Essentials of College Mathematics for Business, Economics, Life Sciences and Social Sciences, 3/e
Raymond A. Barnett, (Emeritus) Merritt College
Michael R. Ziegler, Marquette University
Published August, 1994 by Prentice Hall Engineering/Science/Mathematics
Copyright 1995, 745 pp.
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Mathematics for Business-Mathematics
The latest addition to the Barnett & Ziegler's acclaimed College Mathematics
Series For Business, Economics, Life Sciences, and Social Sciences,
this text offers an outstanding algebra review, detailed coverage
of finite mathematics and sound treatment of both differential
and integral calculus. This edition offers thorough coverage of the
graphing calculator and computer through optional exercises and supplements.
the largest, most varied selection of applications available
will convince even the most skeptical student that mathematics is
over 300 worked examples are included in the text, presented
in Barnett & Ziegler's trademark example-solution-matched problem
format to encourage active learning.
includes over 3,800 carefully selected and accurate problems
divided into A,B, and C levels of difficulty within each exercise
carefully selected and organized topics are structured to
provide the instructor with maximum flexibility in selection of course
material, with a Chapter Dependency Chart included in the Preface.
added optional graphics calculator and computer exercises give the
student excellent hands-on practice.
- a thorough introduction to the simplex method for solving
linear programming problems emphasizes the relationship between the
graphical and algebraic methods.
- limits are introduced in an intuitive manner with an
emphasis on graphical interpretations.
- defines the definite integral in terms of antiderivatives
and area function. Development of properties of the definite integral
and their relationship to Riemann sums culminates with the fundamental
theorem of calculus, providing a mathematically sound treatment that
proceeds to applications of the definite integral as quickly as possible.
- graphing techniques are thoroughly covered, and students
are provided with a strong set of tools to use in graphing functions.
revised topical coverage:
- the review of basic set theory has been moved up to chapter
one from the appendix, providing a strong grounding in material that
is used throughout the book, extensively in chapters 7 and 8.
- expanded coverage of counting techniquesnow including
sets and Venn diagramsis presented in two sections as opposed
- rewritten and expanded section on factoring polynomials
now includes applications of the quadratic formula to factoring second-degree
- material on inverse matrices and systems of equations
is now presented in two sections.
1. Basic Algebraic Operations.
2. Equations, Graphs, and Functions.
3. Exponential and Logarithmic Functions.
II. FINITE MATHEMATICS.
4. Mathematics of Finance.
5. Systems of Linear Equations; Matrices.
6. Linear Inequalities and Linear Programming.
8. Additional Topics in Probability.
9. The Derivative.
10. Additional Derivative Topics.
Appendix A: Special Topics.
Appendix B: Tables.