Mathematical Excursions
by Aufmann, Richard N.; Lockwood, Joanne; Nation, Richard D.; Clegg, Daniel K.Buy New
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Summary
Table of Contents
| Preliminary 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 | |
| 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 | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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