SKU: 36403763884

Statistical Independence in Probability, Analysis and Number Theory

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Statistical Independence in Probability, Analysis and Number TheoryThis 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

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 mile 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.

Binding Type: Paperback
Publisher: Dover Publications
Published: 08/15/2018
ISBN: 9780486821580
Pages: 112
Weight: 0.26lbs
Size: 8.00h x 5.00w x 0.30d
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SKU: 36403763884

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Waddler
Dallas, US
★★★★★ 5
Great Story about Native Americans before Europeans
Format: Paperback
I read this book with my kids (11,8) as part of our unit on Native Americans before colonization. They both really enjoyed it. It helped to humanize history for them and show them that although the cultural practices were different, the characters experienced some of the same feelings, relationship challenges, and personal struggles and triumphs that we experience today.
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Reviewed in the United States on October 31, 2022
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Yam
Phoenix, US
★★★★★ 5
Wonderful book about pre-European North America
Format: Paperback
This is a great book. There's a massive shortage of children's books written by Natives, especially ones that give a picture of pre-European America, and if you've noticed that, THIS IS THE BOOK YOU'RE LOOKING FOR to fill that hole in your home school curriculum/child's library. It's a "boy book," but my seven year old girl got through it without any complaints except that she wanted me to read ahead so I could tell her if anything scary happened. I would say that the plot is a little slow, the main story pauses a lot for background information or traditional stories. But that's not really a complaint, I don't think it's even worth taking off one star. Almost anything by Joseph Bruchac is worth your money, and this one is no exception.
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Reviewed in the United States on May 31, 2020
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lightninglesley
Cuba, US
★★★★★ 5
Sweet Story
Format: Hardcover
Adorable and funny, very sweet ending. If you like the other "are the worst" books, this one will fit right in.
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Reviewed in the United States on May 13, 2026
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deborah gaspari
Los Angeles, US
★★★★★ 5
Good book
Format: Hardcover
7 y/o grandson loved this story This book is part of a series and funny
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Reviewed in the United States on April 1, 2026
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Amazon Customer
Belleville, US
★★★★★ 5
Great book!
Format: Hardcover
My kids love this book. It's not a super long book but long enough to give a fun storyline. Puts a fun spin on cupid.
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Reviewed in the United States on February 24, 2026

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