The Mathematical Monthly, Vol. 2 (Classic Reprint)

John D. Runkle

ISBN 10: 1332532616 ISBN 13: 9781332532612

Published by Forgotten Books, 2018

Language: English

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Print on Demand. This book establishes a theorem in the Theory of Numbers that relies on a Prime Seventh, an idea that has eluded theorists for over a century. The author, a living authority on Just Intonation, argues that the Prime Seventh belongs in the musical system, and its ratios not only exist in nature, but have been in constant use in common music for centuries. Beyond proving this theorem, the author introduces other diatonic scales, explains how the Prime Seventh defines and completes simpler ratios, explores the possibilities of new scales, and gives examples of well-known works to demonstrate how they use the Prime Seventh. This book is sure to be a valuable asset for theorists, educators, and composers alike. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

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Bibliographic Details

Title

The Mathematical Monthly, Vol. 2 (Classic Reprint)

Publisher

Forgotten Books

Publication Date

2018

Language

English

ISBN 10

1332532616

ISBN 13

9781332532612

Binding

Paperback

Condition

New

Book Type

print-on-demand item

Seller catalogs

Calculus

About this title

Synopsis

Explore a window into 19th-century mathematics that blends problem solving, essays, and scholarly notes from a leading mathematical monthly.

This volume collects prize problems, judge reports, and a rich mix of discussions on geometry, algebra, astronomy, and analysis, presented in accessible language for students and enthusiasts alike.

Delve into:

Prize problems and their official solutions, plus judges’ reports and community solutions
Articles on curves, trigonometry, and the foundations of geometry
Editorial notices, mathematical correspondence, and historical glimpses of early periodicals

What you’ll experience:

A curated snapshot of mathematical progress and pedagogy from 1860
Practical examples, problem-solving techniques, and annotated tables
Connections between classic topics and modern methods through thoughtful commentary

Ideal for readers of historical math, math education, and anyone curious about how mathematical communities shared ideas long before the digital era.

"About this title" may belong to another edition of this title.

Store Description

Forgotten Books? Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.

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