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Computers appear in almost all fields of human endeavor, wherever data are collected and analyzed. Furthermore, with the development of inexpensive microcomputers, more and more individuals are buying and operating their own computer. For these reasons, certain mathematical topics related to the computer and information sciences—in particular, the binary number system, logic circuits, graph theory, linear systems, probability and statistics—are now being more widely studied. This book is designed to present these and associated topics in an elementary yet comprehensive form.
The material has been divided into fourteen chapters, so written that they are mostly independent of one another. Therefore one can change the order of many chapters, or can even omit certain chapters, without difficulty and without loss of continuity. The only prerequisite for most of the book is a minimal amount of high school mathematics.
Binary number system
Computer codes
Computer arithmetic
Logic, truth tables
Algorithms, flowcharts, pseudocode programs
Sets and relations
Boolean algebra, logic gates
Simplification of logic circuits
Vectors, matrices, subscripted variables
Linear equations
Combinatorial analysis
Probability
Statistics random variables
Graphs, directed graphs, machines