Which Numbers Are Real?

by Michael Henle

The set of real numbers is one of the fundamental concepts of mathematics. This book surveys alternative number systems: systems that generalise the real numbers yet stay close to the properties that make the reals central to mathematics. There are many alternative number systems, such as multidimensional numbers (complex numbers, quarternions), infinitely small and infinitely large numbers (hyperreal numbers) and numbers that represent positions...

• Format: Hardcover
• Language: English
• ISBN: 0883857774
• ISBN13: 9780883857779
• Release Date: December 2012
• Publisher: American Mathematical Society
• Length: 277 Pages
• Weight: 0.95 lbs.
• Dimensions: 0.6" x 7.0" x 10.0"