On the Definitions of the Trigonometric Functions (Classic Reprint) - Hardcover

Alexander Macfarlane

 
9780266610601: On the Definitions of the Trigonometric Functions (Classic Reprint)

Synopsis

This book explores the fascinating world of trigonometry, delving into its rich history and diverse applications across various fields. The author provides a systematic and comprehensive framework for understanding trigonometric functions, including the classic circular and hyperbolic functions, as well as more advanced concepts like elliptic and logarithmic functions. By examining the geometric, triangular, and analytical aspects of these functions, the book offers a holistic approach to trigonometry, making it accessible to readers from diverse backgrounds. The author's innovative notation unifies the treatment of trigonometric functions, revealing their underlying connections and generalizations. This approach not only simplifies complex calculations but also provides a deeper understanding of the subject's fundamental principles. The book's exploration of mixed curves, such as those combining circular and excircular segments, further expands the scope of trigonometric applications. Through its rigorous analysis and engaging presentation, this book not only serves as a valuable resource for students and practitioners of trigonometry but also contributes to the ongoing development of this essential mathematical field. Its insights shed new light on the power and versatility of trigonometric functions, inspiring further research and broadening our understanding of the mathematical world.

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