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The general principles by which the editors and authors of the
present edition have been guided were explained in the preface to
the first volume of Mathemat ics of the 19th Century, which
contains chapters on the history of mathematical logic, algebra,
number theory, and probability theory (Nauka, Moscow 1978; En glish
translation by Birkhiiuser Verlag, Basel-Boston-Berlin 1992).
Circumstances beyond the control of the editors necessitated
certain changes in the sequence of historical exposition of
individual disciplines. The second volume contains two chapters:
history of geometry and history of analytic function theory
(including elliptic and Abelian functions); the size of the two
chapters naturally entailed di viding them into sections. The
history of differential and integral calculus, as well as
computational mathematics, which we had planned to include in the
second volume, will form part of the third volume. We remind our
readers that the appendix of each volume contains a list of the
most important literature and an index of names. The names of
journals are given in abbreviated form and the volume and year of
publication are indicated; if the actual year of publication
differs from the nominal year, the latter is given in parentheses.
The book History of Mathematics from Ancient Times to the Early
Nineteenth Century in Russian], which was published in the years
1970-1972, is cited in abbreviated form as HM (with volume and page
number indicated). The first volume of the present series is cited
as Bk. 1 (with page numbers)."
The creative work of Andrei N. Kolmogorov is exceptionally
wide-ranging. In his studies on trigonometric and orthogonal
series, the theory of measure and inte gral, mathematical logic,
approximation theory, geometry, topology, functional analysis,
classical mechanics, ergodic theory, superposition of functions,
and in formation theory, he solved many conceptual and fundamental
problems and posed new questions which gave rise to a great deal of
further research. Kolmogorov is one of the founders of the Soviet
school of probability theory, mathematical statistics, and the
theory of turbulence. In these areas he obtained a number of
central results, with many applications to mechanics, geophysics,
linguistics and biology, among other subjects. This edition
includes Kolmogorov's most important papers on mathematics and the
natural sciences. It does not include his philosophical and ped
agogical studies, his articles written for the "Bolshaya Sovetskaya
Entsiklopediya", his papers on prosody and applications of
mathematics or his publications on general questions. The material
of this edition was selected and compiled by Kolmogorov himself.The
first volume consists of papers on mathematics and also on
turbulence and classical mechanics. The second volume is devoted to
probability theory and mathematical statistics. The focus of the
third volume is on information theory and the theory of algorithms.
The creative work of Andrei N. Kolmogorov is exceptionally
wide-ranging. In his studies on trigonometric and orthogonal
series, the theory of measure and inte gral, mathematical logic,
approximation theory, geometry, topology, functional analysis,
classical mechanics, ergodic theory, superposition of functions,
and in formation theory, he solved many conceptual and fundamental
problems and posed new questions which gave rise to a great deal of
further research. Kolmogorov is one of the founders of the Soviet
school of probability theory, mathematical statistics, and the
theory of turbulence. In these areas he obtained a number of
central results, with many applications to mechanics, geophysics,
linguistics and biology, among other subjects. This edition
includes Kolmogorov's most important papers on mathematics and the
natural sciences. It does not include his philosophical and ped
agogical studies, his articles written for the "Bolshaya Sovetskaya
Entsiklopediya", his papers on prosody and applications of
mathematics or his publications on general questions. The material
of this edition was selected and compiled by Kolmogorov himself.
The first volume consists of papers on mathematics and also on
turbulence and classical mechanics. The second volume is devoted to
probability theory and mathematical statistics. The focus of the
third volume is on information theory and the theory of algorithms.
The general principles by which the editors and authors of the
present edition have been guided were explained in the preface to
the first volume of Mathemat ics of the 19th Century, which
contains chapters on the history of mathematical logic, algebra,
number theory, and probability theory (Nauka, Moscow 1978; En glish
translation by Birkhiiuser Verlag, Basel-Boston-Berlin 1992).
Circumstances beyond the control of the editors necessitated
certain changes in the sequence of historical exposition of
individual disciplines. The second volume contains two chapters:
history of geometry and history of analytic function theory
(including elliptic and Abelian functions); the size of the two
chapters naturally entailed di viding them into sections. The
history of differential and integral calculus, as well as
computational mathematics, which we had planned to include in the
second volume, will form part of the third volume. We remind our
readers that the appendix of each volume contains a list of the
most important literature and an index of names. The names of
journals are given in abbreviated form and the volume and year of
publication are indicated; if the actual year of publication
differs from the nominal year, the latter is given in parentheses.
The book History of Mathematics from Ancient Times to the Early
Nineteenth Century in Russian], which was published in the years
1970-1972, is cited in abbreviated form as HM (with volume and page
number indicated). The first volume of the present series is cited
as Bk. 1 (with page numbers)."
The creative work of Andrei N. Kolmogorov is exceptionally
wide-ranging. In his studies on trigonometric and orthogonal
series, the theory of measure and inte gral, mathematical logic,
approximation theory, geometry, topology, functional analysis,
classical mechanics, ergodic theory, superposition of functions,
and in formation theory, he solved many conceptual and fundamental
problems and posed new questions which gave rise to a great deal of
further research. Kolmogorov is one of the founders of the Soviet
school of probability theory, mathematical statistics, and the
theory of turbulence. In these areas he obtained a number of
central results, with many applications to mechanics, geophysics,
linguistics and biology, among other subjects. This edition
includes Kolmogorov's most important papers on mathematics and the
natural sciences. It does not include his philosophical and ped
agogical studies, his articles written for the "Bolshaya Sovetskaya
Entsiklopediya", his papers on prosody and applications of
mathematics or his publications on general questions. The material
of this edition was selected and compiled by Kolmogorov himself.The
first volume consists of papers on mathematics and also on
turbulence and classical mechanics. The second volume is devoted to
probability theory and mathematical statistics. The focus of the
third volume is on information theory and the theory of algorithms.
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