Mathematics for New Technologies

Don Hutchison / Mark Yannotta  
Total pages
May 2003
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Mathematics for New Technologies
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This text addresses the need for a new mathematics text for careers using digital technology. The material is brought to life through several applications including the mathematics of screen and printer displays. The course, which covers binary arithmetic to Boolean algebra, is emerging throughout the country and may fill a need at your school. This unique text teaches topics such as binary fractions, hexadecimal numbers, and Venn diagrams to students with only a beginning algebra background.


  • Practice Problems Computer math students require a large number of exercises in order to practice the material that they have just learned. These exercises actively engage students in the learning process and reinforce newly learned concepts and skills.
  • Bits of History Scattered throughout the text, Bits of History let students in on the background and the origins of the concepts they are currently learning. This feature helps students better understand the theories behind their actions.
  • Definition Boxes Important definitions are boxed and highlighted throughout each chapter to emphasize their importance to students and to make them easy to find for review purposes.
  • Elementary Logic More than any other text offered at this level, this text emphasizes the application of logic to programming and circuitry. Logic is part of the foundation of what the text refers to as its "Rosetta Stone." By the end of the course, students see that a logic circuit can be represented by a truth table, a Boolean expression, or a Venn diagram.
  • Ample opportunity for Review At the end of each chapter is a comprehensive review section. Starting with a chapter Summary, students are given the main concepts of the chapter. The Glossary is a comprehensive listing of key terms from throughout the chapter. Review Exercises require students to solve problems without the help of section references. Additionally challenging problems are highlighted by a triangle symbol around the exercise number. Cumulative Review Exercises gather various types of exercises from the preceding chapters to help students remember and retain what they are learning throughout the course.

Table of Contents

1. Computation.

An Introduction.

Exponents and Their Properties.

Calculator Functions.

Scientific Notation.

An Introduction to Statistics and Error Analysis.

Dimensional Analysis.

2. Binary Numbers.

The Binary System.

Base Two Arithmetic.

Two's Complement.

Binary Fractions.

Computer Memory and Quantitative Prefixes.

3. Octal and Hexadecimal Numbers.

The Octal System.

Hexadecimal Representation.

Base 16 Arithmetic.

Elements of Coding.

4. Sets and Algebra.

The Language of Sets.

Set Operators.

Venn Diagrams.

Propositions and Truth Tables.

Logical Operators and Internet Searches.

5. Boolean Circuits.

Equivalent Boolean Expressions.

Logic Circuits Part I - Switching Circuits.

Truth Tables and Disjunctive Normal Form.

Logic Circuits Part II - Gated Circuits.

Karnaugh Maps.

6. Graphs.

Color Sets.

Hexadecimal RGB Codes.

Cartesian and Monitor Coordinates.

Elements of Computer Animation.

Instructor Resources