The book is comprised of 10 chapters. The first chapter introduces several computer number systems. Chapter 2 shows how to perform arithmetic operations using the number systems introduced in Chapter 1. The third chapter covers the way numbers are stored in computers, how the computer performs arithmetic on real numbers and integers, and how round-off errors are generated in computer programs. Chapter 4 details the use of algorithms and flowcharting as problem-solving tools for computer programming. Subsequent chapters focuses on specific mathematical topics such as algebra, sets, logic, Boolean algebra, matrices, graphing and linear programming, and statistics.

Students of computer programming will find the text very useful.

Inhalt

1 Number Systems
1.0 Introduction
1.1 Base Ten, or the Decimal System
1.2 Base Two, or the Binary System
1.3 Base Eight, or the Octal System
1.4 Base Sixteen, or the Hexadecimal System
1.5 Converting Decimal Numbers into Binary Numbers
1.6 Converting Decimal Numbers into Octal Numbers
1.7 Converting Decimal Numbers into Hexadecimal Numbers
1.8 Converting Binary Numbers into Hexadecimal Numbers
1.9 Converting Hexadecimal Numbers into Binary Numbers
1.10 Summary
Problem Set A
Problem Set B
Practice Exam
2 Arithmetic Operations
2.0 Introduction
2.1 Addition Tables
2.2 Addition in the Binary System
2.3 Addition in the Octal System
2.4 Addition in the Hexadecimal System
2.5 Subtraction in the Binary System
2.6 Subtraction in the Octal System
2.7 Subtraction in the Hexadecimal System
2.8 Summary
Problem Set A
Problem Set B
Practice Exam
3 Computer Arithmetic
3.0 Introduction
3.1 Integer Storage
3.2 Integer Arithmetic
3.3 Exponential Notation
3.4 Floating Point Storage
3.5 Floating Point Arithmetic
3.6 Round-off Errors
3.7 Summary
Problem Set A
Problem Set B
Practice Exam
4 Algorithms and Flowcharts
4.0 Introduction
4.1 Algorithms
4.2 Flowcharts
4.3 Decisions
4.4 Summary
Problem Set A
Problem Set B
Practice Exam
5 Selected Topics in Algebra
5.0 Introduction
5.1 Order of Operations
5.2 Evaluating Algebraic Expressions
5.3 Addition and Subtraction of Like Terms
5.4 Removing Parentheses by Using the Distributive Law
5.5 Solving Equations in One Unknown
5.6 Equations in Two Unknowns
5.7 Simultaneous Equations (Substitution Method)
5.8 Simultaneous Equations (Elimination by Addition)
5.9 Summary
Problem Set A
Problem Set B
Practice Exam
6 Sets
6.0 Introduction
6.1 Set Descriptions
6.2 The Empty Set and the Universal Set
6.3 Operations with Sets
6.4 Subsets
6.5 Venn Diagrams
6.6 Summary
Problem Set A
Problem Set B
Practice Exam
7 Logic
7.0 Introduction
7.1 Statements
7.2 Truth Tables
7.3 Expansion of Truth Tables
7.4 Computer Applications
7.5 Summary
Problem Set A
Problem Set B
Practice Exam
8 Boolean Algebra
8.0 Introduction
8.1 The Basis of Boolean Algebra
8.2 Simplifying Boolean Expressions
8.3 Veitch Diagrams
8.4 A Security System
8.5 A Final Comment on Simplifying Boolean Expressions
8.6 Switching Circuits
8.7 Summary
Problem Set A
Problem Set B
Practice Exam
9 Matrices
9.0 Introduction
9.1 Addition and Subtraction of Matrices
9.2 Multiplication by a Constant
9.3 Multiplication of Matrices
9.4 Row Reduction
9.5 Equations with Three Unknowns
9.6 Summary
Problem Set A
Problem Set B
Practice Exam
10 Graphing and Linear Programming
10.0 Introduction
10.1 Graph Paper
10.2 Tables
10.3 Systems of Equations
10.4 Introduction to Linear Inequalities
10.5 Systems of Inequalities
10.6 An Introduction to Linear Programming
10.7 Summary
Problem Set A
Problem Set B
Practice Exam
11 Statistics
11.0 Introduction
11.1 Collection of Data
11.2 Grouped Data
11.3 Measures of the Center (Averages)
11.4 Measure of Variation (Standard Deviation)
11.5 Probability
11.6 The Normal Probability Curve
11.7 Applied Problems
11.8 Summary
Problem Set A
Problem Set B
Practice Exam
Appendices
A Basic Programs
A.0 Introduction
A.1 BASE/BAS
A.2 CONVERT/BAS
A.3 UNIVAC/BAS
A.4 IBM/BAS
A.5 COMM/BAS
A.6 CAR/BAS
A.7 EQS/BAS
A.8 GAUSE/BAS
A.9 STAT/BAS
A.10 STATBAR/BAS
A.11 RNDNOR/BAS
A.12 SNT/BAS
B Tables
B.1 Addition
B.2 Powers of Two
B.3 Truth Tables
B.4 Normal Probability Table
C Glossary
D Answers to Problem Sets A and Practice Exams
Index