Mathematics in Life, Society, & the World, 2/e
William Siebler, all of Oregon State University
Published October, 1999 by Prentice Hall Engineering/Science/Mathematics
Copyright 2000, 814 pp.
Sign up for future
mailings on this subject.
See other books about:
Liberal Arts Mathematics-Mathematics
For undergraduate courses in Liberal Arts Mathematics.
This contemporary approach to liberal arts math is especially
helpful to instructors who want to break away from traditional instruction
and move towards a more modern course that stresses rich
ideas and more visualization with less review. This text offers superb
pedagogy, an accessible writing style, and mathematical integrityand
is student-friendly. Its unique four-part organization presents liberal
arts students with sound, relevant mathematics and will leave them
with the (correct) impression that math is useful and affects their
lives in many positive ways.
NEWThe table of contents for the second
edition has been reorganized:
Part I: The Language of Mathematics, now includes one
comprehensive chapter to review key ideas and set the stage for the
Part II: Mathematics in Life, covers the basic mathematical
topics of statistics, probability, and consumer math that are essential
to being an informed and productive citizen in the 21st century.
Part III: Mathematics in Society, applies math to broader
topics such as game theory, management mathematics, and voting and
Part IV: Mathematics and the World, further expands the
discussion to consider critical thinking, elementary number theory,
and various applications of geometry that one encounters in the world.
NEWMathematical Structures and Methods
(Ch. 1)Lays down foundations upon which successive chapters
- This unique four-part organization provides a structural
framework and context in which to learn new concepts and understand
more concrete applications before moving on to more difficult, abstract
ideas. Ex. ___
Sections 1.1 (Sets) and 1.8 (Solving Equations) were expanded
and brought forward from Topics.
Sections 1.6 (The Concept of Functions) and 1.7 (Functions and
their Graphs) are new to this edition.
NEWThe coverage of Probability and Statistics
has been extensively revised and expanded.
- Ensures that students have a solid understanding of
the basics before moving on to more difficult concepts.
Chapter 2. Descriptive Statistics; teaches students to
organize data graphically and to interpret graphical representations
of data with a keen eye toward misleading pictures.
Chapter 3. Collecting and Interpreting Data; provides
an expanded background in sampling (new section 3.2) and to the measure
of central tendency (Section 3.3) and variability (Section 3.4).
Chapter 4. Inferential Statistics; is now covered in a
separate chapter which provides a clearer and better paced overview
of normal distributions and confidence intervals.
Chapter 5. Probability; the basic ideas of probability
are introduced in this self-contained chapter. Coverage of systematic
counting has been added in section 5.4.
NEWChapter 9, Voting and ApportionmentNow
includes a new Section 9.3, Weighted Voting Systems.
- The ability to read and interpret statistical information
with intelligence is essential to being an informed consumer in today's
world. These four well-paced chapters provide clean, thorough coverage
of the key ideas with many real-world applications to support and
ground the concepts.
Real ApplicationThe authors use real and real-seeming
data to motivate the mathematical concepts.
- Introduces students to the method of voting widely
practiced in business by stockholders (and by the Electoral Collage
in the selection of the U.S. Presidents) providing them with a more
complete understanding of systems of election. Ex. ___
Each chapter opens and concludes with a real-life example that
demonstrates how the content of the chapter is applied in the world.
Ex. Ch. 4
Each section is motivated by an introductory Initial Problem
that asks a question of interest that students will learn how to answer.
The problem is solved at the end of the section. Ex. Section 3.2,
Rich Variety of ProblemsOver 2500 problems
are organized into two-tiers. Contains standard, paired exercises
keyed to the section, and extended problems that encourage critical
thinking and greater use of analytical skills.
- Allows students to relate more easily to the math
concepts and underscores why the mastery of these skills and ideas
is beneficial to functioning effectively in the world. Ex. ___
The Human Side of MathematicsEach chapter
begins with historical information on various men and women who contributed
to the development of the mathematics discussed in that chapter. Additional
historical information and fun facts are integrated into
the book as marginal tidbits.
- Provides plenty of practice for the basic skills and
concepts and helps students develop a framework for problem solving.
- Familiarizes students with important historical figures
in the development of mathematics and the applications of that are
part of our daily vocabulary. Ex. Rene Descartes, George Gallup
I. THE LANGUAGE OF MATHEMATICS.
1. Mathematical Structures and Methods.
II. MATHEMATICS IN LIFE
2. Descriptive Statistics.
III. MATHEMATICS IN SOCIETY.
3. Collecting and Interpreting Data.
4. Inferential Statistics.
6. Consumer Mathematics.
7. Game Theory.
IV. MATHEMATICS IN THE WORLD.
8. Management Mathematics.
9. Voting and Apportionment.
10. Critical Thinking.
11. Elementary Number Theory.
13. Growth and Scaling.
The Metric System. Perimeter and Area. Surface Area and