Interval Arithmetic
Interval Arithmetic is a scholarly work, published in 2013 in ''Lecture Notes in Mathematics''. The main subjects of the publication include logarithm, algebra over a field, arbitrary-precision arithmetic, arithmetic, trigonometric function, division, exponentiation, pure mathematics, saturation arithmetic, hyperbolic function, discrete mathematics, arithmetic function, glossary of graph theory terms, exponential function, mathematics, floating point, elementary function, and Multiplication. In this chapter the semantic interval extensions of the simplest elementary functions: the arithmetic operators (addition, multiplication, division), logarithm, exponential functions (including the hyperbolic functions), power function, and the trigonometric functions and their inverses, are considered, together with their most important properties and their arithmetic implementations.