Appendix A Mathematics

A.1 Hyperbolic Functions

Given here is a list of definitions of hyperbolic functions.

A.1equation
A.2equation
A.3equation
A.4equation
A.5equation

Figure A.1 shows the first three functions graphically.

Image described by caption and surrounding text.

Figure A.1 Hyperbolic functions, y = sinh x, y = cosh x, and y = tanh x.

sinh x and tanh x are odd functions of x, whereas cosh x is an even function.

The hyperbolic functions satisfy relationships similar to those of trigonometric functions. Some of the relationships are listed here.

A.6equation
A.7equation

Double argument formulas are also similar to those in trigonometry.

A.8equation
A.9

Inverse functions are different from ...

Get Statistical Thermodynamics now with O’Reilly online learning.

O’Reilly members experience live online training, plus books, videos, and digital content from 200+ publishers.