[Book Cover]

Precalculus, 1/e

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.
ISBN 0-13-716408-4

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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)

  • numeric interpretations are found in the body of the text (Table 2.1 and Section 3.3, example 6) (pp. 207)
problem solving framework questions—are 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 & 204)
graffix boxes throughout the text employ the graphics calculator (or computer graphics program) as an optional learning tool. (pp. 185)
  • 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)
Questions For Thought—conclude many exercise sets by extending the topics in the sections and requiring critical analyses and conclusions. (section 3.6, exercise set) (pp. 279)
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.
  • 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)
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)

Table of Contents
(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.
    6. Trigonometry.
    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.


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