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Mathematical Thinking and Quantitative Reasoning

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ISBN-10: 0618777377

ISBN-13: 9780618777372

Edition: 2008

Authors: Richard N. Aufmann, Daniel K. Clegg, Joanne Lockwood, Richard D. Nation

List price: $293.95
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Designed for the non-traditional Liberal Arts course, Mathematical Thinking and Quantitative Reasoning focuses on practical topics that students need to learn in order to be better quantitative thinkers and decision-makers. The author team's approach emphasizes collaborative learning and critical thinking while presenting problem solving in purposeful and meaningful contexts. While this text is more concise than the author team's Mathematical Excursions ( 2007), it contains many of the same features and learning techniques, such as the proven Aufmann Interactive Method. An extensive technology package provides instructors and students with a comprehensive set of support tools.
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Book details

List price: $293.95
Copyright year: 2008
Publisher: Brooks/Cole
Publication date: 1/12/2007
Binding: Hardcover
Pages: 832
Size: 8.50" wide x 10.00" long x 1.25" tall
Weight: 3.938
Language: English

Richard Nation is Professor of Mathematics at Palomar College. He is the co-author of several Aufmann titles.

Problem Solving
Inductive and Deductive Reasoning
Investigation: The Game of Sprouts
Problem-Solving Strategies
Investigation: Routes on a Probability Demonstrator
Problem Solving Using Sets
Investigation: Voting Systems
Chapter Summary
Review Exercises
Chapter Test
Logic and Its Applications
Logic Statements and Quantifiers
Investigation: Switching Networks
Truth Tables and Applications
Investigation: Switching Networks-Part II
The Conditional and Related Statements
Investigation: Logic Gates
Investigation: Fallacies
Euler Diagrams
Investigation: Using Logic to Solve Puzzles
Chapter Summary
Review Exercises
Chapter Test
Algebraic Models
First-Degree Equations and Formulas
Investigation: Body Mass Index
Rate, Ratio, and Proportion
Investigation: Earned Run Average
Investigation: Federal Income Tax
Direct and Inverse Variation
Investigation: Gears and Pulleys
Chapter Summary
Review Exercises
Chapter Test
Measurement and Geometric Models
The Metric System
Investigation: Electrical Energy
The U.S. Customary System
Investigation: Energy
Basic Concepts of Euclidean Geometry
Investigation: Preparing a Circle Graph
Perimeter and Area of Plane Figures
Investigation: Slicing Polygons into Triangles
Properties of Triangles
Investigation: Topology
Volume and Surface Area
Investigation: Water Displacement
Introduction to Trigonometry
Investigation: Approximating the Values of Trigonometric Functions
Chapter Summary
Review Exercises
Chapter Test
Linear Models
Rectangular Coordinates and Functions
Investigation: Dilations of a Geometric Figure
Properties of Linear Functions
Investigation: Negative Velocity
Finding Linear Models
Investigation: A Linear Business Model
Linear Regression and Correlation
Investigation: An Application of Linear Regression
Chapter Summary
Review Exercises
Chapter Test
Nonlinear Models
Introduction to Nonlinear Functions
Investigation: Reflective Properties of a Parabola
Exponential Functions
Investigation: Chess and Exponential Functions
Logarithmic Functions
Investigation: Benford's Law
Chapter Summary
Review Exercises
Chapter Test
The Mathematics of Finance
Simple Interest
Investigation: Day-of-the-Year Table
Compound Interest
Investigation: Consumer Price index
Credit Cards and Consumer Loans
Investigation: Leasing Versus Buying a Car
Stocks, Bonds, and Mutual Funds
Investigation: Treasury Bills
Home Ownership
Investigation: Home Ownership Issues
Chapter Summary
Review Exercises
Chapter Test
Probability and Statistics
Counting Methods
Investigation: Choosing Numbers in Keno
Introduction to Probability
Investigation: Complement of an Event and Sharing Birthdays
Measures of Central Tendency
Investigation: Linear Interpolation and Animation
Measures of Dispersion
Investigation: A Geometric View of Variance and Standard Deviation
Measures of Relative Position
Investigation: Stem-and-Leaf Diagrams
Normal Distributions
Investigation: Cut-Off Scores
Inferential Statistics
Investigation: A Fair Die?
Chapter Summary
Review Exercises
Chapter Test
Apportionment and Voting
Introduction to Apportionment
Investigation: Apportioning the 1790 House of Representatives
Introduction to Voting
Investigation: Variations of the Borda Count Method
Weighted Voting Systems
Investigation: Blocking Coalitions and the Banzhaf Power Index
Chapter Summary
Review Exercises
Chapter Test
The Mathematics of Graphs
Traveling Roads and Visiting Cities
Investigation: Pen-Tracing Puzzles
Efficient Routes
Investigation: Extending the Greedy Algorithm
Map Coloring and Graphs
Investigation: Modeling Traffic Lights with Graphs
Chapter Summary
Review Exercises
Chapter Test
Solutions to Check Your Progress Problems
Answers to Selected Exercises
Web Appendix: Algebra Review (Available only online at this textbook's Online Study Center at: