Statistical Independence in Probability, Analysis & Number Theory (Dover Books on Mathematics) - Softcover

Kac, Mark

Softcover

ISBN 10: 0486821587 ISBN 13: 9780486821580

Verlag: Dover Publications Inc., 2018

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Mark Kac (1914–1984) was born in Poland and came to the United States in the 1930s. He taught at Cornell and later served on the faculties of Rockefeller University in New York and the University of Southern California. His main focus was probability theory, and Dover also publishes his Mathematics and Logic, co-written with S. M. Ulam.

Details zur Ausgabe

• Verlag: Dover Publications Inc.
• Erscheinungsdatum: 2018
• Sprache: Englisch
• ISBN 10: 0486821587
• ISBN 13: 9780486821580
• Einband: Taschenbuch
• Anzahl der Seiten: 94
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italien