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Hyperbolic Functions

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May 1, 2024 3 minute read

Hyperbolic functions are a set of functions that are analogous to the trigonometric functions. They are defined in terms of the exponential function, and they have a number of properties that are similar to the properties of the trigonometric functions. Hyperbolic functions are used in a variety of applications, including calculus, physics, and engineering.

Historical Perspective and Different Notations

The hyperbolic functions were first introduced by Vincenzo Riccati in 1762 in order to simplify calculations with natural logarithms. The standard notations for the six hyperbolic functions in common use are:

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Reading list

We've selected 11 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Hyperbolic Functions.
(in German) provides a comprehensive treatment of hyperbolic functions, including their history, development, and applications in various fields such as mathematics, physics, and engineering.
Provides a comprehensive treatment of hyperbolic functions, including their history, development, and applications in various fields such as mathematics, physics, and engineering.
This classic work provides a comprehensive treatment of special functions, including hyperbolic functions. It is suitable for advanced undergraduate and graduate students in mathematics, physics, and engineering.
Provides a theoretical introduction to hyperbolic functions, including their definitions, properties, and applications. It good resource for students and professionals who need to understand hyperbolic functions for their work.
Provides an introduction to hyperbolic functions, including their definitions, properties, and applications in physics and engineering. It good resource for students and professionals who need to understand hyperbolic functions for their work.
Provides an overview of hyperbolic functions, including their definitions, properties, and applications. It good resource for students and professionals who need to understand hyperbolic functions for their work.
Provides a mathematical introduction to hyperbolic functions, including their definitions, properties, and applications. It good resource for students and professionals who need to understand hyperbolic functions for their work.
Provides an introduction to hyperbolic functions, including their definitions, properties, and applications. It good resource for students and professionals who need to understand hyperbolic functions for their work.
Provides an introduction to special functions, including hyperbolic functions. It good resource for students and professionals who need to understand special functions for their work.
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