Geodesic

Sommaire du Fascicule no. 1

A Note on the Borsuk Conjecture
p. 1-3
Categorical Fibrations
p. 5-17
A Type of Quasi-Frobenius Ring
p. 19-27
On the Residues of a Cubic Polynomial (Mod p )
p. 29-38
Some Characterizations of co and l1
p. 39-52
On the Location of Zeros of Polynomials
p. 53-63
Identities for Multiplicative Functions
p. 65-73
On Periodic Solutions of x′′′ + ax′′ + b′ + g(x) = 0
p. 75-77
On the Summability of a Class of Derived Fourier Series
p. 79-84
An Integral for Cesàro Summable Series
p. 85-97
On Uniform Approximations of Abstract Functions
p. 99-108
Note on Pointwise Convergence on the Choquet Boundary
p. 109-113
A Discrete Analogue of Opial's Inequality
p. 115-118
On Finite Plane Sets Containing for Every Pair of Points an Equidistant Point
p. 119-120
A Vector Space Approach to Geometry, by Melvin Hausner. Prentice - Hall Inc., Englewood Cliffs, N. J., 1965. x + 397 pages. $12.00.
p. 145
Studies in Real and Complex Analysis, by 1.1. Hirschnian, Jr., ed. Buffalo, The Mathematical Association of America, 1965. 213 pages. $4.00.
p. 148-149
Elements of Abstract Algebra, by Richard A. Dean. Wiley and Sons, New York, N.Y., 1966. xiv + 324 pages. $7.95.
p. 141-142
Number-systems, A Modern Introduction, by Mervin L. Keedy. Addison-Wesley, 1965. ix + 226 pages. $6.50.
p. 154
Contributions to Differential Equations, J. P. LaSalle and J. B. Diaz (managing editors), vol. I. Interscience Publishers, New York, 1963. v + 519 pages. $16.50.
p. 150
Problems For Solution
p. 121-122
Addendum
p. 125-126
Mathematische Statistik (Die Grundlehren der mathematischen Wissenschaften, Bd 87), by B. L. van der Waerden. Springer-Verlag, Berlin, Heidelberg, New York, 1965. xii + 360 pages. Price:DM49, 60.
p. 139
Ontario Mathematical Meetings
p. 127-130
Solutions
p. 122-124
Principes et applications de l'analyse Booléenne, by M. Carvallo. Collection de Math, économiques, fasc. II. Gauthier Villars, Paris, 1965, xiii + 131 pages. Price: 30 F .
p. 145
The Theory of Sets and Transfinite Arithmetic, by Alexander Abian. W.B. Saunders Company, Philadelphia and London, 1965. ix+406 pages. $10.80.
p. 139-141
Openings in Mathematics
p. 171-172
Theory of Retracts, by Sze-Tsen Hu. Wayne State University Press, Detroit, 1965. 234 pages. $13.50.
p. 145-146
Mathematical Discovery, vol. II, by George Polya. Wiley, New York, 1965. xxii + 191 pages. $5.50.
p. 153
The Elements of Computational Mathematics, edited by S.B. Norkin. Pergamon Press, New York, 1965. xiii + 192 pages. $6.00.
p. 137-138
University Mathematics, I, by J. R. Britton, R.B. Kreigh and L. W. Rutland. Freeman and Co., San Francisco, 1965. xiii + 662 pages. $9.50.
p. 153-154
Introductory Research Seminar on Computer Science
p. 168
Geometric Invariant Theory, by D. Mumford. Ergebnisse der Math. N.S. Vol. 34. Springer-Verlag, Berlin, 1965. 146 pages.
p. 146-147
Instructional Conference on Differential Equations
p. 169
A First Course in Partial Differential Equations, by H. F. Weinberger. Blaisdell Publishing Co., New York (Division of Ginn and Co.), 1965. ix +446 pages.
p. 149-150
Introduction to Numerical Analysis, by C. -E. Fröberg. Addison-Wesley Publishing Co., Inc., Reading, Mass., 1965, x + 340 pages, $8.95.
