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.
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9780282992293
Anzahl: 15 verfügbar
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Paperback. Zustand: New. 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 âtriangular, circular, and hyperbolicââ âthe 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. print-on-demand item. Bestandsnummer des Verkäufers 9780282992293_0
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