Geodesic

Sommaire du Fascicule no. 1

A Non-Hamiltonian Graph
p. 1-5
A Note on a Discriminant Inequality
p. 7-9
Sur la Structure d'Une Classe d'Anneaux
p. 11-16
Some Properties of Beatty Sequences II
p. 17-22
Notes on Number Theory II : On a theorem of van der Waerden
p. 23-25
A Note on Prime-Power Groups
p. 27-30
On Common Multiples of Transfinite Numbers
p. 31-33
On a Problem of L. Moser
p. 35-39
Interpolation and Curve Fitting by Sectionally Linear Functions
p. 41-57
Elementary Proofs of the Extremal Properties of the Eigenvalues of the Sturm-Liouville Equation
p. 59-77
Solutions
p. 79
Problems for Solution
p. 78
Sequence and Series Transformations
p. 80-83

Sommaire du Fascicule no. 2

Introduction to Logic and Sets, by Robert R. Christian. Preliminary edition, Ginn and Company, Boston 1958. 70 pages, 90 cents.
p. 88
An Introduction to Functional Analysis, by Angus E. Taylor. John Wiley and Sons, New York, 1958. 423 pages. $12.50.
p. 91-93
Théorie générale des jeux à n personnes, by C. Berge. Gauthier-Villars, Paris, 1957. 114 pages.
p. 89-90
Openings in Mathematics
p. 112
Abstracts of Theses: Resumes Des Theses
p. 108-111
Prize and Scholarship Programmes
p. 98-101
Numerical Analysis and Partial Differential Equations. 1. Contemporary State of Numerical Analysis by G. E. Forsythe. 2. Partial Differential Equations, by P. C. Rosenbloom. Surveys in Applied Mathematics V, John Wiley and Sons, New York, 1958. 204 pages. $7.50.
p. 96
The Structure of Arithmetic and Algebra, by May Hickey Maria. John Wiley and Sons, New York 1958, xiv + 294 pages, $5.90.
p. 90-91
Dynamics and Non-linear Mechanics, by E. Leimanis and N. Minorsky. Surveys in Applied Mathematics II. John Wiley and Sons, New York, 1958. 206 pages. $7.75.
p. 86-88
Reflections of a Mathematician, by L. J. Mordell. Canadian Mathematical Congress, 1959. vii + 50 pages, $1.00.
p. 84-86
A Colloquium on Graph Theory
p. 102-103
Elasticity and Plasticity, by J. N. Goodier and P. G. Hodge Jr . Surveys i n Applied Mathematics I. John Wiley and Sons, New York, 1958. 152 pages. $6.25.
p. 96
Integral Equations, by F. Smithies. Cambridge Tracts in Mathematics and Mathematical Physics, No.49, 1958. The Macmillan Company of Canada, Ltd. Canadian list price $4.70.
p. 88-89
Also Received
p. 97
Group Theory and its Application to the Quantum-Mechanics of Atomic Spectra, by Eugene P. Wigner, translated from the German by J. J. Griffin, Academic Press, New York and London, 1959. 372 pages. $8.80.
p. 95
News From the Departments
p. 104-107
Fallacies in Mathematics, by E.A. Maxwell, Cambridge University Press, Macmillan Company of Canada Ltd. $2.75.
p. 94
Some Aspects of Analysis and-Probability, by Irving Kaplansky, Marshall Hall Jr., Edwin Hewitt and Robert Fortet. Surveys in Applied Mathematics IV. John Wiley and Sons, New York, 1958, 243 pages. $9.00.
p. 94-95
Problems in Euclidean Space (Applications of Convexity), by H.G. Eggleston. Pergamon Press, New York, 1957. 165 pages. $6.50.
p. 93-94
Solutions of the Functional Equation (f(x))2 - f(x2) = h(x)
p. 113-120
A Finite Analogue of the Goldbach Problem
p. 121-126
Remarks and Corrections to my Paper
p. 127-129
Reflexive Homomorphic Relations
p. 131-132
A Geometric Model for the Generalized Symmetric Group
p. 133-142
A Note an a Group Defined by a Quadratic Form
p. 143-148
A Minimal Cubic Graph of Girth Seven
p. 149-152
A Note on Hilbert's Tenth Problem
p. 153-156
On an Inversion Operator for the Fourier Transformation
p. 157-165
On Duo Rings
p. 167-172
On Schauder Bases for Spaces of Continuous Functions1)
p. 173-184
Odd and Even Permutations
p. 185-186
A Lemma on Continuous Functions
p. 186-187
On an Extremal Problem in Fourier Series
p. 188

