Hyperbolic Functions: A clear, practical path through hyperbolic trigonometry
This concise reference introduces the hyperbolic trigonometric functions and shows how they connect to the circular functions and the complex plane. Written for college readers and teachers, it blends theory with accessible applications and numerical tools.
The book explains how hyperbolic functions arise from sectors of hyperbolas, develops fundamental relations, and leads to addition formulas, derivatives, and expansions. It also highlights how exponential expressions link to both hyperbolic and circular cases, offering a versatile view of the subject.
- Foundational definitions and geometric intuition that apply to a wide range of readers
- Derivations, series, and conversion formulas that support both theory and calculation
- Connections to applications in physics and engineering, with practical numerical tools
- Clear paths from hyperbolic topics to the broader landscape of transcendental functions
Ideal for readers of introductory and intermediate mathematics, as well as instructors seeking a comprehensive, approachable treatment of hyperbolic functions.