Kac, Mark
Overview
Works:  107 works in 525 publications in 9 languages and 8,736 library holdings 

Genres:  Popular works Biography Conference papers and proceedings History Textbooks 
Roles:  Author, Editor, Author of introduction, Honoree, Creator 
Classifications:  QA273, 510 
Publication Timeline
.
Most widely held works about
Mark Kac
 Enigmas of chance : an autobiography by Mark Kac( Book )
 Mark Kac : probability, number theory, and statistical physics : selected papers by Mark Kac( Book )
 Probability, number theory and statistical physics : selected papers by Mark Kac( Book )
 Kac, Mark( )
 Kac, Mark. educator, mathematician( )
 Thomas A. Ryan notes by Thomas A Ryan( )
 Papers by Norbert Wiener( )
 by Thomas A Ryan( )
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fewer
Most widely held works by
Mark Kac
Statistical independence in probability, analysis and number theory by
Mark Kac(
Book
)
56 editions published between 1959 and 2018 in 6 languages and held by 1,104 WorldCat member libraries worldwide
Professor Kac's monograph is designed to illustrate how simple observations can be made the starting point of rich and fruitful theories and how the same theme recurs in seemingly unrelated disciplines. An elementary but thorough discussion of the game of 'heads or tails', including the normal law and the laws of large numbers, is presented in a setting in which a variety of purely analytic results appear natural and inevitable. The chapter 'Primes Play a Game of Chance' uses the same setting in dealing with problems of the distribution of values of arithmetic functions. The final chapter 'From Kinetic Theory to Continued Fractions' deals with a spectacular application of the ergodic theorems to continued fractions. Mark Kac conveyed his infectious enthusiasm for mathematics and its applications in his lectures, papers, and books. Two of his papers won Chauvenet awards for expository excellence. Born in Poland, he studied with Hugo Steinhaus at Lwów earning his doctorate in 1936. He had a long and productive career in the United States, serving on the faculties of Cornell University (19391961), Rockefeller University (19611982), and the University of Southern California (1982 until his death in 1984)
56 editions published between 1959 and 2018 in 6 languages and held by 1,104 WorldCat member libraries worldwide
Professor Kac's monograph is designed to illustrate how simple observations can be made the starting point of rich and fruitful theories and how the same theme recurs in seemingly unrelated disciplines. An elementary but thorough discussion of the game of 'heads or tails', including the normal law and the laws of large numbers, is presented in a setting in which a variety of purely analytic results appear natural and inevitable. The chapter 'Primes Play a Game of Chance' uses the same setting in dealing with problems of the distribution of values of arithmetic functions. The final chapter 'From Kinetic Theory to Continued Fractions' deals with a spectacular application of the ergodic theorems to continued fractions. Mark Kac conveyed his infectious enthusiasm for mathematics and its applications in his lectures, papers, and books. Two of his papers won Chauvenet awards for expository excellence. Born in Poland, he studied with Hugo Steinhaus at Lwów earning his doctorate in 1936. He had a long and productive career in the United States, serving on the faculties of Cornell University (19391961), Rockefeller University (19611982), and the University of Southern California (1982 until his death in 1984)
Discrete thoughts : essays on mathematics, science, and philosophy by
Mark Kac(
Book
)
56 editions published between 1986 and 2009 in English and Undetermined and held by 889 WorldCat member libraries worldwide
This is a volume of essays and reviews that delightfully explore mathematics in all its moods  from the light and the witty, and humorous to serious, rational, and cerebral. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and applications of mathematics broadly. You will also find history and philosophy covered, including discussion of the work of Ulam, Kant, Heidegger among others." ... these papers reflect on mathematics and its influence on human society. They can help the specialist to notice what is going on around him, and they may lead educated people from other domains to a better understanding of mathematics. Many of these papers can advise educators how to form a modern mathematics education, which develops approved ideas and institutions ... I admire the stimulating perspectives of the authors."American Mathematical Society "'Mathematicians, like Proust and everyone else, are at their best when writing about their first love' ... They are among the very best we have; and their best is very good indeed. ... One approaches this book with high hopes. Happily, one is not disappointed."The Mathematical Intelligencer "Mathematics is shaped by the consistent concerns and styles of powerful minds three of which are represented here. Kac's work is marked by deep commitment and breadth of inquiry. Rota is the easiest of these authors to read ... a delight: witty and urbane, with a clear and interesting agenda and an astonishing intellectual range. To read him is to be a part of a pleasant and rewarding conversation.Mathematics Magazine
56 editions published between 1986 and 2009 in English and Undetermined and held by 889 WorldCat member libraries worldwide