Sommaire du Fascicule no. 3

Corpuscules et Champs en Théorie Fonctionelle, by Jean-Louis Destouches. Gauthier-Villars, Paris, 1958. viii + 164 pages. U.S. $9.76.
p. 200-201
A Course in Mathematical Analysis, I Introduction to Analysis, by Norman B. Haaser, Joseph P. LaSalle and Joseph A. Sullivan. Ginn, Boston, 1959. xlv + 688 pages. $8.50.
p. 191-193
News From the Departments
p. 214-215
Studies in linear and non-linear programming, by K. J. Arrow, L. Hurwicz and H. Uzawa. Stanford University Press, 1958. 229 pages. $7.50.
p. 196-198
Applications of Tensor Analysis, by A. J. McConnell. Dover, New York, 1957. xii + 318 pages . $1.85.
p. 198
Reforming the High School Mathematics Curriculum
p. 203-213
Elementary Mathematical Programming, by Robert W. Metzger. Wiley, New York, 1958, 246 pages. $5.95.
p. 193
Elementary Statistical Methods, by W. A. Neiswanger, Macmillan, New York; Brett-Macmillan, Gait, Ont., revised edition, 1956. 749 pages. $7.25.
p. 198-199
String Figures and other monographs, Chelsea, New York, 1960. $3.95. - String Figures, by W.W.R. Ball. Third edition, 1920. 72 pages. - Methods and Theories for the Solution of Problems of Geometrical Construction, by J. Petersen (translated from the Danish). 1879. 102 pages. - The Elements of Non-Euclidean Plane Geometry and Trigonometry, by H. S. Carslaw. 1916, 179 pages. - History of the Logarithmic Slide Rule and Allied Instruments, by F. Cajori. 1909. 136 pages.
p. 199-200
Solutions
p. 189-190
Mathematical Programming and Electrical Networks , by Jack B. Dennis. Wiley, New York, 1959. 186 pages. $4.50.
p. 193-194
Problems for Solution
p. 189
Abstract of Thesis
p. 216
Applications of Finite Groups, by J. S. Lomont. Academic Press, New York and London. 346 pages. $11.
p. 194-196
Statistical Estimates and Transformed Beta-Variables, by Gunnar Blom. Wiley, New York, 1959, 176 pages. $5,00.
p. 201-202
A Short Course in Differential Equations, by Earl D. Rainville. Macmillan, New York; Brett-Macmillan, Gait, Ont., second edition, 1958. 255 pages. $4.50.
p. 194
On Birkhoff's Problem 73 For Monoids
p. 217-220
Hesse's Theorem for a Quadrilateral Whose Sides Touch a Conic
p. 221-223
Tests for the Scale Parameter of the Truncated Normal
p. 225-236
On an Algorithm of G. Birkhoff Concerning Doubly Stochastic Matrices
p. 237-242
A Determinant Expression of Tchebychev Polynomials
p. 243-246
On the Watson and Laplace Transformations
p. 247-253
On Geodesics of a Modified Riemannian Manifold
p. 255-261
Autoparallel Deviation in the Geometry of Lyra
p. 263-271
Introduction to Von Neumann Algebras and Continuous Geometry
p. 273-288
On the Analytic Continuation of the ζ -Function
p. 289-292
On the Index of a Symmetric Form
p. 293-295