On the Definitions of the Trigonometric Functions (Classic Reprint)

Alexander Macfarlane

ISBN 10: 0282992294 / ISBN 13: 9780282992293

Editore: Forgotten Books, 2018

Riguardo questo articolo

Print on Demand. This book delves into the fundamental definitions of trigonometric functions, challenging traditional understandings and presenting a unified framework for a more comprehensive analysis. The author explores the historical development of these functions, from their origins in ancient geometry to the more abstract definitions used in modern mathematical treatises. Through a rigorous examination of various definitionsââ â triangular, circular, and hyperbolicââ â the author proposes a new system that integrates these different perspectives. This system emphasizes the importance of area in defining trigonometric functions and introduces new concepts such as "trigonometric areas" and "complementary functions." The author's approach provides a deeper understanding of the relationships between trigonometric functions and their applications in various branches of mathematics. The book's insights are essential for anyone seeking a thorough understanding of trigonometry and its role in the broader field of mathematical analysis. 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.

Codice articolo 9780282992293_0

Dati bibliografici

• Titolo: On the Definitions of the Trigonometric Functions (Classic Reprint)
• Editore: Forgotten Books
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 0282992294
• ISBN 13: 9780282992293
• Rilegatura: Paperback
• Condizione: New
• Tipo di libro: print-on-demand item
• Cataloghi dei venditori:
  • Geometry

Descrizione articolo

Riassunto

Excerpt from On the Definitions of the Trigonometric Functions

I consider that the notation is a matter not of secondary, but of paramount importance. If the notation is arbitrary, it gives as no help in the further development of analysis; if on the other hand it is systematic and logically connected with the existing notation of analysis, it points the way to more general principles and results. I believe that this paper will show that my notation is systematic and logical.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.