p. 137
Invitation to Canadians who are Studying Mathematics Outside Canada
p. 170
Mrs. Maud Catherine Baker
p. 155-156
Some Recollection of the International Congress Of Mathematicians
p. 157-162
Kushyar ign Labban: Principles of Hindu Reckoning. A translation with introduction and notes by Martin Levey and Marvin Petruck. The University of Wisconsin Press : Madison and Milwaukee, 1965. xiii + 114 pages. $6.00.
p. 150-151
Science Extends its Horizons: Mathematics is on the March
p. 163-166
Ontario Mathematical Meetings
p. 131-136
Hel Braun und Max Koecher, Jordan-Algebren. (Grundlehren der Math. Wissenschaften 128). Springer-Verlag, Berlin, 1966. xiv + 357 pages. Price DM.48.
p. 142-144
Modern College Algebra, by Daniel E. Dupree and Frank L. Harmon. Prentice Hall, Eng le wood Cliffs, N.J., 1965. ix + 250 pages. $5.95.
p. 147
University Mathematics, II, by J. R. Britton, R.B. Kreigh and L. W. Rutland. Freeman and Co., San Francisco, 1965. xii +650 pages. $9.50.
p. 154
Probability, by Grace E. Bates. (A-W Series in Introductory Mathematics). Addison-Wesley Publishing Company, Inc., 1965. v + 58 pages. $1.00.
p. 138-139
News From the Departments
p. 167
Introduction to Field Theory, by Iain T. Adams on, Oliver and Boyd, Edinburgh, and J.Wiley and Sons Publ., New York, 1965. viii+ 180 pages. $2.75.
p. 141
Evolution of Mathematical Thought, by H. Meschkowski. (Translated by Jane H. Gayl), Holden-Day, 1965. Original German edition, 1956. 147 pages.
p. 151-152
Complex Variable Methods in Science and Technology, by John Cunningham, Van Nostrand Co. Ltd., London, Toronto, New York, Princeton, 1965, viii +178 pages.
p. 149

Sommaire du Fascicule no. 2

An Extremal Problem in Number Theory
p. 173-177
Polynomials with some Prescribed Zeros
p. 179-189
Integrals of the Differential Equations ẍ + f ( s ) x = 0
p. 191-196
On Some New Generalizations of the Functional Equation of Cauchy
p. 197-205
On Measures Determined by Functions with Finite Right and Left Limits Everywhere
p. 207-225
On Characterizing Classes of Functions in Terms of Associated Sets
p. 227-231
Some Remarks on a Paper of D. W. Kahn
p. 233-237
On the Structural Properties of the Conditional Distributions
p. 239-245
A Correspondence Principle for Momentum Operators
p. 247-250
On Complex Homogeneous Manifolds
p. 251-256
Some Relationships between Filters*
p. 257-260
The Injective Envelope of S-Sets
p. 261-273
A Non-Trivial Ring with Non-Rational Injective Hull
p. 275-282
Cycles of Each Length in Regular Tournaments
p. 283-286
A Packing Problem
p. 287-297
Abstracts of Theses
p. 329-330
The open mapping and closed graph theorems in topological vector spaces, by T. Husain. (Oxford math, monographs).
p. 311-312
Handbook of Laplace transformation, by Floyd E. Nixon. Prentice-Hall, Applied Mathematics series. Englewood Cliffs, N. J., 1965. xii + 260 pages, second edition.
p. 317
An Introduction to Abstract Mathematical Systems, by David M. Burton. Addison Wesley, Publisher, Reading, Mass. 1965. vii + 120 pages. $3.95.
p. 307
Multidimensional Gaussian Distributions, by K. S. Miller. John Wiley and Sons, 1965. vii + 129 pages. $9.50.
p. 323
An Introduction to Complex Analysis in Several Variables, by L. Hormander. Van Nostrand, University series in higher Mathematics, 1966. 208 pages. $8.20.
p. 313-315
Numerical solution of partial differential equations, by G.D. Smith. Oxford, London, 1965. viii + 179 pages. $3.50.
p. 319-320
Statistics and Experimental Design, by Norman L. Johnson and Fred C. Leone. John Wiley and Sons, Inc., New York, 1964. Vol. I, xiii + 523 pages, $10.95; Vol. II, ix + 399 pages, $11.50.
p. 325
Hill's Equation, by W. Magnus and S. Winkler. Interscience, New York, 1966. viii + 127 pages. $8. 50.
