Mathematics: A Human Endeavor / Edition 3

by Harold R. Jacobs

Overview

For instructors of liberal arts mathematics classes who focus on problem-solving, Harold Jacobs's remarkable textbook has long been the answer, helping teachers connect with of math-anxious students. Drawing on over thirty years of classroom experience, Jacobs shows students how to make observations, discover relationships, and solve problems in the context of ordinary experience.

Product Details

ISBN-13:	9780716724261
Publisher:	Freeman, W. H. & Company
Publication date:	01/15/1994
Edition description:	Third Edition
Pages:	704
Product dimensions:	7.78(w) x 10.30(h) x 1.29(d)
Age Range:	12 - 17 Years

Table of Contents

1. Mathematical Ways of Thinking
The Path of the Billiard Ball
More Billiard-Ball Mathematics
Inductive Reasoning: Finding and Extending Patterns
The Limitations of Inductive Reasoning
Deductive Reasoning: Mathematical Proof
Number Tricks and Deductive Reasoning

2. Number Sequences
Arithmetic Sequences
Geometric Sequences
The Binary Sequence
The Sequence of Squares
The Sequence of Cubes
Fibonacci Sequence

3. Functions and Their Graphs
The Idea of a Function
Descartes and the Coordinate Graph
Functions with Line Graphs
Functions with Parabolic Graphs
More Functions with Curved Graphs
Interpolation and Extrapolation: Guessing Between and Beyond

4. Large Numbers and Logarithms
Large Numbers
Scientific Notation
An Introduction to Logarithms
Decimal Logarithms
Logarithms and Scientific Notation
Exponential Functions

5. Symmetry and Regular Figures
Symmetry
Regular Polygons
Mathematical Mosaics
Regular Polyhedra
Pyramids and Prisms

6. Mathematical Curves
The Circle and the Ellipse
The Parabola
The Hyperbola
The Sine Curve
Spirals
The Cycloid

7. Methods of Counting
The Fundamental Counting Principle
Permutations
More on Permutations
Combinations

8. The Mathematics of Chance
Probability: The Measure of Chance
Dice Games and Probability
Probabilities of Successive Events
Binomial Probability
Pascal's Triangle
Independent and Dependent Events
The Birthday Problem: Complimentary Events

9. An Introduction to Statistics
Organizing Data: Frequency
Distributions
The Breaking of Ciphers and Codes: An Application of Statistics
Measures of Central Tendency
Measures of Variability
Displaying Data: Statistical Graphs
Collecting Data: Sampling

10. Topics in Topology
The Mathematics of Distortion
The Seven Bridges of Konigsberg: An Introduction to Networks
Euler Paths
Trees
The Moebius Strip and Other Surfaces

Appendix: Basic Ideas and Operations
Angles and Their Measurement
The Distributive Rule
Signed Numbers
Percent
Answers to Selected Exercises
Index