databases today use the Boolean logic as the basics of querying databases. Many computer users imagine that Boolean logic was introduced close to the time when computers were invent. In fact, this genius idea was created by man named George Boole a century before computers were used. It is very helpful to understand the background and theory behind the Boolean logic, because this logic is pragmatic of today’s computer science and information technology “world”. George Boole was an English mathematician…
average person. According to Wikipedia (2016), “a computer is a device that can be instructed to carry out an arbitrary set of arithmetic or logical operations automatically.” I will be discussing the mathematical theories behind computers, a timeline of the history of computers, the advantages and disadvantages of computers, and the future of computers. Mathematical Theories behind Computers: According to the definition of computers, computers require a mathematical system that is often called…
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 2 2.1 2.2 2.3 2.4 2.5 2.6 Basic Structures: Sets, Functions, Sequences, Sums, and Matrices . 115 Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 Set Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 Functions…