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Mathematical Excursions, 5th Edition

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

  • Copyright 2027
  • {{checkPublicationMessage('Published', '2026-01-01T00:00:00+0000')}}
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Mathematical Excursions 5th Edition by Richard N. Aufmann/Joanne S. Lockwood/Richard D. Nation/Daniel K. Clegg
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Overview

Aufmann/Lockwood/Nation/Clegg's "Mathematical Excursions," 5e takes an application-focused approach to quantitative reasoning, helping students see how mathematics informs decisions in everyday life, work and society. Updated examples and Excursion activities keep the course relevant, while new estimation and graphs coverage, a redesigned Statistics chapter and stronger use of technology in finance build practical skills students can use beyond the course. WebAssign turns that applied approach into a guided learning experience with varied exercise types, study resources and an interactive eBook that give students multiple ways to work with the mathematics and reinforce what they are learning.

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Meet the Authors

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Richard N. Aufmann

Richard Aufmann is the lead author of two best-selling DEVELOPMENTAL MATH series and a best-selling COLLEGE ALGEBRA AND TRIGONOMETRY series, as well as several derivative math texts. Mr. Aufmann taught math, computer science and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum and the impact of technology on curriculum development. He holds a Bachelor of Arts in Mathematics from the University of California, Irvine and a Master of Arts degree in Mathematics from California State University, Long Beach.

Joanne S. Lockwood

Joanne Lockwood received a BA in English Literature from St. Lawrence University and both an MBA and a BA in mathematics from Plymouth State University. Ms. Lockwood taught at Plymouth State University and Nashua Community College in New Hampshire, and has over 20 years' experience teaching mathematics at the high school and college level. Ms. Lockwood has co-authored two bestselling developmental math series, as well as numerous derivative math texts and ancillaries. Ms. Lockwood's primary interest today is helping developmental math students overcome their challenges in learning math.

Richard D. Nation

Richard Nation received a B.A. in mathematics from Morningside College and a M.S. degree in mathematics from the University of South Dakota. Mr. Nation also attended a National Science Foundation academic year institute in mathematics at San Diego State University. Mr. Nation taught math at Palomar College in California, where he was on the faculty for 20 years. He has over 38 years’ experience teaching mathematics at the high school and college levels. He is the co-author of several Aufmann titles. Today, Mr. Nation’s professional interests include the impact of technology on curriculum development and on the teaching of mathematics at the precalculus level.

Daniel K. Clegg

Daniel Clegg received his B.A. in Mathematics from California State University, Fullerton and his M.A. in Mathematics from UCLA. He is currently a professor of mathematics at Palomar College near San Diego, California, where he has taught for more than 20 years. Clegg co-authored BRIEF APPLIED CALCULUS with James Stewart and also assisted Stewart with various aspects of his calculus texts and ancillaries for almost 20 years.

What's New

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  • New Common Error Assistance identifies common format and syntax errors and provides targeted help within the question, helping students correct mistakes without giving away the answer.
  • Expanded Expanded Problem coverage guides students through intermediate steps, helping them work through the mathematics instead of focusing only on the final answer.
  • Assignable Excursions bring project-like applications into WebAssign, giving students opportunities to apply and extend section concepts within the course experience.
  • New estimation and graphs coverage helps students make quick, informed decisions in real-world contexts.
  • A redesigned Statistics chapter adds new coverage of gathering, organizing and displaying data to strengthen statistical thinking.
  • Updated Application Examples, Exercises and Excursions use current data and contemporary topics to connect mathematics to everyday decisions.
  • The Math of Finance chapter increases the use of technology for investments and loans, helping students build practical financial decision-making skills.

Features

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  • The Excursion at the end of every section enables students to take an active role in the learning process with engaging applications such as tessellations in Section 7.3.
  • At various places throughout the text, a thought-provoking question is posed to encourage students to pause, think about the current discussion and answer the question.
  • Learning support includes worked examples, Check Your Progress sections, Chapter Summaries, special notes, videos and a wide range of exercise types.
  • Extension Exercises at the end of each exercise set extend the concepts. These are typically more challenging and require more time and effort than the preceding exercises.

