Khinchin, A. I︠A︡ (Aleksandr I︠A︡kovlevich) 18941959
Overview
Works:  153 works in 1,053 publications in 5 languages and 9,944 library holdings 

Roles:  Author, Editor, Creator, Redactor, Translator, Other, Dedicatee 
Classifications:  QA273, 519.1 
Publication Timeline
.
Most widely held works about
A. I︠A︡ Khinchin
 The legacy of A. Ya. Khintchine's work in probability theory by Sergei V Rogosin( Book )
 Calcul des probabilités : sur une formule limite de M.A. Khintchine by A. N Kolmogorov( Book )
Most widely held works by
A. I︠A︡ Khinchin
An elementary introduction to the theory of probability by
B. V Gnedenko(
Book
)
84 editions published between 1946 and 2015 in 5 languages and held by 1,431 WorldCat member libraries worldwide
This compact volume equips the reader with all the facts and principles essential to a fundamental understanding of the theory of probability. It is an introduction, no more: throughout the book the authors discuss the theory of probability for situations having only a finite number of possibilities, and the mathematics employed is held to the elementary level. But within its purposely restricted range it is extremely thorough, well organized, and absolutely authoritative. It is the only English translation of the latest revised Russian edition; and it is the only current translation on the market that has been checked and approved by Gnedenko himself. After explaining in simple terms the meaning of the concept of probability and the means by which an event is declared to be in practice, impossible, the authors take up the processes involved in the calculation of probabilities. They survey the rules for addition and multiplication of probabilities, the concept of conditional probability, the formula for total probability, Bayes's formula, Bernoulli's scheme and theorem, the concepts of random variables, insufficiency of the mean value for the characterization of a random variable, methods of measuring the variance of a random variable, theorems on the standard deviation, the Chebyshev inequality, normal laws of distribution, distribution curves, properties of normal distribution curves, and related topics. The book is unique in that, while there are several high school and college textbooks available on this subject, there is no other popular treatment for the layman that contains quite the same material presented with the same degree of clarity and authenticity. Anyone who desires a fundamental grasp of this increasingly important subject cannot do better than to start with this book. New preface for Dover edition by B.V. Gnedenko.
84 editions published between 1946 and 2015 in 5 languages and held by 1,431 WorldCat member libraries worldwide
This compact volume equips the reader with all the facts and principles essential to a fundamental understanding of the theory of probability. It is an introduction, no more: throughout the book the authors discuss the theory of probability for situations having only a finite number of possibilities, and the mathematics employed is held to the elementary level. But within its purposely restricted range it is extremely thorough, well organized, and absolutely authoritative. It is the only English translation of the latest revised Russian edition; and it is the only current translation on the market that has been checked and approved by Gnedenko himself. After explaining in simple terms the meaning of the concept of probability and the means by which an event is declared to be in practice, impossible, the authors take up the processes involved in the calculation of probabilities. They survey the rules for addition and multiplication of probabilities, the concept of conditional probability, the formula for total probability, Bayes's formula, Bernoulli's scheme and theorem, the concepts of random variables, insufficiency of the mean value for the characterization of a random variable, methods of measuring the variance of a random variable, theorems on the standard deviation, the Chebyshev inequality, normal laws of distribution, distribution curves, properties of normal distribution curves, and related topics. The book is unique in that, while there are several high school and college textbooks available on this subject, there is no other popular treatment for the layman that contains quite the same material presented with the same degree of clarity and authenticity. Anyone who desires a fundamental grasp of this increasingly important subject cannot do better than to start with this book. New preface for Dover edition by B.V. Gnedenko.
