An Arithmetical Theory of Certain Numerical Functions (Classic Reprint) - Softcover

Alexander, Samuel Temple

Softcover

ISBN 10: 1440036721 ISBN 13: 9781440036729

Publisher: Forgotten Books, 2018

Synopsis

Dive into a bold take on arithmetic that treats numbers as flexible, interrelated ideas. This work explores how numerical functions can be understood through multiple, simple interpretations.

The book develops an abstract view of arithmetic that mirrors familiar number systems while proposing a broader framework. It emphasizes methods over brute calculation, showing how a wide class of numerical functions can be analyzed with elegant, diagrammatic ideas and minimal arithmetic. Readers will see how a self-contained arithmetical theory can host several valid perspectives on arithmetic, all grounded in precise definitions and theorems.

• Conceptions of numbers as dynamic and static perspectives, with clear parallels to traditional arithmetic


• Step-by-step definitions and theorems that build a coherent arithmetical framework


• Illustrative ideas about factorization, ideal forms, and the relation between operations


• Guidance on interpreting arithmetic in ways that extend beyond standard calculations

Ideal for readers who enjoy rigorous mathematical ideas presented with visual and conceptual clarity, without sacrificing accessibility.

About this title

About the Author

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."

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 1440036721
• ISBN 13: 9781440036729
• Binding: Paperback
• Number of pages: 52