Topics in Contemporary Mathematics

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  • Edition: 9th
  • Format: Hardcover
  • Copyright: 2007-01-02
  • Publisher: Brooks Cole
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Written for the Math for Liberal Arts course, Topics in Contemporary Mathematics helps students see math at work in the world by presenting problem solving in purposeful and meaningful contexts. Many of the problems in the text demonstrate how math relates to subjects--such as sociology, psychology, business, and technology--that generally interest students.

Table of Contents

Problem Solving
Inductive Reasoning
Estimation: A Problem Solving Tool
Graph Interpretation: A Problem-Solving Tool
Sets: A Problem-Solving Tool
Set Operations
Venn Diagrams
The Number of Elements in a Set: A Problem-Solving Tool
Infinite Sets
Truth Tables: A Problem-Solving Tool
The Conditional and the Biconditional
Variations of the Conditional and Implications
Euler Diagrams: A Problem-Solving Tool
Truth Tables and Validity Arguments Online Only
Switching Networks: A Problem-Solving Tool
Numeration Systems
Egyptian, Babylonian, and Roman Numeration Systems
The Hindu-Arabic (Decimal) System
Number Systems with Bases Other Than 10
Binary Arithmetic
Octal and Hexadecimal Arithmetic
Number Theory and the Real Numbers
Number Theory: Primes and Composites
Whole Numbers, Integers, and Order of Operations
The Rational Numbers
Decimals, Scientific Notation, and Significant Digits
Rationals as Decimals: Percents
Real Numbers, Square Roots, and Decimal Representation
Number Sequences
Equations, Inequalities, and Problem Solving
Solutions of First-Degree Sentences
Graphs of Algebraic Sentences
Sentences Involving Absolute Values
Quadratic Equations
Modeling and Problem Solving
Ratio, Proportion, and Variation
Functions and Graphs
Graphing Relations and Functions
Linear Functions, Relations, and Applications
Slopes and Equations of a Line
Quadratic Functions and Their Graphs
Exponential and Logarithmic Functions
Two Linear Equations in Two Variables
Linear Inequalities Online Only
Linear Programming
Points, Lines, Planes, and Angles
Triangles and Other Polygons
Perimeter and Circumfrence
Area Measure and the Pythagorean Theorem
Volume and Surface Area
Networks, Non-Euclidean Geometry, and Topology Online Only
Right Triangle Trigonometry Online Only
Chaos and Fractals
Mathematical Systems and Matrices
Matrix Operations
Solving Systems of Linear Equations with Matrices
Clock and Modular Arithmetic
Abstract Mathematical Systems: Groups and Fields
Game Theory
Counting Techniques
The Sequential Counting Principle (SCP): A Problem-Solving Tool
Miscellaneous Counting Methods
Sample Spaces and Probability
Counting Techniques and Probability
Computation of Probability
Conditional Probability
Independent Events
Odds and Mathematical Expectation
Sampling and Frequency Distribution
Measures of Central Tendency: The Mean, Median, and Mode
Measures of Depression: The Range and Standard Deviation
The Normal Dsitribution: A Problem Solving Tool
Statistical Graphs: A Problem-Solving Tool
Making Predictions: Linear Regression
Scattergrams and Correlation
Your Money and Your Math
Interest, Taxes, and Discounts
Credit Cards and Consumer Credit
Annual Percentage Rate (APR) and the Rules of 78
Buying a House
Investing in Stocks, Bonds, and Mutual Funds Online Only
Voting and Apportionment
Voting Systems
Voting Objections
Apportionment Methods
Apportionment Objections Online Only
Graph Theory
Introduction to Graph Theory
Euler Paths and Euler Circuits
Hamilton Paths and Hamilton Circuits
Trees Online Only: Appendix
The Metric System
Metric Units of Measurement
Convert If You Must
Table of Contents provided by Publisher. All Rights Reserved.

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