Geodesic

Sommaire du Fascicule no. 1

Extensions of Topological Spaces
p. 1-22
A Number Theory Problem Concerning Finite Groups and Rings
p. 23-34
On Subgraphs of the Complete Bipartite Graph
p. 35-39
A Note on Regular Measures
p. 41-44
On Almost Uniform Convergence of Families of Functions
p. 45-48
Remarks on a Paper by S. Trott
p. 49-51
On the Number of Triangles Contained in Certain Graphs
p. 53-56
On the Consistency of the Two-Sample Empty Cell Test
p. 57-63
A Distribution Function of Cantor-Vitali Type
p. 65-75
On the Principle of Superposition in Quantum Mechanics
p. 77-83
Some Properties of the Rank and Invariant Factors of Matrices*
p. 85-96
A New Proof of an Inequality of Heinz
p. 97-100
Remarks on Quasi-Hermite-Fejér Interpolation
p. 101-119
On Extremal Properties of the Derivatives of Polynomials and Rational Functions
p. 121-131
Computation of the Number of Score Sequences in Round-Robin Tournaments
p. 133-136
Local Rings, by Masayoshi Nagata. Interscience Tract Number 13, New York, 1962. xiii + 234 pages. $11.00.
p. 154-155
Mathematical Theory of Elastic Equilibrium (recent results), by Giuseppe Grioli. Ergebnisse derangewandten Mathematik No. 7. Academic Press Inc. New York and Springer-Verlag (Berlin-Gottingen- Heidelberg), 1962. viii + 168 pages. $7.25.
p. 158
Écrits et Mémoires Mathématiques d'Évariste Galois, Édition critique intégrale de ses manuscrits et publications par Robert Bourgne et J.-P. Azra. Préface de J. Dieudonné. Publié avec le concours du centre nationale de la recherche scientifique. Gauthier-Villars, Paris, 1962. xxii + 541 pp.
p. 160-161
Numerical Analysis, by N. Macon. John Wiley and Sons, Inc., New York, 1963. xiii +161 pages. $5. 50 U. S.
p. 149-150
Journal of Applied Probability
p. 171
Problems for Solution
p. 137-138
Stability of Motion, by N. N. Krasovskii. Translated from the (1959) Russian Ed. by J. L. Brenner. Stanford University Press, 1963. $6. U.S.
p. 151
Geometry of Complex Numbers, by Hans Schwerdtfeger. (Mathematical Expositions No. 13) University of Toronto Press, Toronto, 1961. xi + 186 pages. $4.95.
p. 155-156
Theory of Value, (Monograph 17, Cowles Foundation), by G. Debreu. John Wiley and Sons, New York, 1959. xii + 114 pages. $4.75.
p. 153
Correction to Book Reviews, Vol. 6, No. 3
p. 164
Solutions
p. 138-146
Operational Calculus in Two Variables and its Applications, by V. A. Ditkin and A. P. Prudnikov. Translated from the Russian by D. M. G. Wishart. Pergamon Press, New York, 1962. x + 167 pages. $8. 50.
p. 147
Cours d' analyse de l'École Polytechnique, par J. Favard. Cahiers Scientifiques, Fasc. 26. Gauthier-Villar s, Paris. Tome III, Fasc. I, 294 pages, 1962, 45 NF. Fasc. II, 542 pages, 1963, 100 NF.
p. 150-151
Management and the Computer of the Future, M. Greenberger (editor). M. I. T. Press and Wiley, Boston, 1962. xxvi + 340 pages. $6.00.
p. 148-149
The Calculus of Variations, by N. I. Akhiezer. Translated from the Russian by Aline H. Frink. Blaisdell Publishing Co. (A division of Random House, Inc.), New York - London, 1962. viii + 248 pages. $7.50.
p. 157
Stochastic Service Systems, by John Riordan. Wiley and Sons Inc., New York, 1962. x + 139 pages. $6. 75.
p. 148
Modern Operational Calculus with applications in technical mathematics, by N. W. McLachlan. Revised edition. Dover Publications Inc., New York, 1962. xiv + 218 pages. $1. 75. (Canadian markup is 15 per cent. )
p. 151
The Calculus, a genetic approach, by O. Toeplitz. University of Chicago Press, University of Toronto Press, 1963. xiv + 192 pages. $6.50.
p. 159-160
Anti-plane Elastic Systems, by L. M. Milne-Thomson. Academic Press, New York. Springer-Verlag, Berlin-Gottingen- Heidelberg, 1962. 265 pages.
p. 158-159
Abstracts of Theses
p. 172
An Introduction to Mathematical Machine Theory, by S. Ginsburg. Addison-Wesley, Reading, Mass., 1962. ix + 148 pages. $8.75.
p. 152-153
Sequential Decoding, by John M. Wozencraft and Barney Reiffen. The Technology Press of the Massachusetts Institute of Technology and John Wiley and Sons, Inc., New York, 1961. v + 74 pages. $3. 75.
p. 147
News From the Departments
p. 168-171
Bibliography of Nonparametric Statistics, compiled by I. R. Savage. Harvard University Press, 1962. 284 pages. $6. 50.
p. 152
Representation Theory of Finite Groups and Associative Algebras, by C. W. Curtis and Irving Reiner. Interscience, New York, 1962.
p. 161-164
Random Notes from the Secretariat
p. 165-167
Report on Mathematical Instruction in Canadian Universities
p. 173-176

