A brief descriptive title is given with each example that is not an illustrative example. This gives an easy reference for the example, particularly when reviewing the contents of the section. Examples involving applications now describe the area of application explicitly.
Throughout the text, there are practice exercises in the margin. They are included so that a student is more actively involved in the learning process and can check his or her understanding of the material to that point in the section. They can also be used for classroom exercises. The answers to these exercises are given at the end of the exercise set for the section.
Each chapter introduction illustrates specific examples of how the development of technology has been related to the development of mathematics. These introductions show that past discoveries in technology led to some of the methods in mathematics, whereas in other cases mathematical topics already known were later very useful in bringing about advances in technology.
Special Explanatory Comments
Throughout the book, special explanatory comments in colour have been used in the examples to emphasise and clarify certain important points. Arrows are often used to indicate clearly the part of the example to which reference is made.
Throughout the book, important formulas are set off and displayed so that they can be easily referenced.
Exercises Directly Referenced to Text Examples
The first few exercises in most of the text sections are referenced directly to a specific example of the section. These exercises are worded so that it is necessary for the student to refer to the example in order to complete the required solution. In this way, the student should be able to review and understand the text material better before attempting to solve the exercises that follow.
There are more than 400 writing exercises throughout the book (at least 8 in each chapter) that require at least a sentence or two of explanation as part of the answer. These are noted by a pencil icon next to the exercise number.
Key Formulas, Review Exercises, and Practice Tests
At the end of each chapter, all important formulas and equations are listed together for easy reference. Each chapter is also followed by a set of review exercises that covers all the material in the chapter. Following the chapter equations and review exercises is a chapter practice test that students can use to check their understanding of the material. Solutions to all practice test problems are provided in the back of the book.
Examples and exercises illustrate the application of mathematics in all fields of technology. Many relate to modern technology such as computer design, electronics, solar energy, lasers, fibre optics, the environment, and space technology. Others relate to technologies such as aeronautics, architecture, automotive, business, chemical, civil, construction, energy, environmental, fire science, machine, medical, meteorology, navigation, police, refrigeration, seismology, and wastewater. A special “Index of Applications” is included near the end of the book.
Throughout the text, some margin notes briefly point out relevant historical events in mathematics and technology. Other margin notes are used to make specific comments related to the text material. Also, where appropriate, equations from earlier material are shown for reference in the margin.
Answers to Exercises
The answers to all odd-numbered exercises (except the end-of-chapter writing exercises) are given at the back of the book.
Flexibility of Material Coverage
The order of material coverage can be changed in many places, and certain sections may be omitted without loss of continuity of coverage. Users of earlier editions have indicated the successful use of numerous variations in coverage. Any changes will depend on the type of course and completeness required.