Title:
Mathematical excursions
Edition:
2nd ed.
Publication Information:
new York : Houghton Mifflin, 2007.
ISBN:
9780618608539
Added Author:
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010079665 | QA11.2 M27 2007 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
By presenting problem solving in purposeful and meaningful contexts, Mathematical Excursions, 2/e, provides students 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 instructors and students with a comprehensive set of support tools.
Table of Contents
| Preliminary Contents |
| 1 Problem Solving |
| 1.1 Inductive and deductive reasoning |
| 1.2 Problem solving with patterns |
| 1.3 Problem-solving strategies |
| 2 Sets |
| 2.1 Basic properties of sets |
| 2.2 Complements, subsets, and venn diagrams |
| 2.3 Set operations |
| 2.4 Applications of sets |
| 2.5 Infinite sets |
| 3 Logic |
| 3.1 Logic statements and quantifiers |
| 3.2 Truth tables, equivalent statements, and tautologies |
| 3.3 The conditional and the biconditional |
| 3.4 The conditional and related statements |
| 3.5 Arguments |
| 3.6 Euler diagrams |
| 4 Numeration Systems and Number Theory |
| 4.1 Early numeration systems |
| 4.2 Place-value systems |
| 4.3 Different base systems |
| 4.4 Arithmetic in different bases |
| 4.5 Prime numbers |
| 4.6 Topics from number theory |
| 5 Applications of Equations |
| 5.1 First-degree equations |
| 5.2 Rate, ratio, and proportion |
| 5.3 Percent |
| 5.4 Second-degree equations |
| 6 Applications of Functions |
| 6.1 Rectangular coordinates and functions |
| 6.2 Properties of linear functions |
| 6.3 Finding linear models |
| 6.4 Quadratic functions |
| 6.5 Exponential functions |
| 6.6 Logarithmic functions |
| 7 Mathematical Systems |
| 7.1 Modular arithmetic |
| 7.2 Applications of modular arithmetic |
| 7.3 Introduction to group theory |
| 8 Geometry |
| 8.1 Basic concepts of Euclidean geometry |
| 8.2 Perimeter and area of plane figures |
| 8.3 Properties of triangles |
| 8.4 Volume and surface area |
| 8.5 Introduction to trigonometry |
| 8.6 Non-Euclidean geometry |
| 8.7 Fractals |
| 9 The Mathematics of Graphs |
| 9.1 Traveling roads and visiting cities |
| 9.2 Efficient routes |
| 9.3 Planarity and Euler's formula |
| 9.4 Map coloring and graphs |
| 10 The Mathematics of Finance |
| 10.1 Simple interest |
| 10.2 Compound interest |
| 10.3 Credit cards and consumer loans |
| 10.4 Stocks, bonds, and mutual funds |
| 10.5 Home ownership |
| 11 Combinatorics and Probability |
| 11.1 The counting principle |
| 11.2 Permutations and combinations |
| 11.3 Probability and odds |
| 11.4 Addition and complement rules |
| 11.5 Conditional probability |
| 11.6 Expectation |
| 12 Statistics |
| 12.1 Measures of central tendency |
| 12.2 Measures of dispersion |
| 12.3 Measures of relative position |
| 12.4 Normal distributions |
| 12.5 Linear regression and correlation |
| 13 Apportionment and Voting |
| 13.1 Introduction to apportionment |
| 13.2 Introduction to voting |
| 13.3 Weighted voting systems |