p. 316-317
Introduction to Topological Groups, by Taqdir Husain. W.B. Saunders Co., Philadelphia and London, 1966. xi + 218 pages. $8.10.
p. 310
Introduction to Basic FORTRAN Programming and Numerical Methods, by W. Prager. Blaisdell Publishing Company, New York, 1965. 203 pages.
p. 321-322
Mathematical Foundations of the Calculus of Probability, by J. Neveu. Translated by Amiel Feinstein, foreword by R. Fortet. Holden-Day, Inc., San Francisco, 1965. xiii + 223 pages. $10.45.
p. 308
Disquisitiones Arithmeticae, by Carl Friedrich Gauss, 1801; English translation, by Arthur A. Clarke, S.J. Yale University Press, New Haven and London, 1966. xx + 472 pages. Ç12. 50.
p. 326-328
Geschichte und Théorie der Kegelschnitte und der Flächen zweiten Grades, by Kuno Fladt. Ernst Klett Verlag: Stuttgart, 1965. x + 374 pages. 185 figs. DM48.
p. 312
Elements of the Theory of Probability, by Emile Borel. Translated by John E. Freund. Prentice-Hall, Inc., Englewood Cliffs, N. J. 1965. xiv + 178 pages.
p. 323-324
Iterative methods for the solution of equations, by J. F. Traub. Prentice Hall, Inc. Publishers, Englewood Cliffs, N. J., 1964. xviii + 310 pages.
p. 318-319
The Basic Laws of Arithmetic, by Gottlob Frege (Translated, edited, and introduced by Montgomery Furth). University of California Press, Berkeley, 1965. lxiii + 144 pages. $5.00.
p. 309
Discrete Dynamic Programming, by R. Aris. Blaisdell Publ. Co., New York (Division of Ginn and Co.), 1964. x + 148 pages.
p. 320
Elements of Finite Probability, by J. L. Hodges, Jr. and E. L. Lehmann. Holden-Day, Inc., San Francisco, London, Amsterdam, 1965. vi + 227 pages.
p. 322-323
Théorie des Probabilities et Quelques Applications, by P.L. Hennequin and A. Tortrat. Masson et Cie., Paris, 1965. 458 pages. Price: 88 F .
p. 322
Ontario Mathematical Meetings
p. 298-306
Numbers and Ideals, by Abraham Robinson. Hold en-Day, San Francisco, 1965. ix + 106 pages. $5.95.
p. 307
Linear Sequential Switching Circuits, edited by W.H. Kautz. Holden-Day, Inc., San Francisco, 1965. v +234 pages. $6.75.
p. 324
Introduction to Linear Algebra, by Frank M. Stewart. D. van Nostrand Co., Inc., Princeton, 1963. xv + 281 pages.
p. 310
Computer Software. Programming Systems for Digital Computers, by Ivan Flores, x + 493 pages. Prentice Hall, Englewood Cliffs, N. J., 1965. $12.00.
p. 320-321
Topological Structures, by W.J. Thron. Holt, Rinehart and Winston, Inc., New York, 1966. x + 240 pages. $9.00.
p. 325-326
Étude du Schéma Fluide Parfait et des Équations de Mouvement dans les Théories Pentadimensionelles de Jordan-Thiry et de Kaluza-Klein, by Aline Surin. Gauthier-Villars, Paris, 1965. 137 pages.
p. 308-309
Symposium in Analysis - June 16-17, 1967
p. 331-332
Problème moderne de theoria functiilor (Modern problems of the theory of functions), by C.A. Cazacu, C. Constantinescu, and M. Jurchescu. Editura Academiei Republicii Populare Romane, Bucharest, 1965. 309 pages.
p. 315
Elementary Inequalities, by D.S. Mitrinovic. Noordhoff, Ltd. Groningen (Holland), 1964. 159 pages. $5.75.
p. 307
First Concepts of Topology. The Geometry of Mappings of Segments, Curves, Circles, and Disks, by W. G. Chinn and N. E. Steenrod. Random House, New Mathematical Library, Vol.18, 1966. viii + 160 pages. Paperback $1.95.
