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 | Status |
---|---|---|---|---|

Searching... | 30000010079665 | QA11.2 M27 2007 | Open Access 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 |