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1956, Volume 11, Issue 1(67)  


Nikolai Ivanovich Lobachevskii (photo)
Nikolai Ivanovich Lobachevskii (on the centenary of Lobachevskii's death)
N. V. Efimov
3
On the basic theorems of information theory
A. Ya. Khinchin
17
Integration in function spaces and its application to quantum physics
I. M. Gel'fand, A. M. Yaglom
77
Homology theory of smooth manifolds and its generalizations
M. M. Postnikov
115

Scientific notes and problems
Universal significance of contact transformations
I. S. Arzhanykh
167
Generalized derivatives of continuous functions of two variables
I. Ya. Bakelman, A. L. Verner
173
Applicability of S. A. Caplygin's method of approximate integration to a certain class of ordinary nonlinear differential equations of second order
L. M. Vorob'ev
181
On a method of solving equations
B. D. Vorontsov
187
On identities for eigenvalues of a differential operator of second order
I. M. Gel'fand
191
Automorphisms of multiplicative semigroups of matrix algebras
L. M. Gluskin
199
On a theorem of D. D. Mordukhai-Boltovskoi
R. I. Kirishchiev
207
On a class of uniqueness theorems for the equation $y'=f(x,y)$
M. A. Krasnosel'skii, S. G. Krein
209
On a geometrical problem for an $n$-dimensional simplex
V. G. Lemmlein
215
On an enequality for periodic functions
S. M. Nikol'skii
219
On the stability of the Neumann problem
O. A. Oleinik
223
On the concept of entropy of a finite probabilistic scheme
D. K. Faddeev
227
Method of successive approximations for a Fredholm integral equation of the 1st kind
V. M. Fridman
233
On an integral equation with nonregular kernel
S. D. Èidel'man
235

In the Moscow Mathematical Society
Meetings of the Moscow Mathematical Society
241

Mathematical Events in the USSR
Meetings of the Town's Mathematical Seminar in Leningrad
249
Algebraic Seminar of Ural State University
255
Mathematical Competition in Vitebsk
V. D. Chistyakov
261

Reviews and Bibliography
N. I. Akhiezer, Lectures on the calculus of variations (review)
L. È. Èl'sgol'ts
265
A. M. Yaglom and I. M. Yaglom, Non-elementary problems in an elementary exposition (review)
V. G. Boltyanskii
266
About the journal “Vestnik Leningradskogo Universiteta”
Yu. V. Linnik
268
Успехи математических наук
 
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