p. 313

Sommaire du Fascicule no. 3

Representation Theories for the Laplace Transform
p. 333-345
The Hausdorff Means for Double Sequences
p. 347-352
On a Theorem of Privaloff
p. 353-359
A Characterization of Real almost Continuous Functions
p. 361-364
Ring Theoretic Properties of Matrix Rings
p. 365-374
Maximal Subgroups of Infinite Symmetric Groups
p. 375-381
An Extension of Fermat's Theorem
p. 383-386
Five Dimensional Non-Lattice Sphere Packings
p. 387-393
Open Disk Packings of a Disk
p. 395-415
Coincidence Producing Maps Onto Trees
p. 417-423
Which Graphs have only Self-Converse Orientations?
p. 425-429
On the Steiner Problem
p. 431-450
A Remark on R1 Spaces
p. 451-452
A Note on Affine Pappus Conditions
p. 453-457
An Estimate for the order of Rational Matrices
p. 459-461
Exact Distribution of the Quotient of Independent Generalized Gamma Variables
p. 463-465
Report on Injective Modules, by Tsai Chi - Te. Queen's papers in pure and applied mathematics, No. 6, Kingston, 1966. 243 pages. $3.00.
p. 489
Cours de mathématiques supérieures, Tome I, Algèbre et géométrie, par A. Doneddu. Dunod, Paris, 1965, xv + 583 pages.
p. 472-473
Introduction to Algebra, by Sam Perlis. Blaisdell Publishing Co., Waltham, Mass., Toronto, London, 1966. xx + 440 pages. $9.50.
p. 485
Scales and Weights, by Bruno Kisch. McGill University Press, 295 pages + 98 plates. $15.00.
p. 484-485
Problems for Solution
p. 466-467
Abstract Theory of Groups, by O.U. Schmidt. Translated from the Russian by F. Holling and J.B. Roberts; edited by J.B. Roberts. W.H. Freeman and Co., San Francisco, 1966. vii + 174 pages. $5.00.
p. 489-490
Number Theory, by Z. I. Borevich and I.R. Shafarevich. Academic Press, New York, 1966. x + 435 pages. $12.95. - Théorie des nombres, par Z. I. Borevitch et I. R. Chafarevitch. Traduit par M. et J.- L. Verley; Monographies internationales de mathématiques modernes, sous la direction de S. Mandelbrojt. Gauthier-Villars, Paris, 1967. vi + 489 pages. Price : 78 F.
p. 478-484
Notes on Logic, by Roger C. Lyndon. Van Nostrand Mathematical Studies No. 6. vi + 97 pages. New York, 1966. $2.50.
p. 487-489
Challenging Mathematical Problems with Elementary Solutions, by A.M. Yaglom and I.M. Yaglom. Holden-Day Inc., 1964. viii + 231 pages.
p. 471
Linear Transformations and Matrices, by F. A. Ficken. Prentice Hall, Inc., 1967. xiii + 398 pages. $10.50.
p. 486-487
Abstracts of Theses
p. 491-492
Proceedings of the Conference on Complex Analysis, Minneapolis, 1964. Edited by A. Aeppli, E. Calabi and H. Rohrl. Springer-Verlag, Berlin, Heidelberg, New York, 1965. Price DM. 38.
p. 477-478
Functional Analysis; Theory and Applications, by R. E. Edwards. Holt, Rinehart and Winston, 1965. xiii + 781 pages. $25.00.
p. 475
Matrices and Transformations, by Anthony J. Pettofrezzo. Prentice Hall, 1966. x + 133 pages. $3.95.
p. 486
La Transformation de Convolution, par I.I. Hirschman et D.V. Widder, traduit de l'Anglais par B. Pénicaut. Paris, Gauthier-Villars and Cie, 1965. xi +294 pages. $18.00.
p. 473-474
Solutions
p. 467-470
An Introduction to Matrices, Sets and Groups, by Stephenson G.. Longmans, London, 1965. xi + 164 pages. $54.80.
