B. L. van der Waerden, 56, 521.

Robbins, H. See Wald, A. Robinson, A. On the metamathematics of

algebra. O. Frink, 59, 582. Robinson, G. de B. See Rutherford, D. E. Robinson, R. M. See Tarski, A. Roever, W. H. See Morehead, J. C. Rogosinski, W. W. Volume and integral.

L. H. Loomis, 60, 88. See Hardy, G. H.

Rosenbloom, P. C. The elements of mathe­matical logic. I. L. Novak, 58, 266.

Rosenhead, L. See Fletcher, A. Rosenlicht, M. See Deuxième Colloque de

Géométrie Algébrique, Northcott, D. G. Rosenthal, A. See Hahn, H., Jeffery, R. L. Rosser, J. B. Logic for mathematicians.

H. B. Curry, 60, 266. Rothe, R. and Szabó, I. Hbhere Mathe-

matik fur Mathematiker, Physiker, In­genieur e. Part VI. Integration und Reihenentwicklung im Komplexen. Ge-wöhnliche und partielle Differential-gleichungen. W. H. J. Fuchs, 60, 494.

Roy, M. Mécanique des milieux continus et deformables. E. Reissner, 59, 99.

Rudin, W. Principles of mathematical analysis. M. E. Munroe, 59, 572.

Rutherford, D. E. Substitutional analysis. G. de B. Robinson, 55, 1085.

Ruthishauser, H., Speiser, A., and Stiefel, E. Programmgesteuerte digitale Rechen-gerâte (Elektronische Rechenmaschinen). J. Todd, 58, 278.

Sadler, D. H. See Bessel functions. Sagan, H. See Funk, P. Sakellariou, N. 2T<HX«« OeupyiTucijs

yeofMerplas. H. T. Davis, 57, 401. Saks, S., and Zygmund, A. Analytic func­

tions. Trans, by E. J. Scott. M. Heins, 60, 495.

Saizer, H. E. Tables of nf and r(w-f*l/2) for the first thousand values of n. 58, 279.

Samuelson, P. A. Foundations of economic analysis. M. M. Flood, 56, 266.

See Mosak, J. L. Sansone, G. Lezioni nulla teoria delle

funzioni di una variabile complesa. F. Bohnenblust, 54, 1087.

Moderna teoria delle funzione di variabile reale. Part II. Sviluppi in serie di funzioni ortogonali. E. Hille, 58, 681.

See Vitali, G. Sauer, R. Anfangswertprobleme bei partiel-

len Differentialgleichungen. N. Levinson, 59, 410.

Schaeffer, A. C. See Ahlfors, L. V. Schaeffer, A. C. and Spencer, D. C. Coeffi­

cient regions for schlicht functions. With a chapter on The region of values of the derivative of a schlicht function by A. Grad. L. V. Ahlfors, 57, 328.

Schafer, A. T. See Charrueau, A. Schatten, R. A theory of cross-spaces. M. M.

Day, 57, 326. Schefïé, H. See Cramer, H. Schelkunoff, S. A. See Aharoni, J. Schiff, L. I. Quantum mechanics. F. Seitz,

56, 191. Schiffer, M. See Courant, R. Schild, A. See Jellinek, K., Synge, J. L. Schilling, O. F. G. The theory of valuations.

G. Hochschild, 57, 91. See Artin, E., Dubreil, P.

Schmidt, A, Mathematische Grundlagen-forschung. J. C. C. McKinsey, 58, 94.

Schoenfeld, L. See Estermann, T., Nagell, T.

Schouten, J. A., and van der Kulk, W. Pfaff's problem and its generalizations. J. M. Thomas, 57, 94.

Schrödinger, E. Space-time structure. A. H. Taub, 57, 205.

Schubert, H. See Finsler, P. Schwank, F. Randwertprobleme und andere

Anwendungsgebiete der höheren Analysis für Physïker, Mathematiker und In-genieure. A. Erdélyi, 58, 274.

Schwartz, L. Étude des sommes d'exponen­tielles réelles. O. Szâsz, 52, 976.

Théorie des distributions. S. Bochner, 58, 78.

