Fundamentals of Mathematics, 8/e
William M. Setek, Monroe Community College
Michael A. Gallo, Florida Institute of Technology
Published October, 1998 by Prentice Hall Engineering/Science/Mathematics
Copyright 1999, 726 pp.
Sign up for future
mailings on this subject.
See other books about:
Liberal Arts Mathematics-Mathematics
For courses in Liberal Arts Mathematics.
This text succeeds at what other texts only attempt: it
demystifies mathematics. It presents the fundamentals of a variety
of mathematical disciplines in a straightforward, easy-to-understand
manner. The emphasis is on developing skills and confidence in mathematics
for students with a wide range of abilities. The only prerequisite
is a working knowledge of arithmetic.
NEWExpanded problem-solving coverage (Ch.
NEWNew introduction to Euler Circles.
- The more students understand the logic of problem solving,
the better they will be at applying mathematical principles to real
NEWNew material on logic
- By discussing both Euler and Venn diagrams the text introduces
students to both major camps of organizational logic.
NEWExpanded chapter on probability includes
more real life problems.
- Text explores both contemporary and traditional approaches
to give professors and students added flexibility.
NEWNew discussions on statistics (Ch.
5)Introduces stem-and-leaf displays and a new section on uses
and misuses of statistics.
NEWBroadened introduction to algebra (Ch.
9)Features an expanded introduction to the chapter, new vocabulary
terms and new exercises.
NEWUpdated chapter on consumer mathematicsUses
up to date interest rates, dates, prices, etc....
Self-contained organizationProvides chapters
designed to be independent of one another.
- The text is more relevant when key components to problems
and examples are consistent with actual real life values.
Polya's 4-step problem-solving frameworkOffers
introductions to this and several other techniques and strategies
that facilitate the problem-solving process.
- Offers instructors the flexibility to cover topics in
any order they wish.
Solid instructional supportBegins chapters
with learning objectives and a list of the symbols that will be introduced
in that chapter, then concludes with a summary, vocabulary check,
review exercises, and a chapter quiz.
- Eases students through guidelines and examples that develop
the sound problem-solving skills essential for success in math.
Clear, accessible approachPresents material
in a thorough, patient manner with over 600 fully worked-out examples
and systematic step-by-step solutions.
- Offers students frequent opportunities to reinforce,
challenge, and apply their understanding of newly acquired concepts
Historical Notes and Notes of InterestProvides
insights into the development of mathematics and additional tidbits
of noteworthy information.
- Encourages students to participate actively and learn
mathematics by working through examples and problems.
WWW applicationsProvides web-based online exercises
in each chapter denoted by a unique icon for easy identification.
- Enhances student learning by placing principles and practices
within relevant contexts, allowing students to make connections with
personalities and events in mathematics.
Team work projectsDevotes a full page of each
chapter to collaborative learning.
- Extends understanding beyond the classroom and past the
printed page, engaging students in relevant assignments using today's
- Develops the collaborative, team-based problem-solving
skills students will need throughout their academic and professional
(NOTE: Each chapter ends with a Summary, Vocabulary Check,
Review Exercises, and Chapter Quiz.)
1. Fundamentals of Problem Solving.
Introduction. Problem-Solving Tools. Understanding Symbols
and Context. Decisions and Pattern Recognition. Inductive Reasoning.
Introduction. Notation and Description. Subsets. Set Operations.
Pictures of Sets (Venn Diagrams). An Application of Sets and Venn
Diagrams. Cartesian Products.
Introduction. Statements and Symbols. Dominance of Connectives.
Truth Tables. More Truth Tables Conditional and Biconditional
Statements. De Morgan's Law and Equivalent Statements. The Conditional
(Optional). Valid Arguments. Picturing Statements with Venn Diagrams
(Optional). Valid Arguments with Venn Diagrams (Optional). Switching
Introduction. Definition of Probability. Sample Spaces.
Tree Diagrams. Odds and Expectation. Compound Probability. Counting,
Ordered Arrangements, and Permutations (Optional). 4.8 Combinations
(Optional). More Probability (Optional).
Introduction. Measures of Central Tendency. Measures of
Dispersion. Measures of Position (Percentiles). Pictures of Data.
The Normal Curve. Uses and Misuses of Statistics.
6. Mathematical Systems.
Introduction. Clock Arithmetic. More New Systems. Modular
Systems. Mathematical Systems Without Numbers. Axiomatic Systems.
7. Systems of Numeration.
Introduction. Simple Grouping Systems. Multiplicative Grouping
Systems. Place-Value Systems. Numeration in Bases Other Than 10. Base
5 Arithmetic. Binary Notation and Other Bases.
8. Sets of Numbers and Their Structure.
Introduction. Natural Numbers Primes and Composites.
Greatest Common Divisor and Least Common Multiple. Integers. Rational
Numbers. Rational Numbers and Decimals. Irrational Numbers and the
Set of Real Numbers. Scientific Notation (Optional).
9. An Introduction to Algebra.
Introduction. Open Sentences and Their Graphs. Algebraic
Notation. More Open Sentences. Problem Solving. Linear Equations in
Two Variables. Graphing Equations. Inequalities in Two Variables.
10. Selected Topics in Algebra.
Introduction. The Slope of a Line. The Equation of a Straight
Line. Graphing y = ax^2 + bx + c. Linear Programming.
11. An Introduction to Geometry.
Introduction. Points and Lines. Planes. Angles. Polygons.
Perimeter and Area. Solids. Congruent and Similar Triangles. Networks.
12. Consumer Mathematics.
Introduction. Ratio and Proportion. Percents, Decimals,
and Fractions. Markups and Markdowns. Simple Interest. Compound Interest.
Effective Rate of Interest. Life Insurance. Installment Buying. Mortgages.
13. An Introduction to the Metric System.
Introduction. History of Systems of Measurements. Length
and Area. Volume. Mass (Weight). Temperature.
Introduction to Computers. History of Computers. How a Computer
System Works. Using BASIC. More BASIC Statements.
Answers to Odd-Numbered Exercises, All Review Exercises,
and Chapter Quizzes.