Mathematics in the Modern World
ABOUT THE AUTHORS
Richard N. Aufmann Joanne S. Lockwood Richard D. Nation
Daniel K. Clegg Susanna S. Epp
2018 10-MB-00001-0 978-971-23-9357-0 Core
COPYRIGHT: ITEM CODE: ISBN: PROGRAM:
Contents
CONTENTS
Preface v About the Authors x About the Contributor xi
5 Logic
163
5.1 5.2 5.3 5.4 5.5 5.6
Logic Statements and Quantifiers 164
Truth Tables, Equivalent Statements, and Tautologies 175
1 Nature of Mathematics
The Conditional and the Biconditional 184 The Conditional and Related Statements 193
1
1.1 1.2 1.3
Patterns and Numbers in Nature and the World 2
Symbolic Arguments 199
The Fibonacci Sequence 13
Arguments and Euler Diagrams 212 6 The Mathematics of Graphs
Mathematics for our World 17
227
2 Speaking Mathematically
6.1 6.2 6.3 6.4
Graphs and Euler Circuits 228
23
Weighted Graphs 243
2.1 2.2 2.3
Variables 24
Planarity and Euler’s Formula 259
The Language of Sets 30
Graph Coloring 269 7 Mathematical Systems
The Language of Relations and Functions 39
291
3 Problem Solving
55
7.1 7.2 7.3
Modular Arithmetic 292
3.1 3.2 3.3
Inductive and Deductive Reasoning 56 Problem Solving with Patterns 69 Problem-Solving Strategies 80
Applications of Modular Arithmetic 302
Introduction to Group Theory 312
4 Statistics
Index 329
101
4.1 4.2 4.3 4.4 4.5
Measures of Central Tendency 102
Measures of Dispersion 112
Measures of Relative Position 120
Normal Distributions 131
Linear Regression and Correlation 143
2025 Higher Education Learning Solutions for the General Education Program 531
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