See Halperin, I. Schwerdtfeger, H. See Tschebotaröw, N. Scorza Dragoni, G. See Severi, F. Scott, E. J. See Saks, S. Scott, E. T. See Banach, S. Segal, I. E. See Bochner, S., Friedrichs,

K. O., Maak, W. Segre, B. Lezioni de geometria moderna.

BOOK REVIEWS 29

Vol. 1. Fondamenti di geometria sopra un cor po qualsiasi. L. M. Blumenthal, 57, 192.

Arithmetical questions on algebraic varieties. P . DuVal, 58, 575.

Seidel, W. See Neville, E. H., Novozhilov, V. V., Oberhettinger, F . , Pontryagin, L. S.

Seidenberg, A. See Gröbner, W. Seitz, F . See Schiff, L. I. Selig, F . See Funk, P . Semple, J. G., and Kneebone, G. T . Al­

gebraic projective geometry. P . Du Val., 59, 571.

Sen, R. N . A course of geometry. H. Buse-mann, 60, 287.

Severi, F . , and Scorza Dragoni, G. Lezioni di analisi. Vol. 3. E . Hille, 58, 417.

Sheffer, I. M. See Marden, M. Shohat, J. A., and Tamarkin, J . D. The

problem of moments. D. V. Widder, 51, 860.

The problem of moments. 57, 332. Sibagaki, W. Theory and application of the

gamma function, with a table of the gam-ma function for complex arguments sig­nificant to the sixth decimal place. 59, 485.

Siegel, C. L. Transcendental numbers. R. D. James, 56, 523.

Sierpinski, W. General topology. Trans, by C. C. Krieger. R. H. Bing, 59, 410.

Sikkema, P. C. Differential operators and differential equations of infinite order with constant coefficients. P . Davis, 60, 586.

Simultaneous linear equations and the de­termination of eigenvalues. Ed. by L. J . Paige and O. Taussky. 60, 414.

Smiley, M. F . See Stoll, R. R. Smith, P . A. See Chevalley, C., Newman,

M. H. A. Smith, T. L. See Sternberg, W. J. Sneddon, I. Fourier transforms. A. E.

Heins, 58, 512. Snow, C. Hyper geometric and Legendre

functions with applications to integral equations of potential theory. A. Erdélyi, 60, 580.

Sokolnikoff, I. S. Mathematical theory of elasticity. G. E. Hay, 52, 976.

Tensor analysis. Theory and applica­tions. J . DeCicco, 59, 86.

See Kachanov, L. N . Speiser, A. See Ruthishauer, H. Spencer, D. C. See Littlewood, J . E.,

Schaeffer, A. C. Springer, G. See Nehari, Z. Steinhardt, F . See Carathéodory, C., Hu­

bert, D. Sternberg, W. J., and Smith, T. L. The

theory of potential and spherical harmon­ics, D. G. Bourgin, 53, 464.

Stiefel, E. See Ruthishauser, H. Stoker, J. J. Nonlinear vibrations in me­

chanical and electrical systems. N. Minor-sky, 56, 519.

See Birkhoff, G. Stoll, R. R. Linear algebra and matrix

theory. M. F . Smiley, 59, 96. Strodt, W. See Fort, T., Tricomi, F . Struik, D. J. Lectures on classical differen­

tial geometry. E . Bompiani, 57, 154. Symposium sobre algunos problemas mate-

mdticas que se estân estudiando en Latino America. Punta del Este, 19-21 Di-ciembre 1951. 60, 95.

Synge, J. L. See Jeffreys, H., Weinstock, R.

Synge, J. L., and Schild, A. Tensor calcu­lus. J . DeCicco, 57, 500.

Szabó, I. See Rothe, R. Szâsz, O. See Hardy, G. H., Schwartz, L. Szegö, G. See Erdélyi, A., Pólya, G. Sz.-Nagy, B. See Riesz, F .

Table of arc sin x. E. R. Lorch, 52, 224. Table of arctan x. 60, 94. Table of natural logarithms for arguments

between zero and five to sixteen decimal places. 60, 414.

Tables of associated Legendre functions. E. R. Lorch, 52, 224.

Tables of Bessel functions of fractional order. Vol. I. E. R. Lorch, 55, 79.

Tables of Chebyshev polynomials Sn(x) and Cn(x). 59, 484.

