People use mental calculation when computing tools are not available, when it is faster than other means of calculation (for example, conventional methods as taught in educational institutions), or in a competitive context. Mental calculation often involves the use of specific techniques devised for specific types of problems.
Many of these techniques take advantage of or rely on the decimal numeral system. Usually, the choice of radix determines what methods to use and also which calculations are easier to perform mentally. For example, multiplying or dividing by ten is an easy task when working in decimal (just move the decimal point), whereas multiplying or dividing by sixteen is not; however, the opposite is true when working in hexadecimal.
Number Sets
Algebra
Geometry
Trigonometry
Matrices and Determinants
Vectors
Analytic Geometry
Differential Calculus
Integral Calculus
Differential Equations
Series
Probability
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Book Name: 1300 Math Formulas
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