Mathematical foundations of statistical mechanics by
A. I︠A︡ Khinchin(
Book
)
35 editions published between 1940 and 2014 in English and Russian and held by 908 WorldCat member libraries worldwide
Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more
35 editions published between 1940 and 2014 in English and Russian and held by 908 WorldCat member libraries worldwide
Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more
Continued fractions by
A. I︠A︡ Khinchin(
Book
)
61 editions published between 1953 and 1997 in 3 languages and held by 889 WorldCat member libraries worldwide
61 editions published between 1953 and 1997 in 3 languages and held by 889 WorldCat member libraries worldwide
Mathematical foundations of information theory by
A. I︠A︡ Khinchin(
Book
)
40 editions published between 1957 and 2013 in English and Undetermined and held by 872 WorldCat member libraries worldwide
The entropy concept in probability theory. On the fundamental theorems of information theory. Elementary inequalities. Ergodic sources; Channels and the sources driving them. Feinstein's fundamental lemma. Shannon's theorems
40 editions published between 1957 and 2013 in English and Undetermined and held by 872 WorldCat member libraries worldwide
The entropy concept in probability theory. On the fundamental theorems of information theory. Elementary inequalities. Ergodic sources; Channels and the sources driving them. Feinstein's fundamental lemma. Shannon's theorems
Three pearls of number theory by
A. I︠A︡ Khinchin(
Book
)
27 editions published between 1952 and 1998 in English and held by 674 WorldCat member libraries worldwide
"This little book is devoted to three theorems in arithmetic, which, in spite of their apparent simplicity, have been the objects of the efforts of many important mathematical scholars. The proofs which are presented here make use of completely elementary means, (although they are not very simple). The book can be understood by beginning college students, and is intended for wide circles of lovers of mathematics."Foreword
27 editions published between 1952 and 1998 in English and held by 674 WorldCat member libraries worldwide
"This little book is devoted to three theorems in arithmetic, which, in spite of their apparent simplicity, have been the objects of the efforts of many important mathematical scholars. The proofs which are presented here make use of completely elementary means, (although they are not very simple). The book can be understood by beginning college students, and is intended for wide circles of lovers of mathematics."Foreword
Mathematical methods in the theory of queueing by
A. I︠A︡ Khinchin(
Book
)
48 editions published between 1955 and 2013 in 3 languages and held by 633 WorldCat member libraries worldwide
Written by a prominent Russian mathematician, this concise monograph examines aspects of queuing theory as an application of probability. Prerequisites include a familiarity with the theory of probability and mathematical analysis. Students and professionals in operations research as well as applied mathematicians will find this elegant, groundbreaking work of substantial interest. 1960 edition
48 editions published between 1955 and 2013 in 3 languages and held by 633 WorldCat member libraries worldwide
Written by a prominent Russian mathematician, this concise monograph examines aspects of queuing theory as an application of probability. Prerequisites include a familiarity with the theory of probability and mathematical analysis. Students and professionals in operations research as well as applied mathematicians will find this elegant, groundbreaking work of substantial interest. 1960 edition
Eight lectures on mathematical analysis by
A. I︠A︡ Khinchin(
Book
)
26 editions published between 1943 and 1977 in 3 languages and held by 418 WorldCat member libraries worldwide
26 editions published between 1943 and 1977 in 3 languages and held by 418 WorldCat member libraries worldwide
The teaching of mathematics; essays by
A. I︠A︡ Khinchin(
Book
)
23 editions published between 1963 and 1968 in 3 languages and held by 413 WorldCat member libraries worldwide
23 editions published between 1963 and 1968 in 3 languages and held by 413 WorldCat member libraries worldwide
A course of mathematical analysis by
A. I︠A︡ Khinchin(
Book
)
30 editions published between 1960 and 1961 in English and Undetermined and held by 391 WorldCat member libraries worldwide
30 editions published between 1960 and 1961 in English and Undetermined and held by 391 WorldCat member libraries worldwide
Mathematical foundations of quantum statistics. Translation from the 1st (1951) Russian ed by
A. I︠A︡ Khinchin(
Book
)
19 editions published between 1949 and 2013 in English and held by 331 WorldCat member libraries worldwide
Mathematicians with a basic understanding of quantum physics and physicists interested in the topic will benefit from this practical text. The treatment examines the basis of quantum statistical computational methods, the determination of the mean values of occupation numbers, the foundations of the statistics of photons and material particles, and statistical thermodynamics. 1960 edition