Tables of circular and hyperbolic sines and cosines for radian arguments. 60, 414.

Tables of fractional powers. E . R. Lorch, 53, 266.

Tables of generalized sine- and cosine-integ­ral functions. Parts I and I I . G. Blanch, 56, 196.

30 INDEX—VOLUMES 51-60

Tables of integral transforms. Prepared under the direction of A. Erdélyi. D. V. Widder, 60, 491.

Tables of spherical Bessel functions. Vol. 1. E. R. Lorch, 53, 892.

Tables of spherical Bessel functions. Vol. 2. E. R. Lorch, 55, 78.

Tables of 10*. 60, 414. Tables of the Bessel f unctions of first kind of

orders zero, one, two, and three. E. R. Lorch, 53, 891.

Tables of the Bessel functions of the first kind of orders four, five, six, seven, eight, and nine. E. R. Lorch, 55, 79.

Tables of the error function and of its first twenty derivatives. 58, 279.

Tables of the modified Hankel functions of order one-third and of their derivatives. E. R. Lorch, 53, 266.

Tables relating to Mathieu functions. Char­acteristic values, coefficients, and joining factors. C. J . Bouwkamp, 58, 85.

Tamarkin, J. D. See Shohat, J. A. Tarski, A. Cardinal algebras. G. Birkhoff,

56, 208. A decision method for elementary

algebra and geometry. R. McNaughton, 59, 91.

Tarski, A., Mostowski, A., and Robinson, R. M. Undecidable theories. I . N . Gâl, 60, 570.

Taub, A. H. See Schrödinger, E. Taussky, O. See Parodi, M., Simultaneous

linear equations and the determination of eigenvalues.

Taylor, A. E. See Ostrowski, A. Thielman, H. P. Theory of f unctions of real

variables. M. E. Munroe, 59, 572. Thomas, J. M. See Cartan, E., Schouten,

J. A. Thomas, L. H. See McLachlan, N . W. Thompson, A. J. Logarithmetica Britan­

nica, being a standard table of logarithms to twenty decimal places of the numbers 10,000 to 100,000. 60, 588.

See Bessel functions. Thrall, R. M. See Artin, E. Thron, W. J. Introduction to the theory of

functions of a complex variable. A W. Goodman, 59, 585.

See Wall, H. S.

Tietze, H. Geloste und ungeUste mathe­matische Problème aus alter und neuer Zeit. P . R. Halmos, 57, 502.

Titchmarsh, E. C. Eigenfunction expan­sions associated with second order differ­ential equations. W. J. Trjitzinsky, 54, 485.

The theory of the Riemann zeta-func-tion. N . Levinson, 58, 401.

Todd, J . Table of arctangents of rational numbers. 58, 279.

See Proceedings of a Second Sym­posium on Large-Scale Digital Calculat­ing Machinery, Ruthishauser, H., Wilkes, M. V.

Tong, H. See Vaidyanathaswamy, R. Torrance, C. C. See Widder, D. V. Transue, W. See Zygmund, A. Tranter, C. J. Integral transforms in mathe­

matical physics. R. V. Churchill, 58, 102. Tricomi, F . G. Funzioni analitiche. W.

Strodt, 53, 739. Funzioni ellittiche. 58, 682. Equazione differenziali. F . J. Murray,

56, 195. Lezioni sulle funzioni ipergeometriche

confluenti. A. Erdélyi, 60, 185. See Bowman, F. , Erdélyi, A.

Trjitzinsky, W. J. See Titchmarsh, E. C. Truesdell, C. An essay toward a unified

theory of special functions. B. Friedman, 56, 268.

Vorticity and the thermodynamic state in a gas flow. G. C. McVittie, 60, 493.

See Advances in applied mechanics, Murnaghan, F . D., Novozhilov, V. V., Pérès, J., Prager, W., Westergaard, H. M.

Truscott, F . W. See Laplace, P. S. Tschebotaröw, N. Grundzüge der Galois-

'schen Theorie. Trans, and ed. by H. Schwerdtfeger. E. R. Kolchin, 57, 155.

Tucker, A. W. See Contributions to the theory of games.

Tukey, J. W. See Wald, A.

Uspensky, J. V. See Chebyshev, P. L.