p. 476-477

Sommaire du Fascicule no. 4

On the Möbius Ladders
p. 493-496
A Note on p-Cyclic Matrices and Digraphs
p. 497-501
The Maximum Order of the Group of a Tournament
p. 503-505
On Irregular Fixed Points
p. 507-512
On the Convergence of Product Moments
p. 513-518
Measurable Cover Functions
p. 519-523
Extension of a Bounded Vector Measure with Values in a ReflexiveBanach Space
p. 525-529
On A Problem of P. Turán on Lacunary Interpolation*
p. 531-557
Some Interpolators Properties of Laguerre Polynomials*
p. 559-571
On A Theorem of Niven
p. 573-578
On General Polynomials
p. 579-583
On Extremal Polynomials
p. 585-594
On the Set of Zero Divisors of a TopologicalRing
p. 595-596
A Note On Arc-Preserving Functions For Manifolds1
p. 597-598
On Dependence in Matroids
p. 599-603
Problems for Solution
p. 604-605
Matrix Algebra for the Biological Sciences. (Including Applications in Statistics.) John Wiley and Sons,Inc., New York, London, Sydney, 1966. 296 pages. $9.95.
p. 611-612
Abstracts of Theses
p. 631-634
A Course in Algol Programming, by G. F. Schaefler. MacMillan,Toronto, 1966. ix +201 pages.
p. 629-630
Stability of Motion, by A.M. Liapunov. Translated by F. Abramovici and M. Shimshoni. New York, AcademicPress, 1966. xi + 203 pages.
p. 620
Nonlocal Problems of the Theory of Oscillations, by V. A. Pliss. Academic Press, NewYork, 1966. Translation edited by H.Herman.xii + 306 pages. $13.50.
p. 625
Method of Moments in Applied Mathematics, by Yu. V. Vorobyev. Translated from the Russian by Bernard Seckler. Gordon and Breach, NewYork, 1965. 168 pages.
p. 615-616
The Algebra of Abu Kamil (Kitab fi al-jàbr wa'l-muqabala) in aCommentary by Mordecai Finzi. Hebrew text, translation, and commentary with special reference to the Arabic text, by Martin Levey.The University of Wisconsin Press:Madison, Milwaukee, and London,1966,. xiii + 226 pages. $10.00.
p. 614
A First Course in Integration, by Edgar Asplund and Lutz Bungart. Holt, Rinehart and Winston,New York, xiii + 489 pages.1966, $11.55.
p. 617
Algèbres Non Associatives et Algèbres Génétiques, by Mme.Monique Bertrand. Gauthier-Villars,Paris, 1966. 103 pages. F. 20.
p. 612
Elementary Vector Algebra, by A.M. MacBeath. Oxford University Press,Toronto, 1966.136 pages. $2.10. (Canadian).
p. 613-614
Ordinary Differential and Difference Equations: Theory andApplications, by F. Chorlton. Van Nostrand, Toronto,Princeton, 1965. xii +284 pages.
p. 619
Gaussian Quadrature Formulas, by A. H Stroud and D. Secrest. Prentice-Hall, Inc., Englewood Cliffs, N. J., 1966. 374 pages.
p. 616
Introduction to Ordinary Differential Equations, by Albert L. Rabenstein. Academic Press, NewYork, London, 1966. xii + 431 pages. $9.95 (hard bound in gray buckram).
p. 620-621
Mathematical Methods in Physics, by J. S. R. Chisholm and Rosa M. Morris. McAinsh Co., Ltd.,Toronto, 1966. xviii +719 pages. $10.80.
p. 626-627
Solutions
p. 606-610
Variational Principles, by B. L. Moiseiwitsch. Interscience Monographs, Vol. XX. Wiley, NewYork, 1966. x + 310 pages. $14.00.
p. 623-624
Calculus of Residues, by D.S. Mitrinovic (Tutorial Text No.4) in cooperation with J. H. Michael. Noordhoff, Groningen, 1966. 87 pages. $1.90. (Cloth-bound $3.90).
p. 617
An Introduction to Computer Programming, by Henry Mullish. Gordon and Breach, NewYork, 1966. x + 244 pages.
p. 628
Principles of Astrometry (With Special Emphasis on Long-Focus Photographic Astrometry), by Peter van de Kamp. W.H. Freemanand Company, 1967. $6.50.
p. 630
Mathematical Methods for Physicists, by Arfken G.. Academic Press, NewYork, 1966. xvi + 654 pages. $12.75.