This is a volume of essays and reviews that delightfully explore mathematics in all its moods  from the light and the witty, and humorous to serious, rational, and cerebral. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and applications of mathematics broadly. You will also find history and philosophy covered, including discussion of the work of Ulam, Kant, Heidegger among others." ... these papers reflect on mathematics and its influence on human society. They can help the specialist to notice what is going on around him, and they may lead educated people from other domains to a better understanding of mathematics. Many of these papers can advise educators how to form a modern mathematics education, which develops approved ideas and institutions ... I admire the stimulating perspectives of the authors."American Mathematical Society "'Mathematicians, like Proust and everyone else, are at their best when writing about their first love' ... They are among the very best we have; and their best is very good indeed. ... One approaches this book with high hopes. Happily, one is not disappointed."The Mathematical Intelligencer "Mathematics is shaped by the consistent concerns and styles of powerful minds three of which are represented here. Kac's work is marked by deep commitment and breadth of inquiry. Rota is the easiest of these authors to read ... a delight: witty and urbane, with a clear and interesting agenda and an astonishing intellectual range. To read him is to be a part of a pleasant and rewarding conversation.Mathematics Magazine
Mathematics and logic; retrospect and prospects by
Mark Kac(
Book
)
40 editions published between 1968 and 1979 in 3 languages and held by 770 WorldCat member libraries worldwide
40 editions published between 1968 and 1979 in 3 languages and held by 770 WorldCat member libraries worldwide
Studies in probability theory by
Murray Rosenblatt(
Book
)
8 editions published in 1978 in English and Undetermined and held by 627 WorldCat member libraries worldwide
8 editions published in 1978 in English and Undetermined and held by 627 WorldCat member libraries worldwide
Probability and related topics in physical sciences by
Mark Kac(
Book
)
33 editions published between 1957 and 1991 in 4 languages and held by 511 WorldCat member libraries worldwide
33 editions published between 1957 and 1991 in 4 languages and held by 511 WorldCat member libraries worldwide
Topics in functional analysis : essays dedicated to M.G. Krein on the occasion of his 70th birthday(
Book
)
18 editions published in 1978 in English and held by 314 WorldCat member libraries worldwide
18 editions published in 1978 in English and held by 314 WorldCat member libraries worldwide
Aspects probabilistes de la théorie du potentiel by
Mark Kac(
Book
)
16 editions published between 1970 and 1973 in 3 languages and held by 224 WorldCat member libraries worldwide
16 editions published between 1970 and 1973 in 3 languages and held by 224 WorldCat member libraries worldwide
Basic stochastic processes : the Mark Kac lectures by
Reza Iranpour(
Book
)
7 editions published in 1988 in English and held by 224 WorldCat member libraries worldwide
7 editions published in 1988 in English and held by 224 WorldCat member libraries worldwide
Proceedings of the Summer Seminar, Boulder, Colorado, 1960 by Summer Seminar on Applied Mathematics ((
Book
)
6 editions published between 1963 and 1965 in English and held by 214 WorldCat member libraries worldwide
6 editions published between 1963 and 1965 in English and held by 214 WorldCat member libraries worldwide
Probability, statistical mechanics, and number theory : a volume dedicated to Mark Kac(
Book
)
5 editions published in 1986 in English and held by 208 WorldCat member libraries worldwide
5 editions published in 1986 in English and held by 208 WorldCat member libraries worldwide
Mathematics and logic by
Mark Kac(
Book
)
15 editions published between 1968 and 1992 in English and held by 182 WorldCat member libraries worldwide
A description of the historical development of mathematics with a brief survey of high points and trenchant influences, originally published in 1986 by Praeger. A remarkable bargain. Fascinating study considers the origins and nature of mathematics, its development and role in the history of scientific thinking, impact of highspeed computers, 20thcentury changes in the foundations of mathematics and mathematical logic, mathematization of science and technology, much more. Compelling reading for mathematicians, physicists, studentsanyone interested in the evolution of mathematical thought. 34 illustrations. 1968 edition
15 editions published between 1968 and 1992 in English and held by 182 WorldCat member libraries worldwide
A description of the historical development of mathematics with a brief survey of high points and trenchant influences, originally published in 1986 by Praeger. A remarkable bargain. Fascinating study considers the origins and nature of mathematics, its development and role in the history of scientific thinking, impact of highspeed computers, 20thcentury changes in the foundations of mathematics and mathematical logic, mathematization of science and technology, much more. Compelling reading for mathematicians, physicists, studentsanyone interested in the evolution of mathematical thought. 34 illustrations. 1968 edition
Quelques problèmes mathématiques en physique statistique by
Mark Kac(
Book
)
10 editions published in 1974 in French and Undetermined and held by 151 WorldCat member libraries worldwide
10 editions published in 1974 in French and Undetermined and held by 151 WorldCat member libraries worldwide
Four papers on probability by
Kai Lai Chung(
Book
)
9 editions published between 1951 and 1971 in English and Undetermined and held by 145 WorldCat member libraries worldwide
9 editions published between 1951 and 1971 in English and Undetermined and held by 145 WorldCat member libraries worldwide
Analytic geometry and calculus by
John F Randolph(
Book
)
