Doug Ensley

Professor of Mathematics

Shippensburg University

MAT400 Handouts

Chapter List

Berlinghoff and Gouvea

Chapter 1. Keeping Count. Writing Whole Numbers.
Chapter 2. Reading and Writing Arithmetic. Where the Symbols Came From.
Chapter 3. Nothing Becomes a Number. The Story of Zero.
Chapter 4. Broken Numbers. Writing Fractions.
Chapter 5. Something Less Than Nothing? Negative Numbers.
Chapter 6. By Tens and Tenths. Metric Measurement.
Chapter 7. Measuring the Circle. The Story of pi.
Chapter 8. The Cossic Art. Writing Algebra with Symbols.
Chapter 9. Linear Thinking. Solving First Degree Equations.
Chapter 10. A Square and Things. Quadratic Equations.
Chapter 11. Intrigue in Renaissance Italy. Solving Cubic Equations.
Chapter 12. A Cheerful Fact. The Pythagorean Theorem
Chapter 13. A Marvelous Proof. Fermat’s Last Theorem
Chapter 14. On Beauty Bare. Euclid’s Plane Geometry.
Chapter 15. In Perfect Shape. The Platonic Solids.
Chapter 16. Shapes by the Numbers. Coordinate Geometry.
Chapter 17. Impossible, Imaginary, Useful. Complex Numbers
Chapter 18. Half is Better. Sine and Cosine.
Chapter 19. Strange New Worlds. The Non-Euclidean Geometries
Chapter 20. In the Eye of the Beholder. Projective Geometry.
Chapter 21. What’s in a Game? The Start of Probability Theory
Chapter 22. Making Sense of Data. Statistics Becomes a Science
Chapter 23. Machines that Think? Electronics Computers
Chapter 24. The Arithmetic of Reasoning. Logic and Boolean Algebra
Chapter 25. Beyond Counting. Infinity and the Theory of Sets

For more details, contact me by sending e-mail to deensley@ship.edu or by using the information at the right.

 Doug Ensley
Department of Mathematics
Shippensburg University
Shippensburg, PA 17257
Phone: (717) 477-1477
Fax: (717) 477-4009
The site http://webspace.ship.edu/deensley/ is maintained by Doug Ensley, who is solely responsible for its content.