p. 624-625
Matrix Mechanics, by H. S. Green. (P. Noordhoff Ltd., Gronigan, 1965, The Netherlands).118 pages. $5.50.
p. 627
Lectures on real and complex vector spaces, by F. S. Cater. McAinsh, Ltd.Toronto, 1966. x +167 pages. $5.40.
p. 611
Differential Equations of Applied Mathematics, by G. F. D. Duff and D. Naylor. J. Wiley, NewYork, 1966. xi+423 pages. $11.65.
p. 621-622
Probability Theory, by Klaus Krickeberg. Addison-Wesley Publishing Co., Reading, Mass., 1965. x + 230 pages. $8.95.
p. 622
Thermal Stresses in a Composite Cylinder with an Arbitrary TemperatureDistribution along its Length, by V.S. Nikishin. NewYork, Plenum PressData Division, 1966. 119 pages. $22.50.
p. 627-628
Algebră Superioară (Higher Algebra), by Gh. pic. Editura Didactică si Pedagogică, Bucarest,1966.
p. 613
Contributions to Functional Analysis, dedicated to G. Köthe. Springer Verlag,Berlin, Heidelberg and New York,1966. viii + 532 pages. Price DM 35.
p. 616
The Classical Moment Problem, by N. I. Akhiezer. Translated from the 1961 Russian edition by N. Kemmer. Hafner Publishing Company,New York, 1965.253 pages. $10.00 (U.S.)
p. 615
Prelude to Analysis, by Paul C. Rosenbloom and Seymour Schuster. Prentice Hall, Inc. Publ.,1966. xix + 473 pages. $8.25.
p. 623
Vibrations Non Linéaires et Théorie de la Stabilité, by M. Roseau. Springer-Verlag,Berlin, 6 Heidelberg, 1966.xi + 254 pages.
p. 626
1965 Brandeis University Summer Institute in TheoreticalPhysics. M. Chretian, S. Deser, Editors. - Vol. I: Axiomatic Field Theory, xi + 516 pages, $32.50. Vol. II: Particle Symmetries, xii + 691 pages, $35.00.Gordon and Breach, Publ.,New York, 1966.
p. 628-629
The Elements of Integration, by Robert G. Bartle. John Wiley and Sons,New York, 1966. vii +129 pages. $6.95.
p. 618-619
Introduction to Ordinary Differential Equations, by Shepley L. Ross. Blaisdell Publishing Co.,1966. viii + 337 pages. $7.50.
p. 619-620

Sommaire du Fascicule no. 5

Integral Group Rings of Finite Groups
p. 635-642
Quelques Caractérisations Du Radical D′un Anneau
p. 643-647
Structure Theorems of a Module Over a Ring with a Bilinear Mapping
p. 649-652
Lattice Paths in E3 With Diagonal Steps
p. 653-658
Formal Contraction of the N-Simplex
p. 659-664
A Note on the Homotopy-Commutativity of Suspensions
p. 665-668
A Note on Coverings of En by Convex Sets
p. 669-673
On the Relation Between Boundedness and Oscillation of Differential Equations of Second Order
p. 675-679
On Stability of Solutions of Certain Differential Equations of the Third Order
p. 681-688
Applying the Cauchy Integral
p. 689-693
A Note on Fourier Transforms and Imbedding Theorems
p. 695-698
On a Theorem in the Generalised Fourier Transform
p. 699-709
Representation of Functions as Weierstrass- Transforms
p. 711-722
On the Monotonicity of Certain Functionals in the Theory of Analytic Functions
p. 723-729
Rellich′s Embedding Theorem for a “Spiny Urchin”
p. 731-734
Note on an Application of the δ-Function in the Representation of Solutions of Algebraic Equations
p. 735-738
On Some Limit Theorems Involving the Empirical Distribution Function
p. 739-741
Necessity of Alteration
p. 743-744
Concerning the Minimum Function of a Stochastic Matrix
p. 745-748
Footnote to a Formula of Gioia and Subbarao
p. 749-750
On Numbers Generated by es(ex-1)
p. 751-754
On the Distribution of Integer Solutions of f(x, y) = z2 for a Definite Binary Quadratic Form f
p. 755-756
A Note on a Fully Ordered Ring
p. 757-758