10 editions published between 1946 and 1949 in English and held by 138 WorldCat member libraries worldwide
10 editions published between 1946 and 1949 in English and held by 138 WorldCat member libraries worldwide
Integral geometry and geometric probability by
Luis A Santaló(
Book
)
10 editions published between 1976 and 2004 in English and held by 89 WorldCat member libraries worldwide
Now available in the Cambridge Mathematical Library, the classic work from Luis Santaló. Integral geometry originated with problems on geometrical probability and convex bodies. Its later developments, however, have proved to be useful in several fields ranging from pure mathematics (measure theory, continuous groups) to technical and applied disciplines (pattern recognition, stereology). The book is a systematic exposition of the theory and a compilation of the main results in the field. The volume can be used to complement courses on differential geometry, Lie groups or probability or differential geometry. It is ideal both as a reference and for those wishing to enter the field
10 editions published between 1976 and 2004 in English and held by 89 WorldCat member libraries worldwide
Now available in the Cambridge Mathematical Library, the classic work from Luis Santaló. Integral geometry originated with problems on geometrical probability and convex bodies. Its later developments, however, have proved to be useful in several fields ranging from pure mathematics (measure theory, continuous groups) to technical and applied disciplines (pattern recognition, stereology). The book is a systematic exposition of the theory and a compilation of the main results in the field. The volume can be used to complement courses on differential geometry, Lie groups or probability or differential geometry. It is ideal both as a reference and for those wishing to enter the field
Integration in function spaces and some of its applications by
Mark Kac(
Book
)
10 editions published in 1980 in English and Italian and held by 73 WorldCat member libraries worldwide
10 editions published in 1980 in English and Italian and held by 73 WorldCat member libraries worldwide
Enigmas of chance : an autobiography by
Mark Kac(
Book
)
28 editions published between 1985 and 2013 in 4 languages and held by 67 WorldCat member libraries worldwide
This autobiography covers the life of Mark Kac, the Polish mathematician known best for his interest in probability theory. His question, "Can you hear the shape of a drum?"set the stage for research into spectral theory
28 editions published between 1985 and 2013 in 4 languages and held by 67 WorldCat member libraries worldwide
This autobiography covers the life of Mark Kac, the Polish mathematician known best for his interest in probability theory. His question, "Can you hear the shape of a drum?"set the stage for research into spectral theory
Mathematiques et logiques : retrospective et perspectives by
Mark Kac(
Book
)
8 editions published in 1973 in French and held by 60 WorldCat member libraries worldwide
8 editions published in 1973 in French and held by 60 WorldCat member libraries worldwide
Marian Smoluchowski : his life and scientific work by
S Chandrasekhar(
Book
)
9 editions published between 1986 and 2000 in English and held by 57 WorldCat member libraries worldwide
9 editions published between 1986 and 2000 in English and held by 57 WorldCat member libraries worldwide
Lectures in applied mathematics; proceedings by Summer Seminar on Applied Mathematics(
Book
)
in English and held by 52 WorldCat member libraries worldwide
in English and held by 52 WorldCat member libraries worldwide
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fewer
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Related Identities
 Rota, GianCarlo 19321999 Author Editor
 Schwartz, Jacob T. Collector
 Ulam, Stanislaw M.
 Rosenblatt, Murray Editor
 Kiefer, Jack 19241981
 Leadbetter, M. R.
 Papanicolaou, George
 Ornstein, Donald 1934
 Donsker, M. D. Editor
 Newman, Harry Editor
Useful Links
Associated Subjects
Brownian motion processes Brownian movements Calculus Cornell University.Department of Psychology Educators Engineering mathematics Functional analysis Functions Function spaces Galdston, Iago, Game theory Geometric probabilities Geometry, Analytic Harrison, George Russell, Hein, Piet, History Integral geometry Kac, Mark Killian, James Rhyne, Kosambi, D. D.(Damodar Dharmanand), Kreĭn, M. G.(Mark Grigorʹevich), Logic Logic, Symbolic and mathematical Markov processes Mathematical physics Mathematical statistics Mathematicians Mathematics MathematicsResearch McCulloch, Warren S.(Warren Sturgis), Neyman, Jerzy, Number theory Particles (Nuclear physics) Phase transformations (Statistical physics) Philosophy Physicists Poland Potential theory (Mathematics) Probabilities Quantum field theory Quantum theory Random variables Relativity (Physics) Reuther, Walter, Science Smoluchowski, Marian, Statistical mechanics Statistical physics Stochastic processes United States
Alternative Names
Kac, M.
Kac, M., 19141984
Kac, M. (Mark)
Kac, Marc 19141984
Kac, Marek.
Kac, Mark
Marcus Kac
Mark Kac
Mark Kac Amerikaans wiskundige (19141984)
Mark Kac matematico e statistico polacco
Mark Kac mathématicien polonoaméricain
Mark Kac PolishAmerican mathematician
Mark Kac poljskoameriški matematik
Mark Kac polnischer Mathematiker
Mark Kac polski matematyk pracujący w USA
Кац, М 19141984
Кац, М. (Марк), 19141984
Кац, Марк
Кац, Марк 19141984
Марк Кац
مارك كاك
Languages
English
(325)
French (27)
Italian (9)
Russian (7)
Chinese (2)
Japanese (2)
Polish (1)
Greek, Modern (1)
Spanish (1)
French (27)
Italian (9)
Russian (7)
Chinese (2)
Japanese (2)
Polish (1)
Greek, Modern (1)
Spanish (1)
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