Sommaire du Fascicule no. 2

On a Combinatorial Problem of Erdös and Hajnal
p. 177-181
An Informal Arithmetical Approach to Computability andComputation, II
p. 183-200
Some Remarks on the Mathieu Groups
p. 201-212
Generating Reflections For U(2, p2n). II, p =2
p. 213-217
Partitions of the Natural Numbers
p. 219-236
A Module is Flat if and Only if its Character Module isInjective
p. 237-243
The Categories of Boolean Lattices, Boolean Rings and BooleanSpaces
p. 245-252
Permanents of (0, 1)-Circulants
p. 253-263
Monotony of the Osculating Circles of Arcs of Cyclic OrderThree
p. 265-271
A Generalization of Cauchy' s Double Alternant
p. 273-278
The Solutions of Some Functional Equations
p. 279-282
Finite Reciprocities
p. 283-290
A Remark on the Theorems of Lusin and Egoroff
p. 291-295
Some Useful Matrix Lemmas in Statistical Estimation Theory*
p. 297-300
On Abel's Binomial Identity
p. 301-303
Décomposition des lois de Probabilités, par Y.V. Linnik. Gauthier Villars,Paris 1962. vi + 294 pages. 55 F.
p. 325-326
Ordinary Differential Equations, by Garrett Birkhoff and Gian-Carlo Roba. Ginn and Co.,Boston, 1962. viii +318 pages. $8. 50. -Differential Equations, by H. S. Bear. Addison-Wesley, Reading, Mass.,1962. viii + 207 pages. $7.50.
p. 314-315
News from the Departments
p. 339-342
Statistical and Inductive Probabilities, by Hugues Leblanc. Prentice-Hall, Inc.,1962. xii + 148 pages.
p. 331-332
Abstracts of Theses
p. 343-344
Mathematics for the Physical Sciences, by H. S. Wilf. John Wiley and Sons, Inc.,New York, 1962. xii +284 pages.
p. 324-325
Introduction to Nonlinear Differential and Integral Equations, by Harold T.Davis. Dover Publications,New York, 1962. ix +566 pages. Paperbound $2.00.
p. 316-318
Ordinary Differential Equations, by L. S. Pontryagin. Translated from the Russian by Leonas Kacinskas and Walter B. Counts. Addison-Wesley, 1962.
p. 315-316
Russian-English Mathematical Dictionary. Words and Phrases in Pure and Applied Mathematics with Roots and Accents, Arranged for Easy Reference, by L. M. Milne-Thomson. The University of WisconsinPress, Madison,1962. xiv + 191 pages. $6. 00.
p. 319
Solutions
p. 307-312
Lectures on Modern Mathematics, Volume 1, edited by T. L. Saaty. John Wiley and Sons, Inc. New York 1963. ix+ 175 pages. $5.75.
p. 330
Estimation from Grouped and Partially Grouped Samples, byGunnar Kulldorf. John Wiley, NewYork; and Almqvist and Wiksell, Stockholm, 1961. 144 pages. $5.00.
p. 318
Proceedings of the fifth Canadian Mathematical Congress,Université de Montréal, 1961. Edited by E. M. Rosenthall. University of Toronto Press, Toronto,1963. x + 220 pages. $6.00.
p. 325
Optimization Techniques with Applications to Aerospace Systems, edited by George Leitmann. (Volume 5 of the series: Mathematics in Science and Engineering)Academic Press, New York andLondon, 1962. xiii + 453 pages. $16.00.
p. 326-327
Group Theory, The Application to Quantum Mechanics, by Paul M. E. Meyer and Edmond Bauer. North-Holland Publ. Co. Amsterdam. Interscience, New York,1962. 288 pages. $9.75.
p. 318-319
Logic and Boolean Algebra, by B. H. Arnold. Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962. vi + 144 pages. $9. 00.
p. 323
A First Course in Analysis, by J. C. Burkill. Cambridge University Press,1962. 186 pages. $3. 85 (U. S. ).
p. 322
Vector Analysis Including the Dynamics of a Rigid Body, byG. D. Smith. Oxford Mathematical Handbooks, Oxford UniversityPress, London,1962. 192 pages. $4.50.
p. 319-320
Elementary Real Analysis, by H. G. Eggleston. Cambridge University Press,Cambridge, 1962. viii +282 pages.
p. 320-322
Sammlung Goschen Kinematik 584/584a, by Hans R. Muller. Walter de Gruyter,Berlin, 1963. 171 pages. DM 5.80.
p. 328
Tomorrow's Math, Unsolved Problems for the Amateur, by C. Stanley Ogilvy. Oxford University Press,New York, Toronto, 1962.182 pages. $5.50.
p. 329
Introduction to the Theory of Stationary Random Functions, byA.M. Yaglom. Translated from the Russian by R. A. Silverman. Prentice-Hall, Inc.,New Jersey, 1962. xiii +235 pages. $10.60.
p. 327-328
Games, Gods and Gambling, by F.N. David. Griffin, London; Hafner, New York,1962. 275 pages. $6.50.
p. 330-331
A Programming Language, by Kenneth E. Iverson. John Wiley and Sons, Inc.,1962.
p. 313-314
Journal of Applied Probability
p. 338
Monographie des treillis et algèbre de Boole, by Michel Carvello. Collection de mathématiques économiques.Gauthier-Villars,Paris, 1962. xii +127 pages. 28 NF.
p. 323
Theory and Application of Liapunov's Direct Method, by W. Hahn. Translated from German into English by H. H. Hosenthien and S. H. Lehnigk. Englewood Cliffs: Prentice-Hall,1963. x+ 182 pages.
p. 329
Problems for Solution
p. 305-307
A rejoinder to the Problem Editor's comment on the solution toProblem 63 by W.A. O' N. Waugh.
p. 304
Machine-Independent Computer Programming, by Maurice H. Halstead. Spartan Books, Washington, D. C.,1962. xiii + 269 pages. $6.50.
p. 328
Random Notes from the Secretariat
p. 333-337
Statistics, An Intermediate Text-book, Vol. 1, by N. L. Johnson and H. Tetley. MacMillan Co. of Canada, 1962.304 pages. $3.85.
p. 332
Abstract Sets and Finite Ordinals, by G. B. Keene. International Series of Monographs in Pure and Applied Mathematics, Vol. 23. Pergamon Press, 1961.x + 106 pages. $3,50.
p. 323

