Mathematical Excursion, Enhanced Edition

by Aufmann, Richard N.; Lockwood, Joanne; Nation, Richard D.; Clegg, Daniel K.

• ISBN13: 9780538734998
• ISBN10: 053873499X
• Edition: 2nd
• Format: Hardcover
• Copyright: 2009-07-09
• Publisher: Brooks Cole

Summary

By presenting problem solving in purposeful and meaningful contexts, MATHEMATICAL EXCURSIONS, 2/e, provides users in the Liberal Arts course with a glimpse into the nature of mathematics and how it is used to understand our world. Highlights of the book include the proven Aufmann Interactive Method and multi-part Excursion exercises that emphasize collaborative learning. An extensive technology program provides users with a comprehensive set of support tools. This Enhanced Edition includes instant access to WebAssign®, the most widely-used and reliable homework system. WebAssign® presents over 500 problems, as well as links to relevant book sections, that help users grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this book. This guide contains instructions to help users learn the basics of WebAssign quickly.

Table of Contents

Problem Solving

Inductive and Deductive Reasoning

Problem Solving with Patterns

Problem-Solving Strategies

Sets

Basic Properties of Sets

Complements, Subsets, and Venn Diagrams

Set Operations

Applications of Sets

Infinite Sets

Logic

Logic Statements and Quantifiers

Truth Tables, Equivalent Statements, and Tautologies

The Conditional and the Biconditional

The Conditional and Related Statements

Arguments

Euler Diagrams

Numeration Systems And Number Theory

Early Numeration Systems

Place-Value Systems

Different Base Systems

Arithmetic in Different Bases

Prime Numbers

Topics from Number Theory

Applications Of Equations

First-Degree Equations and Formulas

Rate, Ratio, and Proportion

Percent

Second-Degree Equations

Applications Of Functions

Rectangular Coordinates and Functions

Properties of Linear Functions

Finding Linear Models

Quadratic Functions

Exponential Functions

Logarithmic Functions

Mathematical Systems

Modular Arithmetic

Applications of Modular Arithmetic

Introduction to Group Theory

Geometry

Basic Concepts of Euclidean Geometry

Perimeter and Area of Plane Figures

Properties of Triangles

Volume and Surface Area

Introduction to Trigonometry

Non-Euclidean Geometry

Fractals

The Mathematics Of Graphs

Traveling Roads and Visiting Cities

Efficient Routes

Planarity and Euler's Formula

Map Coloring and Graphs

The Mathematics Of Finance

Simple IntereSt. Compound IntereSt. Credit Cards and Consumer Loans

Stocks, Bonds, and Mutual Funds

Home Ownership

Combinatorics And Probability

The Counting Principle

Permutations and Combinations

Probability and Odds

Addition and Complement Rules

Conditional Probability

Expectation

Statistics

Measures of Central Tendency

Measures of Dispersion

Measures of Relative Position

Normal Distributions

Linear Regression and Correlation

Apportionment And Voting

Introduction to Apportionment

Introduction to Voting

Weighted Voting Systems

Appendix: The Metric System Of Measurement

Web Appendix: Algebra Review

Table of Contents provided by Publisher. All Rights Reserved.