Arthur Goodman, City University of New York, Queens College
Lewis Hirsch, Rutgers University, Livingston
Published January, 1994 by Prentice Hall Engineering/Science/Mathematics
Copyright 1994, 794 pp.
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Goodman and Hirsch blend the various topics and applications
of contemporary precalculus in this intuitive, yet mathematically
precise text. Graphical, algebraic and numeric perspectives are provided
offering a broad view of topics, their cohesiveness, and their usefulness.
provides an accessible, mathematically correct exposition.
Authors focus more often on understanding the concept rather than
just presenting rote procedures.
Different Perspectives boxes discuss both geometric
and algebraic interpretations of key concepts throughout the text.
(Section 3.1, pp. 180)
problem solving framework questionsare provided
along side the worked-out solutions to many examples. These questions
lead students through the critical thinking and problem solving process
so that they can apply these analysis skills to their own exercises
in the problem sets. (section 3.3, examples 2 and 3) (pges. 203 &
- numeric interpretations are found in the body of the
text (Table 2.1 and Section 3.3, example 6) (pp. 207)
graffix boxes throughout the text employ the graphics
calculator (or computer graphics program) as an optional learning
tool. (pp. 185)
Questions For Thoughtconclude many exercise sets
by extending the topics in the sections and requiring critical analyses
and conclusions. (section 3.6, exercise set) (pp. 279)
- students are more actively involved in their own learning
as they discover trends and make generalizations about important mathematical
concepts using graphing technology
- exercise sets provide students opportunities to explore
additional concepts using graphing technology (sections 3.1 and 3.2
and exercise set 3.6) (pges. 188, 200, & 240)
Application problems feature realistic situations
with real data from a wide variety of fields including health, biology,
physics, earth and environmental science, business, and economics.
(section 3.4, exercise set) (pp. 222)
Marginal questions and comments are included to enhance
exposition and examples.
Chapter Summaries include detailed learning objectives
referenced to each section and supported by extra examples with worked-
out solutions. These summaries are designed in an easy-to-read two-
column format. (pp. 197)
- questions and comments focus on what students should
be asking themselves as they examine material and examples
- these additional notes get students more actively involved
in the learning process as they read through the text (section 3.1,
examples 2, 4, 8, and 11) (pges. 178, 180, 184, & 187)
(NOTE: Each chapter concludes with a summary, review exercises
and a practice test.)
1. Algebra: The Fundamentals.
2. Functions and Graphs: Part I.
3. Functions and Graphs: Part II.
4. Polynomial, Rational and Radical Functions.
5. Exponential and Logarithmic Functions.
7. The Trigonometric Functions.
8. More Trigonometry and Its Applications.
9. Systems of Linear Equations and Inequalities.
10. Conic Sections and Nonlinear Systems.
11. Sequences, Series, and Related Topics.
Answers to Selected Exercises.