Sommaire du Fascicule no. 3

Explicit Expressions for a Class of Permutation Problems
p. 345-350
A Problem on Tournaments
p. 351-356
A Machine Program for Coset Enumeration
p. 357-368
On Equi-Cardinal, Restrictions of a Graph
p. 369-375
A Room Design of Order 10
p. 377-378
A Decomposition of Orthogonal Transformations
p. 379-383
On the Projection of the Regular Polytope {5, 3, 3} into a Regular Triacontagon
p. 385-398
A Quartic with 28 Real Bitangents
p. 399-404
On Ring Properties of Injective Hulls1)
p. 405-413
On Injective Sheaves
p. 415-423
Notes on Numerical Analysis IV. On Accelerating Iteration Procedures With Superlinear Convergence
p. 425-430
New Proofs for two Theorems of Capelli
p. 431-433
On Rellich's Theorem Concerning Infinitely Narrow Tubes
p. 435-440
A Socratic Dialogue on Mathematics
p. 441-462
University Training in Applied Mathematics
p. 463-466
A Generalization of Jacobi's Theorem to Hyperadjugates
p. 467-469
On Lattice Paths with Diagonal Steps
p. 470-472
Calculus of Variations, by I. M. Gelfand and S. V. Fomin. Revised English edition, translated and edited by R. I. Silverman. Prentice-Hall, Inc., Englewood Cliffs, N.J., 1963. 232 + vii pages. $7.95.
p. 494-495
Ordinary Differential Equations, by Morris Tenenbaum and Harry Pollard. Harper and Row, 1963. ii + 808 pages. $10.75.
p. 481-482
Problems for Solution
p. 473-478
Random Notes from the Secretariat
p. 501-502
College Algebra, by A. Adrian Albert. The University of Chicago Press, Chicago, 1963. 278 pages. $1.95 (Paperback).
p. 482
Algebraic Theory of Measure and Integration, by C. Carathéodory. Chelsea Publishing Company, New York, N. Y., 1963. 378 pages.
p. 485-486
Interpolation and Approximation, by Philip J. Davis. Biaisdeli Publishing Company, New York-Toronto-London, 1963. xiv + 393 pages. $12.50.
p. 496-497
The application of continued fractions and their generalizations to problems in approximation theory, by Alexey Nikolaevitch Khovanskii. Translated by Peter Wynn. P. Noordhoff N. V. , Groningen, 1963. xii + 212 pages. Dfl. 28.
p. 493-494
Principles of Abstract Algebra, by Richard W. Ball. Holt, Rinehart and. Winston Publishers, 1963. ix + 290 pages. $6.00.
p. 484
News From the Departments
p. 503-506
The Essence of Biometry, by J. Stanley. McGill University Press, Montreal, 1963. xiii + 147 pages. $5.00.
p. 498-499
Openings in Mathematics
p. 511-512
Curvature and Homology, de Samuel I. Goldberg. Academic Press Inc., New York, 1962. xvii + 315 pages. $8. 50.
p. 488-489
Diophantine Approximations, by Ivan Niven. Interscience Tracts in Pure and Applied Mathematics, No. 14. Wiley, New York - London, 1963. viii + 68 pages. $5.00.
p. 487
Modern Multidimensional Calculus, by M. E. Munroe. Addison-Wesley Publishing Co. Inc., 1963. viii + 392 pages.
p. 482