Table of Contents

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1. PROBLEM SOLVING.
Inductive and Deductive Reasoning. Excursion: The Monty Hall Problem. Estimation and Graphs. Excursion: Scientific Notation. Problem Solving with Patterns. Excursion: Polygonal Numbers. Problem-Solving Strategies. Excursion: Routes on a Probability Demonstrator.
Chapter 1 Summary.
Chapter 1 Review Exercises.
Chapter 1 Test.
2. SETS.
Basic Properties of Sets. Excursion: Fuzzy Sets. Complements, Subsets, and Venn Diagrams. Excursion: Subsets and Complements of Fuzzy Sets. Set Operations. Excursion: Union and Intersection of Fuzzy Sets. Applications of Sets. Excursion: Voting Systems. Infinite Sets. Excursion: Transfinite Arithmetic.
Chapter 2 Summary.
Chapter 2 Review Exercises.
Chapter 2 Test.
3. LOGIC.
Logic Statements and Quantifiers. Excursion: Switching Networks. Truth Tables Equivalent Statements and Tautologies. Excursion: Switching Networks-Part II. The Conditional and the Biconditional. Excursion: Logic Gates. The Conditional and Related Statements. Excursion: Sheffer's Stroke and the NAND Gate. Symbolic Arguments. Excursion: Fallacies. Arguments and Euler Diagrams. Excursion: Using Logic to Solve Cryptarithms.
Chapter 3 Summary.
Chapter 3 Review Exercises.
Chapter 3 Test.
4. APPORTIONMENT AND VOTING.
Introduction to Apportionment. Excursion: Apportioning the 1790 House of Representatives. Introduction to Voting. Excursion: Variations of the Borda Count Method. Weighted Voting Systems. Excursion: Blocking Coalitions and the Banzhaf Power Index.
Chapter 4 Summary.
Chapter 4 Review Exercises.
Chapter 4 Test.
5. THE MATHEMATICS OF GRAPHS.
Graphs and Euler Circuits. Excursion: Pen-Tracing Puzzles. Weighted Graphs. Excursion: Minimal Spanning Trees. Planarity and Euler's Formula. Excursion: The Five Regular Convex Polyhedra. Graph Coloring. Excursion: Modeling Traffic Lights with Graphs.
Chapter 5 Summary.
Chapter 5 Review Exercises.
Chapter 5 Test.
6. NUMERATION SYSTEMS AND NUMBER THEORY.
Early Numeration Systems. Excursion: A Rosetta Tablet for the Traditional Chinese Numeration System. Place-Value Systems. Excursion: Subtraction via the Nines Complement and the End-Around Carry. Different Base Systems. Excursion: Information Retrieval via a Binary Search. Arithmetic in Different Bases. Excursion: Subtraction in Base Two via the Ones Complement and the End-Around Carry. Prime Numbers. Excursion: The Distribution of the Primes. Topics from Number Theory. Excursion: A Sum of the Divisors Formula.
Chapter 6 Summary.
Chapter 6 Review Exercises.
Chapter 6 Test.
7. MEASUREMENT AND GEOMETRY.
Measurement. Excursion: Drawing with a Straightedge and a Compass. Basic Concepts of Euclidean Geometry. Excursion: Lines of Symmetry. Perimeter and Area of Plane Figures. Excursion: Tessellations. Properties of Triangles. Excursion: Topology: A Brief Introduction. Volume and Surface Area. Excursion: Water Displacement. Right Triangle Trigonometry. Excursion: Approximating the Value of a Trigonometric Ratio. Non-Euclidean Geometry. Excursion: Finding Geodesics. Fractals. Excursion: The Heighway Dragon Fractal.
Chapter 7 Summary.
Chapter 7 Review Exercises.
Chapter 7 Test.
8. MATHEMATICAL SYSTEMS.
Modular Arithmetic. Excursion: Computing the Day of the Week. Applications of Modular Arithmetic. Excursion: Public Key Cryptography. Introduction to Group Theory. Excursion: Wallpaper Groups.
Chapter 8 Summary.
Chapter 8 Review Exercises.
Chapter 8 Test.
9. APPLICATIONS OF FUNCTIONS.
Rectangular Coordinates and Functions. Excursion: Dilations of a Geometric Figure. Properties of Linear Functions. Excursion: Negative Velocity. Finding Linear Models. Excursion: A Linear Business Model. Systems of Linear Equations in Two Variables. Excursion: Rate-of-Wind and Rate-of-Current Problems. Quadratic Functions. Excursion: Reflective Properties of a Parabola. Exponential Functions. Excursion: Chess and Exponential Functions. Logarithmic Functions. Excursion: Benford's Law.
Chapter 9 Summary.
Chapter 9 Review Exercises.
Chapter 9 Test.
10. THE MATHEMATICS OF FINANCE.
Simple Interest. Excursion: Interest on a Car Loan. Compound Interest. Excursion: Consumer Price Index. Credit Cards and Consumer Loans. Excursion: Amortization Schedules. Stocks Bonds and Mutual Funds. Excursion: Treasury Bills. Home Ownership. Excursion: Federal Income Tax.
Chapter 10 Summary.
Chapter 10 Review Exercises.
Chapter 10 Test.
11. COMBINATORICS AND PROBABILITY.
The Counting Principle. Excursion: Decision Trees. Permutations and Combinations. Excursion: Choosing Numbers in Keno. Probability and Odds. Excursion: The Value of Pi by Simulation. Addition and Complement Rules. Excursion: Keno Revisited. Conditional Probability. Excursion: Sharing Birthdays. Expectation. Excursion: Chuck-a-luck.
Chapter 11 Summary.
Chapter 11 Review Exercises.
Chapter 11 Test.
12. STATISTICS.
Gathering, Organizing, and Displaying Data. Excursion: Stem-and-Leaf Diagrams. Measures of Central Tendency. Excursion: Linear Interpolation and Animation. Measures of Dispersion. Excursion: A Geometric View of Variance and Standard Deviation. Measures of Relative Position. Excursion: Quintiles. The Normal Distribution. Excursion: Confidence Intervals. Linear Regression and Correlation. Excursion: Exponential Regression.
Chapter 12 Summary.
Chapter 12 Review Exercises.
Chapter 12 Test.
Appendix APPLICATIONS OF EQUATIONS.
A.1 First-Degree Equations and Formulas.
A.2 Rate, Ratio, and Proportion.
A.3 Percent.
A.4 Second-Degree Equations.
Appendix Summary.
Appendix Review Exercises.
Appendix Test.

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ISBN: 9798214011332
WebAssign for Aufmann/Lockwood/Nation/Clegg's "Mathematical Excursions," 5th Edition, is a flexible and fully customizable online instructional solution that puts powerful tools in the hands of instructors, enabling you to deploy assignments, instantly assess individual student and class performance and help your students master the course concepts. With its powerful digital platform and content, you can tailor your course with a wide range of assignment settings, add your own questions and content and access student and course analytics and communication tools.