An Arithmetical Theory Of Certain Numerical Functions (1915) - Softcover

Bell, Eric Temple

Softcover

ISBN 10: 1163927341 ISBN 13: 9781163927342

Verlag: Kessinger Publishing, 2010

Inhaltsangabe

""An Arithmetical Theory of Certain Numerical Functions"" is a book written by Eric Temple Bell and published in 1915. The book focuses on the study of certain numerical functions and their properties using arithmetical methods. The functions discussed in the book include the divisor function, the sum-of-divisors function, the Euler phi function, the Mertens function, and the Liouville function. The book begins with an introduction to the theory of numbers and the basic concepts of arithmetical functions. The author then delves into the properties of the divisor function and its relation to prime numbers. The sum-of-divisors function is then discussed, followed by the Euler phi function and its applications to number theory. The latter part of the book focuses on the Mertens function and the Liouville function. The Mertens function is used to study the distribution of prime numbers, while the Liouville function is used to study the properties of quadratic residues. The book concludes with a discussion on the Riemann hypothesis and its relation to the functions studied in the book. Overall, ""An Arithmetical Theory of Certain Numerical Functions"" is a comprehensive and detailed study of various numerical functions and their applications to number theory. It is a valuable resource for mathematicians and researchers interested in the field of number theory.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

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Reseña del editor

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!

Biografía del autor

Eric Temple Bell was born in 1883 in Aberdeen, Scotland. His early education was obtained in England. Coming to the United States in 1902, he entered Stanford University and took his A.B. degree in 1904. In 1908 he was teaching fellow at the University of Washington, where he took his A.M. degree in 1909. In 1911 he entered Columbia University, where he took his Ph.D. degree in 1912. He returned to the University of Washington as instructor in mathematics and became full professor in 1921. During the summers of 1924-28 he taught at the University of Chicago, and in 1926 (first half) at Harvard University, when he was appointed Professor of Mathematics at the California Institute of Technology.

Dr. Bell was a former President of the Mathematical Association of America, a former Vice President of the American Mathematical Society and of the American Association for the Advancement of Science. He was on the editorial staffs of the "Transactions of the American Mathematical Society," the "American Journal of Mathematics," and the "Journal of the Philosophy of Science." He belonged to The American Mathematical Society, the Mathematical Association of America, the Circolo Matematico di Palermo, the Calcutta Mathematical Society, Sigma Xi, and Phi Beta Kappa, and was a member of the National Academy of Sciences of the United States. He won the Bocher Prize of the American Mathematical Society for his research work. His twelve published books include "The Purple Sapphire" (1924), "Algebraic Arithmetic" (1927), "Debunking Science," and "Queen of the Sciences" (1931), "Numerology" (1933), and "The Search for Truth" (1934).

Dr. Bell died in December 1960, just before the publication ofhis latest book, "The Last Problem."

Details zur Ausgabe

• Verlag: Kessinger Publishing
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 1163927341
• ISBN 13: 9781163927342
• Einband: Tapa blanda
• Anzahl der Seiten: 48
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar