Geodesic

Sommaire du Fascicule no. 1

Extensions of Sylvester's Theorem
p. 1-14
Curves on Surfaces of Constant Width
p. 15-22
Topology of Complex Manifolds
p. 23-27
Free and Injective Lie Modules*
p. 29-42
Note on Generalized Schreier Extensions of Groups
p. 43-47
On the Square of a Homological Monoid
p. 49-55
On Lattices in a Module Over a Matrix Algebra
p. 57-61
A Class of Prime Rings
p. 63-72
Automorphisms of the Semigroup of all Relations on a Set
p. 73-77
A Proof that Souslin Souslin H ⊂ Souslin H
p. 79-82
Sets of Convergence for Series Defined by Iteration1
p. 83-87
Global Stability Determined by Local Properties and the First Variation
p. 89-94
Some Characterizations of the One-Parameter Family of Probability Distributions
p. 95-102
On the Boundary and Tensor Product of Function Algebras
p. 103-106
On Convergence of Projections in Locally Convex Spaces
p. 107-110
On Sums of Valencies in Planar Graphs
p. 111-114
An Introduction to Modern Calculus, by Wilhelm Maak. Translated from the German. Holt, Rinehart and Winston Inc. Publ., New York, 1963. x + 390 pages. $7.00.
p. 132-134
Darstellende Géométrie, F. Rehbock. Springer-Verlag, Berlin-Gottingen-Heidelberg-New York, 1964. II. verbesserte Auflage. xv + 235 pages.
p. 118-119
Nato Summer School on ‘Contemporary Methods of Discrete Mathematics’
p. 140
Mathematical Theory of Optics, by R. K. Luneburg. University of California Press, Berkeley, 1964. xxx + 448 pages. $12.50.
p. 128-131
Book received
p. 135-136
Elements of Mathematics Logic, by P. S. Novikov. Translated by L. F. Boron, with Preface and Notes by R. L. Goodstein. Addison-Wesley Publ. Co., 1964. xi + 296 pages. $7. 95.
p. 122-123
Generators and Relations for Discrete Groups, by H. S. M. Coxeter and W.O.J. Moser. Second Edition. Ergebnisse der Mathematik, Neue Folge, Band 14. Springer Verlag, Berlin, 1965. ix + 161 pages. Price D. M. 32.00.
p. 134-135
Abstract of Thesis
p. 139
News From the Departments
p. 137-138
Nichteuklidische Geometrie, Hyperbolische Geometrie der Zbene by R. Baldus, 4th edition, completed by F. Lobell. Samrnlung Goscher. No. 970-970a. Walter de Gruyter, Berlin, 1964. 158 pages. Price DM 5. 80.
p. 117
Openings in Mathematics
p. 141-142
Generalized Functions and Direct Operational Methods Volume One, by T. P. G. Liverman. Prentice Hail Inc. Englewood Cliffs, N. J., 1904. xiiii + 338 pages.
p. 121-122
Problems for Solution
p. 115
Solution
p. 116
Funktionentheorie, by A. Hurwitz and R. Courant, with an appendix by H. Rohrl. 4th edition. Springer Verlag, Berlin-Gottingen- Heidelberg-New York, 1964. xiii + 706 pages. Price DM. 49.00.
p. 126-128
Topologie II, by Wolfgang Franz. Vol. 2, Algebraische Topologie Samml. Goshen 1182/82a. W. de Gruyter, Berlin, 1965. 153 pages. Price D. M. 5.80.
p. 131-132
Boolean Algebras, by Roman Sikorski. Ergebnisse der Mathematik und ihrer Grenzgebiete (New Ser.) Bd. 25. Second Edition, Springer-Verlag Berlin, Gottingen, Heidelberg. Academic Press Inc., New York, 1964. x + 237 pages. $9.50.
p. 117-118
Generalized Fonctions, Vol. 1: Properties and Operations, by L.M. Gel'f and and G. E. Shilov. (Translated by Eugene Salatan.) Academic Press, New York, 1964. xviii + 423 pages. 512.00.
p. 119-121
"Proceedings of a Harvard Symposium on Digital Computers and their Applications", The Annals of the Computation Laboratory of Harvard University, XXXI, 1962. Harvard University Press, Cambridge, Mass. 332 pages. $18.00. (Published in Canada by S.J. Reginald Saunders and Co. Limited, Toronto.)
p. 124-125
Elements of Numerical Analysis, by Peter Henrici. John Wiley and Sons, Inc. New York, 1964. xv + 328 pages. $8. 00.
p. 124
Numerical Methods in Fortran, by John M. McCormick and Mario G. Salvadori. Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1964. xii + 324 pages. $10.50.
p. 125

