Statistical Independence in Probability, Analysis and Number Theory
(eBook)

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Published
Dover Publications, 2018.
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Available Online

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Format
eBook
Language
English
ISBN
9780486833408

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Citations

APA Citation, 7th Edition (style guide)

Mark Kac., & Mark Kac|AUTHOR. (2018). Statistical Independence in Probability, Analysis and Number Theory . Dover Publications.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

Mark Kac and Mark Kac|AUTHOR. 2018. Statistical Independence in Probability, Analysis and Number Theory. Dover Publications.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

Mark Kac and Mark Kac|AUTHOR. Statistical Independence in Probability, Analysis and Number Theory Dover Publications, 2018.

MLA Citation, 9th Edition (style guide)

Mark Kac, and Mark Kac|AUTHOR. Statistical Independence in Probability, Analysis and Number Theory Dover Publications, 2018.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

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Grouped Work ID2e33d105-6014-7d2b-a043-8466381b35cb-eng
Full titlestatistical independence in probability analysis and number theory
Authorkac mark
Grouping Categorybook
Last Update2022-12-03 19:01:46PM
Last Indexed2024-04-17 23:59:23PM

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First LoadedMar 3, 2023
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Hoopla Extract Information

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    [synopsis] => This concise monograph in probability by Mark Kac, a well-known mathematician, presumes a familiarity with Lebesgue's theory of measure and integration, the elementary theory of Fourier integrals, and the rudiments of number theory. Readers may then follow Dr. Kac's attempt "to rescue statistical independence from the fate of abstract oblivion by showing how in its simplest form it arises in various contexts cutting across different mathematical disciplines." The treatment begins with an examination of a formula of Vieta that extends to the notion of statistical independence. Subsequent chapters explore laws of large numbers and Émile Borel's concept of normal numbers; the normal law, as expressed by Abraham de Moivre and Andrey Markov's method; and number theoretic functions as well as the normal law in number theory. The final chapter ranges in scope from kinetic theory to continued fractions. All five chapters are enhanced by problems.
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