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Mathematical Excursions

By Richard N. Aufmann, Joanne S. Lockwood, Richard D. Nation, Daniel K. Clegg

4th Edition © 2018
Discipline:Mathematics
Course:Liberal Arts Mathematics
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MATHEMATICAL EXCURSIONS, Fourth Edition, teaches students that mathematics is a system of knowing and understanding our surroundings, and explores a selection of topics from various areas in mathematics. The topics were chosen to exemplify the power and diversity of mathematics and to connect math concepts to contemporary applications. For example, sending information across the Internet is better understood when one understands prime numbers; the perils of radioactive waste take on new meaning when one understands exponential functions; and the efficiency of the flow of traffic through an intersection is more interesting after seeing the system of traffic lights represented in a mathematical form. WebAssign is a flexible and fully customizable online instructional solution that puts powerful tools in your hands, enabling you to deploy assignments, add your own content, instantly assess individual student and class performance, and help your students master course concepts.

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MATHEMATICAL EXCURSIONS, Fourth Edition, teaches students that mathematics is a system of knowing and understanding our surroundings, and explores a selection of topics from various areas in mathematics. The topics were chosen to exemplify the power and diversity of mathematics and to connect math concepts to contemporary applications. For example, sending information across the Internet is better understood when one understands prime numbers; the perils of radioactive waste take on new meaning when one understands exponential functions; and the efficiency of the flow of traffic through an intersection is more interesting after seeing the system of traffic lights represented in a mathematical form. WebAssign is a flexible and fully customizable online instructional solution that puts powerful tools in your hands, enabling you to deploy assignments, add your own content, instantly assess individual student and class performance, and help your students master course concepts.

Instructors and students benefit from WebAssign content updates without having to transition to a new edition, including new problem types such as Responsive Labs, a new Activities Booklet, and more.

JUST IN TIME SUPPORT built into questions contains direct links to the eTextbook (Read It) and videos (Watch It).

MASTER IT TUTORIALS break problems down into steps to help guide students through the mathematical process.

VIDEO EXAMPLES provide embedded videos paired with follow-up questions to ensure student understanding.

COURSE PACKS are modifiable, ready-to-use assignments built by subject matter experts to help save time.

Table of contents

Chapters

Cover Page
Title Page
Copyright Page
1. Problem Solving*Preview this chapter
2. Sets
3. Logic
4. Apportionment and Voting
5. The Mathematics of Graphs
6. Numeration Systems and Number Theory
7. Measurement and Geometry
8. Mathematical Systems
9. Applications of Equations
10. Applications of Functions
11. The Mathematics of Finance
12. Combinatorics and Probability
13. Statistics
Media Index
Show more

1. Problem SolvingPreview this chapter ↗

Section 1.1. Inductive and Deductive Reasoning
Preview this section ↗
Inductive Reasoning ↗
Counterexamples ↗
Deductive Reasoning ↗
Inductive Reasoning vs. Deductive Reasoning ↗
Logic Puzzles ↗
Excursion. KenKen® Puzzles: An Introduction
Preview this section ↗
Basic Puzzle Solution Strategies ↗
1.1
Exercise Set
Preview this section ↗
Extensions ↗
Section 1.2. Problem Solving with Patterns
Preview this section ↗
Terms of a Sequence ↗
nth-Term Formula for a Sequence ↗
The Fibonacci Sequence ↗
Excursion. Polygonal Numbers
Preview this section ↗
Excursion Exercises ↗
1.2
Exercise Set
Preview this section ↗
Extensions ↗
Section 1.3. Problem-Solving Strategies
Preview this section ↗
Polya’s Problem-Solving Strategy ↗
Reading and Interpreting Graphs ↗
Excursion. Routes on a Probability Demonstrator
Preview this section ↗
Excursion Exercises ↗
1.3
Exercise Set
Preview this section ↗
Extensions ↗
Summary ↗
Review Exercises ↗
Test ↗
Show more

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