
Algebra and Trigonometry: A View of the World Around Us, 1/e
David Wells, Penn State UniversityNew Kensington
Lynn Tilson, Penn State UniversityUniversity Park
Published July, 1997 by Prentice Hall Engineering/Science/Mathematics
Copyright 1998, 534 pp.
Cloth
ISBN 0137125151

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Algebra and TrigonometryMathematics
Algebra/Trig with Graphing CalculatorsMathematics

This text places mathematics into a realworld setting. Concepts are
developed through the "Rule of Four" (numeric, analytic, graphic, and
verbal). Graphing utilities are integrated as a tool while the focus is on
the mathematics.
Establishes a connection between abstract mathematical
concepts and the physical world through sections titled
Mathematical Looking Glasses. The sections are designed to deepen
understanding by introducing mathematical ideas in a familiar physical
context.
Provides analytical, graphical, numerical, and verbal approaches
to all major topics. Students who find one particular approach to a topic
most natural can use that approach to enhance their understanding of the
other three.
Includes regular use of Polya's problem solving strategies. By
frequently identifying Polya strategies used in the exposition, the text
provides students with a large number of examples of how each strategy
can be used effectively.
Incorporates the use of graphing utilities where appropriate
as well as discussions of the advantages and limitations of technology.
Identifies exercises according to purpose, allowing both
instructors and students to see what the objective of an exercise is. Among
these identifiers are:
Creating Models.
Interpreting Mathematics.
Making Observations.
Foreshadows important calculus concepts like: linear
approximations, average rate of change, parametric equations, and implicit
functions. This helps to smooth the transition from algebra to calculus for
students who will go on to study calculus.
Exercises are place strategically within each section increasing
the likelihood that students will read the sections rather than skipping
immediately to the exercise sets at the end.
Contains an extensive review of basic algebra in an appendix. This
arrangement allows instructors to assign review exercises at appropriate
time without interrupting the flow of current material.
Integrates mathematical history into the body of the text.
Written in a style that is studentfriendly and conversational.
1. Modeling and Problem Solving.
2. Functions.
3. Linear Functions.
4. Linear Systems.
5. Quadratic Functions.
6. Quadratic Relations.
7. Polynomial Functions.
8. Rational Functions.
9. Exponential and Logarithmic Functions.
10. Trigonometric Functions.
11. Trigonometric Functions as Analytical Tools.
12. Trigonometric Functions as Graphing Tools.
Appendix A: Basic Algebra References.
Appendix B: Tips for Graphing Functions with a Calculator.
Answers to OddNumbered Exercises.
Index.