Sommaire du Fascicule no. 2

Arithmetic Functions Satisfying a Congruence Property
p. 143-146
Unitary Perfect Numbers
p. 147-153
Some Remarks on a Combinatorial Theorem of Erdös and Rado
p. 155-160
Some Inequalities Related to the Wald-Wolfowitz-Noether Condition*
p. 161-169
Total Digraphs
p. 171-176
Sequences of Euler Graphs
p. 177-182
On the Injective Hulls of Cyclic Modules Over Dedekind Domains
p. 183-186
On the Quotients of Indecomposable Injective Modules
p. 187-190
On Very Large One Sided Ideals of a Ring
p. 191-196
Some Simple Properties of Simple Nil Rings
p. 197-200
A Universal Factorization Theorem in Topology
p. 201-207
A Generating Function for Jacobi Polynomials
p. 209-213
On the Reducibility of Appelles Function F4 *
p. 215-222
A Remarkable Class of Mannheim-Curves
p. 223-228
On Strict Monotonicity of Continuous Solutions of Certain Types of Functional Equations
p. 229-232
Some Remarks on Angular Derivatives and Julia's Lemma
p. 233-241

Sommaire du Fascicule no. 3

On the Densest Packing of Spheres in a Cube
p. 265-270
The Densest Packing of Five Spheres in a Cube
p. 271-274
The Densest Packing of Six Spheres in a Cube
p. 275-280
On Graphs that do not Contain a Thomsen Graph
p. 281-285
On Arithmetic Convolutions
p. 287-296
On Subtournaments of a Tournament
p. 297-301
The Error Term for the Squarefree Integers
p. 303-306
Integration of Non-Measurable Functions
p. 307-330
Unbounded Vector Measures
p. 331-341
A Theorem on Nets
p. 343-346
On a Lemma of M. Abramson
p. 347-348
Function Space Topologies for Connectivity and Semi-Connectivity Functions
p. 349-352
Semi-Hausdorff Spaces
p. 353-356
On Axioms for Semi-Lattices
p. 357-358

Sommaire du Fascicule no. 4

Order in Finite Affine Planes
p. 407-411
On Groups with all Composition Factors Isomorphic
p. 413-415
On Semigroups of Transformations Acting Transitively on a Set
p. 417-420
On Some Special Factorizations of (1-xn)/(1-x)
p. 421-426
Generating Functions for a Class of Arithmetic Functions
p. 427-431
Linear Normed Spaces with Extension Property
p. 433-441
A Brouwer Type Coincidence Theorem
p. 443-446
A New Inversion and Representation Theory for the Laplace Transform
p. 447-455
A Note on Dirichlet Convolutions
p. 457-462
On Carathéodory's Theorem
p. 463-465
A Property of Entire Functions of Exponential Type
p. 467-472
On the Functional Equations f(x+iy)| = |f(x)+f(iy)| and |f(x+iy)| = |f(x)-f(iy)| and on Ivory's Theorem
p. 473-480
The Solution of Non-Homogeneous Systems of Differential Equations by Undetermined Coefficients
p. 481-487
Fatigue Spaces in Electromagnetic-Gravitational Theory
p. 489-507
A Characterization of Deviation from Normality Under Certain Moment Assumptions
p. 509-514
A Combinatorial Theorem
p. 515-516
A Counterexample to a Conjecture of D.F. Sanderson
p. 517
A Global Existence Theorem
p. 519-520
R1-Topological Spaces1
p. 521-523
On Closed, Totally Bounded Sets
p. 525-526
Limites Projectives de Chaines de Demi-Groupes Nilpotents
p. 527-529

Sommaire du Fascicule no. 5

Hamiltonian Circuits and Paths on the n-Cube
p. 557-562
On the Maximum Order of the Group of a Tournament
p. 563-569
A Congruence for a Class of Arithmetic Functions
p. 571-574
Eisenstein's Criteria for Absolute Irreducibility Over a Finite Field
p. 575-580
On Fundamental Constructions and Adjoint Functors
p. 581-591
An Informal Arithmetical Approach to Computability and Computation, III
p. 593-609
Demi-Groupes Separateurs
p. 611-619
Note on Almost Product Manifolds and their Tangent Bundles
p. 621-630
On Disjoint Connected Subsets of a Square Containing Pairs of Antipodal Points
p. 631-638
Translativity for Strong Borel Summability
p. 639-645
On the Strong Summability by Triangular Means of the Derived Fourier Series and its Conjugate Series
p. 647-654
Stability of Interpolation on an Infinite Interval
p. 655-666
An Isoperimetric Inequality for Tetrahedra
p. 667-669
On the Exactness of the Eckmann-Hilton Homotopy Sequence
p. 671-673
A Note on Combinations
p. 675-677
Numerical Linear Algebra
p. 757-801