19 editions published between 1949 and 2013 in English and held by 331 WorldCat member libraries worldwide
Mathematicians with a basic understanding of quantum physics and physicists interested in the topic will benefit from this practical text. The treatment examines the basis of quantum statistical computational methods, the determination of the mean values of occupation numbers, the foundations of the statistics of photons and material particles, and statistical thermodynamics. 1960 edition
Analytical foundations of physical statistics by
A. I︠A︡ Khinchin(
Book
)
13 editions published in 1961 in English and Italian and held by 265 WorldCat member libraries worldwide
13 editions published in 1961 in English and Italian and held by 265 WorldCat member libraries worldwide
Kettenbrüche by
A. I︠A︡ Khinchin(
Book
)
26 editions published between 1949 and 2004 in 5 languages and held by 183 WorldCat member libraries worldwide
26 editions published between 1949 and 2004 in 5 languages and held by 183 WorldCat member libraries worldwide
Arbeiten zur Informationstheorie by
A. I︠A︡ Khinchin(
Book
)
36 editions published between 1957 and 1967 in 4 languages and held by 178 WorldCat member libraries worldwide
36 editions published between 1957 and 1967 in 4 languages and held by 178 WorldCat member libraries worldwide
Mathematische Grundlagen der Quantenstatistik by
A. I︠A︡ Khinchin(
Book
)
13 editions published in 1956 in German and Undetermined and held by 151 WorldCat member libraries worldwide
13 editions published in 1956 in German and Undetermined and held by 151 WorldCat member libraries worldwide
Drei Perlen der Zahlentheorie by
A. I︠A︡ Khinchin(
Book
)
22 editions published between 1951 and 1984 in German and held by 144 WorldCat member libraries worldwide
22 editions published between 1951 and 1984 in German and held by 144 WorldCat member libraries worldwide
Mathematische Grundlagen der statistischen Mechanik by
A. I︠A︡ Khinchin(
Book
)
13 editions published between 1956 and 1964 in German and held by 93 WorldCat member libraries worldwide
13 editions published between 1956 and 1964 in German and held by 93 WorldCat member libraries worldwide
Elementare Einführung in die Wahrscheinlichkeitsrechnung : mit 82 Beispielen und 73 Übungsaufgaben mit vollständigem Lösungsweg by
Karl Bosch(
Book
)
16 editions published between 1960 and 1979 in German and held by 84 WorldCat member libraries worldwide
Elementare Einführung in die Grundbegriffe der Wahrscheinlichkeitstheorie. Wahrscheinlichkeitsbegriff, diskrete,stetige und allgemeine Zufallsvariable, spezielle Wahrscheinlichkeits vertileungen, Gesetze großer Zahlen und Testverteilungen.;Mit Übungsaufgaben und
16 editions published between 1960 and 1979 in German and held by 84 WorldCat member libraries worldwide
Elementare Einführung in die Grundbegriffe der Wahrscheinlichkeitstheorie. Wahrscheinlichkeitsbegriff, diskrete,stetige und allgemeine Zufallsvariable, spezielle Wahrscheinlichkeits vertileungen, Gesetze großer Zahlen und Testverteilungen.;Mit Übungsaufgaben und
Asymptotische Gesetƶe der Wahrscheinlichkeitsrechnung by
A. I︠A︡ Khinchin(
)
1 edition published in 1933 in German and held by 3 WorldCat member libraries worldwide
1 edition published in 1933 in German and held by 3 WorldCat member libraries worldwide
Enzyklopädie der Elementarmathematik(
Book
)
in German and held by 1 WorldCat member library worldwide
in German and held by 1 WorldCat member library worldwide
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Audience Level
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Related Identities
 Gnedenko, B. V. (Boris Vladimirovich) 19121995 Author Editor
 Aleksandrov, P. S. Author Editor
 Markushevich, A. I. (Alekseĭ Ivanovich) 1908 Author Editor Redactor
 Eagle, Herbert Editor
 Limberg, Helmut
 Rupp, KarlHeinz Creator
 Silverman, Richard A. Translator
 Kolmogorov, Andrej N. Author
 Friedman, M. D. Translator
 Akademii︠a︡ pedagogicheskikh nauk RSFSR
Useful Links
Associated Subjects
Algorithms Calculus Computer science Continued fractions Distribution (Probability theory) Education Entropy (Information theory) Information theory Khinchin, A. I︠A︡.(Aleksandr I︠A︡kovlevich), Mathematical analysis Mathematical statistics Mathematics MathematicsStudy and teaching Mechanics Number theory Probabilities Processes, Infinite Quantum statistics Queuing theory Russia Shannon, Claude Elwood, Soviet Union Statistical mechanics Statistics
Alternative Names
Aleksandar Hinčin
Aleksander Jakovljevič Hinčin
Aleksandr Chinczyn
Aleksandr Jakovlevič Chinčin matematico sovietico
Aleksandr Jakovleviĉ Ĥinĉin rusa matematikisto
Aleksandr Khinchin matemático ruso
Aleksandr Khinchin Russian mathematician
Aleksandr Khinchin Soviet mathematician
Aleksandr Khinchin wiskundige uit Keizerrijk Rusland (18941959)
Aleksandr Yakovlevič Khinčin
Alexander Jakowlewitsch Chintschin russischer Mathematiker
Alexandr Chinčin
Alexandre Khintchine mathématicien russe
Chinchin, Aleksandr J. 18941959
Chinčin, A. Ja 18941959
Chincin, Aleksandr J. 18941959
Chincin, Aleksandr Ja 18941959
Chinčin, Aleksandr Jakovlevič
Chinčin, Aleksandr Jakovlevič 18941959
Chinčin, Aleksandr Jakovlevič. [t]
Chincin, Aleksandr Jakowlević 18941959
Chinczyn, A.
