Topics in Contemporary Mathematics

by Bello, Ignacio; Britton, Jack R.; Kaul, Anton

• ISBN13: 9780618775248
• ISBN10: 0618775242
• Edition: 9th
• Format: Hardcover
• Copyright: 2007-01-02
• Publisher: Brooks Cole

Summary

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

Sets: A Problem-Solving Tool

Set Operations

Venn Diagrams

The Number of Elements in a Set: A Problem-Solving Tool

Infinite Sets

Logic

Statements

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

Radicals

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

Geometry

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

Permutations

Combinations

Miscellaneous Counting Methods

Probability

Sample Spaces and Probability

Counting Techniques and Probability

Computation of Probability

Conditional Probability

Independent Events

Odds and Mathematical Expectation

Statictics

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.