Vaidyanathaswamy, R. A treatise on set topology. Par t I. H. Tong, 54, 1087.

Valiron, G. Cours d'analyse mathématique. M. Heins, 53, 736.

BOOK REVIEWS 31

Verriest, G. Introduction à la géométrie non euclidienne par la méthode élémentaire. H. S. M. Coxeter, 57, 499.

See Galois, É. Viola, T. See Picone, M. Vitali, G., and Sansone, G. Moderna teoria

délie funzioni di variabile reale. E. Hille, 53, 736.

Moderna teoria délie funzioni di variabile reale. Part I. 58, 103.

Moderna teoria délie funzioni di variabile reale. Part II. E. Hille, 58, 681.

Voelker, D., and Doetsch, G. Die zweidi-mensionale Laplace-Transformation. A. Erdélyi, 58, 88.

Vranceanu, G. Leçons de géométrie différen­tielle. V. Hlavat?, 55, 867.

van der Waerden, B. L. Modem algebra. Vols. 1 and 2. D. Zelinsky, 57, 206.

Moderne Algebra. Vol. 1. D. Zelinsky, 57, 206.

See Ritt, J. F. Wald, A. Sequential analysis. M. P. Peisa-

koff and J. W. Tukey, 56, 200. Statistical decision functions. H. Rob-

bins, 57, 383. Walker, R. J. Algebraic curves. H. Levi, 57,

160. Wall, H. S. Analytic theory of continued

fractions. W. J. Thron, 55, 1083. Walsh, J. L. The location of critical points

of analytic and harmonic functions. M. Marden, 57, 194.

Wang, H., and McNaughton, R. Les sys­tèmes axiomatiques de la théorie des en­sembles. P. R. Halmos, 60, 93.

Watson, G. N. A treatise on the theory of Bes sel functions. C. N. Moore, 51, 649.

Wave motion and vibration theory. 60, 588. Weber, H. See Riemann, B. Weil, A. Foundations of algebraic geometry.

O. Zariski, 54, 671. Variétés abêliennes et courbes algé­

briques. S. S. Chern, 56, 202. See Chevalley, C.

Weinstein, A. See Courant, R. Weinstock, R. Calculus of variations with

applications to physics and engineering. J. L. Synge, 59, 402.

Weise, K. H. See König, R. Westergaard, H. M. Theory of elasticity

and plasticity. C. Truesdell, 59, 412. Wheeler, D. J. See Wilkes, M. V. Whyburn, C. T. See Kuratowski, C. Widder, D. V. Advanced calculus. C. C.

Torrance, 54, 104. See Funk, P., Shohat, J. A., Tables.

Wiener, N. Cybernetics. L. A. MacColl, 56, 73.

Extrapolation, interpolation, and smoothing of stationary time series with engineering applications. S. Kakutani, 56, 378.

Wilder, R. L. Topology of manifolds. S, Eilenberg, 56, 75.

Introduction to the foundations of mathematics. O. Frink, 59, 580.

See Hasse, H. Wilkes, M. V., Wheeler, D. J., and Gill, S.

The preparation of programs for an elec­tronic digital computer. J. Todd, 58, 276.

Wilks, S. S. Mathematical statistics. R. W. Burgess, 51, 647.

Willers, F. A. Mathematische Maschinen und Instrumente. F. J. Murray, 59, 100.

Williams, A. O., Jr. See Miscellaneous physical tables.

Wirtinger, W. See Riemann, B. Wolfowitz, J. See Contributions to the theory

of games, Activity analysis of production and allocation, Feller, W., McKinsey, J. C. C.

Wu, W. T., and Reeb, G. Sur les espaces fibres et les variétés feuilletées. S. S. Chern, 59, 258.

Yano, K., and Bochner, S. Curvature and Betti numbers. W. M. Boothby, 60, 404.

Young, D. See Milne, W. E.

Zaanen, A. C. Linear analysis. P. R. Hal­mos, 60, 487.

Zelinsky, D. See Littlewood, D. E., van der Waerden, B. L.

Zariski, O. See Weil, A. Zygmund, A. See Hardy, G. H., Saks, S. Zygmund, A., Transue, W., Morse, M.,

Calderón, A. P., and Bochner, S. Con­tributions to Fourier analysis. 57, 163.