Chinczyn, A. J.
Chinschin, A.J
Chintjin, Aleksandr 18941959
Chintschin, A.J.
Chintschin, A.J. 18941959
Chintschin, Aleksandr J. 18941959
Chintschin, Aleksandr Ja 18941959
Chintschin, Aleksandr Jakovlewič
Chintschin, Aleksandr Jakovlewič 18941959
Chintschin, Alexander J. 18941959
Chintschin, Alexander Jakowlewitsch.
Chintschin, Alexander Jakowlewitsch 18941959
Chintschin, Alexandr Jakowlewitsch 18941959
Chintscin, A. Y.
Hinchin, Aleksandr Iakovlevich
Hinčin, A. Â.
Hinčin, A. J. 18941959
Hinčin, Aleksandr.
Hinčin, Aleksandr Jakovlevič
Hincin, Aleksandr Jakovlevic 18941959
Hinčins, A. 18941959
Hinčins, A. J. 18941959
Hinczyn, A.
Hintchin, Aleksandr Iakovlevitch
Khinchin, A. 18941959
Khinchin, A.I.
Khinchin, A.I. 18941959
Khinchin, A. I︠A︡.
Khinchin, A.J. 18941959
Khinchin, A.Y.
Khinchin, A. Y. 18941959
Khinchin, A. Ya.
Khinchin, A. Ya 18941959
Khinchin, Aleksandr I. 18941959
Khinchin, Aleksandr I︠A︡kovlevich
Khinchin, Aleksandr I︠A︡kovlevich 18941959
Khinchin, Aleksandr Jakovlevich.
Khinchin, Aleksandr Y. 18941959
Khinchin, Aleksandr Yakoblevich
Khinchin, Aleksandr Yakovlevich
Khinchin, Alexander Y.
Khinchin, Alexandr Iakovlevitch
Khinchin, Alexandr Jakovlevich
Khinchin, Alexandr Yakovlevitch
Khinchine, A. Ya 18941959
Khintchin, Aleksandr Iâkovlevitch 18941959
Khintchin, Aleksandr Y. 18941959
Khintchine, A.
Khintchine, A. 18941959
Khintchine, A.Ia
Khintchine, A.Iâ 18941959
Khintchine, A. J. 18941959
Khintchine, A. Ja.
Khintchine, A. Y.
Khintchine, A. Y. 18941959
Khintchine, A. Ya 18941959
Khintchine, Aleksandr J. 18941959
Khintchine, Aleksandr Y. 18941959
Sinsčin, Alexandr Jakovlevic 18941959
Александар Хинчин
Хинчин, А. Я..
Хинчин, А. Я 18941959
Хинчин, А. Я. (Александр Яковлевич), 18941959
Хинчин, Александр Яковлевич.
Хинчин, Александр Яковлевич 18941959
الکساندر خینشین ریاضیدان روسی
アレクサンドル・ヒンチン
ヒンチン, ア・ヤ
ヒンチン, マ・ヤ
亞力山大·歆欽
亚历山大·欣钦
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