Geschichte der Mathematik. Teil I:Von den Anfängen bis zurn Auftreten von Fermat und Descartes. By Joseph E. Hofmann. (Sammlung Góschen Band 226/226a)2., verbesserte und vermehrte Auflage. Walter de Gruyter and Co., Berlin, 1963. 251 pages. 5. 80 DM.
p. 496
An Introduction to Probability and Mathematical Statistics, by Howard G. Tucker. Academic Press, New York, 1962. 228 pages. $5.75.
p. 497-498
Abstracts of Theses
p. 507-510
Combinatorial Mathematics, by H. J. Ryser. John Wiley and Sons, Inc., New York, 1963. ix + 141 pages. $4.00.
p. 489-491
Applied Dynamic Programming, by Richard E. Bellman and Stuart E. Dreyfus. Princeton University Press, Princeton, New Jersey, 4962. xxii + 363 pages.
p. 499
Algorithmes et Machines à Calculer, by B.A. Trahtenbrot. Translated from the second Russian edition (1960) by A. Chauvin. Dunod, Paris, 1963. xii + 149 pages.
p. 486-487
Algèbre noethérienne non commutative, by L. Lesieur et R. Croisot. [Mém. Sci. Math. 154] Gauthier-Villars, Paris 1963. 117 pages.
p. 483-484
Ensembles Parfaits et Séries Trigonométriques, by J. -P. Kahane and R. Salem. Hermann, Paris, 1963. Paperback, 188 pages. 27 F.
p. 492-493
Sets, Sequences and Mappings - The Basic Concepts of Analysis, by Kenneth W. Anderson and Dick Wick Hall. John Wiley and Sons, New York, 1963. x+ 191 pages. $5.00.
p. 480
Variationsrechnung, by L. Koschmieder. Sammiung Goschen, Band 1075. Walter de Gruyter and Co., Berlin, 1962.
p. 495
The Mathematical Theory of Optimal Processes, by L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko. Authorized Translation from the Russian. Translator: K. N. Trirogoff, Editor: L.. W. Neustadt. Interscience Publishers (division of John Wiley and Sons, Inc. , New York) 1962. viii + 360 pages.
p. 500
Mathematiques: Tome I - Éléments de calcul différentiel et intégral, by A. Hocquenghem and P. Jafford. Masson et Cie, 1962. x + 515 pages. 36 NF.
p. 479
Geometric Transformations, by I. M. Yaglom. Translation by Allen Shields. Random House, 1962. 133 pages. $1.95.
p. 479-480

Sommaire du Fascicule no. 4

On Some Divisibility Properties of (2n n)
p. 513-518
On Edge-Disjoint Cycles in a Graph
p. 519-523
On the Number of Positive Entries in the Powers of a Non-Negative Matrix
p. 525-537
Block Intersections in Balanced Incomplete Block Designs
p. 539-548
Finite Projective Planes with Affine Subplanes
p. 549-559
On a Conjecture of Melzak
p. 561-563
Some Lower Bounds for Density of Multiple Packing
p. 565-572
Some Inequalities for Polynomials and Related Entire Functions II
p. 573-595
Goursat's Theorem and Homological Algebra
p. 597-608
Axiomatic Proof of J. Lambek's Homological Theorem
p. 609-613
Addendum to some useful Matrix Lemmas in Statistical Estimation Theory
p. 615-616
On the Exactness of the Homotopy Sequence
p. 617-618
Some Remarks on Ramsay's Theorem
p. 619-622