Items related to Hyperbolic Functions (Classic Reprint)

Hyperbolic Functions (Classic Reprint) - Hardcover

James McMahon

 
9780364069615: Hyperbolic Functions (Classic Reprint)

Synopsis

Explore the world of hyperbolic functions and their real‑world applications.

This concise, rigorous treatment introduces hyperbolic trigonometry from its geometric roots to its modern complex‑variable form, connecting theory to practical use in physics and engineering.

This edition presents a clear path for students and readers with a math background, featuring definitions, addition theorems, derivatives, expansions, and exponential expressions. It also offers historical context, charts, and exploration of related functions, including the gudermannian and anti‑functions, with emphasis on how these ideas mirror circular counterparts.
  • Foundations: how hyperbolic functions arise, with sector and conic geometry as a guide.
  • Key results: addition theorems, derivatives, and expansion formulas tied to concrete calculations.
  • Complex view: links between hyperbolic and circular functions, and how complex arguments behave.
  • Applications: illustrations from physics and engineering, plus practical numerical tools and tables.
Ideal for readers of mathematical texts and courses who want a solid, applied introduction to hyperbolic functions and their broader context in analysis and geometry.

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