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Generalized Trigonometric and Hyperbolic Functions

by Ronald E. Mickens

Crc Press

Hardcover 194 pages English Jan 14, 2019

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Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions. Previous efforts have started with integral representations for the inverse generalized sine functions, followed by the construction of the associated cosine functions, and from this, various properties of the generalized trigonometric functions are derived. However, the results contained in this book are based on the application of both geometrical phase space and dynamical systems methodologies.Features Clear, direct construction of a new set of generalized trigonometric and hyperbolic functions Presentation of why x2+y2 = 1, and related expressions, may be interpreted in three distinct ways All the constructions, proofs, and derivations can be readily followed and understood by students, researchers, and professionals in the natural and mathematical sciences
Author:
Ronald E. Mickens
Publisher:
Crc Press
Publication Date:
Jan 14, 2019
Number of pages:
194 pages
Language:
English
Binding:
Hardcover
ISBN-10:
1138333018
ISBN-13:
9781138333017