Uspekhi Mat. Nauk, 1957, Volume 12, Issue 4(76)

JOURNALS // Uspekhi Matematicheskikh Nauk // Archive

1957, Volume 12, Issue 4(76)

	Leonard Euler (photo)
	Life and mathematical achievement of Leonhard Euler A. P. Yushkevich	3
	On some characteristic features of the ideas of L. Euler in the field of mathematical analysis and his “Introductio in analysin infinitorum” A. O. Gel'fond	29
	Cumulative charge and the principles of its operation M. A. Lavrent'ev	41
	On the periodic problem of global variational calculus S. I. Alber	57
	Nikolai Nikolaevich Nazarov (photo)
	Nikolai Nikolaevich Nazarov (on the tenth annivesary of his death) M. I. Kuchmar	125
	The analytic method of Nekrasov–Nazarov in non-linear analysis K. T. Akhmedov	135
	Frigyes Riesz (photo)
	Frigyes Riesz (necrologue)	155

Scientific notes and problems
	On the limits of indeterminacy in summation of a series by the methods of Cesàro and Poisson–Abel N. A. Davydov	167
	On an approximative method for solution of boundary problems with complicated boundary conditions D. A. Zaikin, M. V. Kazarnovskii	175
	On a class of functions A. A. Konyushkov	177
	Topological nilpotent rings with minimal condition L. Makharadze	181
	On equivalence of certain theorems about systems of linear inequalities G. N. Nefed'ev	187
	On the removing of singularities for analytic functions of a certain class (class $D$) G. Ts. Tumarkin, S. Ya. Havinson	193
	On some properties of linear operators ensuring the correctness of the Hilbert–Schmidt theorem D. F. Kharazov	201
	Some estimates of the genus of a topological space in the sense of Krasnosel'skii A. S. Schwarz	209
	On a problem of Sikorskii A. S. Schwarz	215

In the Moscow Mathematical Society
	Meetings of the Moscow Mathematical Society	217

Mathematical Events in the USSR and abroad
	Eulerian jubilee celebrations in the USSR and German Democratic Republic A. P. Yushkevich	223
	Il'ya Nestorovich Vekua (photo)
	Il'ya Nestorovich Vekua (on the fiftieth anniversary of his birth) M. A. Lavrent'ev, S. L. Sobolev	227
	Seminar on Qualitative Theory of Differential Equations in Moscow University V. V. Nemytskii	235
	Enlarged Session of Voronezh Seminar on Functional Analysis, March 1957 M. A. Krasnosel'skii, S. G. Krein, A. D. Myshkis	241
	Works of Kazan mathematicians on orthogonal systems B. M. Gagaev	251

Reviews and Bibliography
	M. A. Naimark, Normed rings (review) S. V. Fomin	263

Letters to the Editor
	To the Editor of UMN D. Z. Gordevskii	266

Scientific communications and problems (Appendix)
	On the lattice of subgroups of a group with finite layers M. L. Berlinkov	267
	On the maximum modulus of a quasi-smooth function Yu. A. Brudnyi	273
	Estimate of the sum of the number of divisors in a short segment of an arithmetic progression A. I. Vinogradov, Yu. V. Linnik	277
	A metric characteristic of congruences of circles with families of canal-surfaces R. M. Geidel'man	281
	Structure of right ideals of a semigroup with unit element and with left cancellation T. E. Dragunova	285
	On the foundations of the Fourier method for the wave equation V. A. Il'in	289
	On conjugacy of Sylow $p$-subgroups of a locally normal group M. I. Kargapolov	297
	On complex commutators of elements of a group È. B. Kikodze	301
	Some applications of the method of Caplygin to the approximate solution of differential equations with a retarded argument È. I. Klyamko	305
	On the decomposition of linear operators M. A. Krasnosel'skii, V. I. Sobolev	313
	On bases and complete systems in a space of analytic functions of two variables G. S. Litvinchuk, M. G. Khaplanov	319
	On rings of continuous functions on a circumference L. A. Markushevich	327
	On continuous decompositions of bicompacts V. I. Ponomarev	335
	Solution of the Cauchy problem for the equation $\dfrac{\partial^2u}{\partial t^2}+\Delta\Delta u=0$ Yu. V. Sidorov	341
	On summability of potentials Kh. L. Smolitskii	349
	Rings as sets with one operation subject to a unique identity Yu. I. Sorkin	357
	On an hypothesis of Pompeiyu Yu. Yu. Trokhimchuk	363