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 in games (surreal numbers).
Each system has a well-developed theory with applications in other areas of mathematics and science. They all feature in active areas of research and each has unique features that are explored in this book. Alternative number systems reveal the central role of the real numbers and motivate some exciting and eccentric areas of mathematics.
What Numbers Are Real? will be an illuminating read for anyone with an interest in numbers, but specifically for advanced undergraduates, graduate students and teachers of university-level mathematics.
| ISBN: | 9780883857779 |
| Publication date: | 30th December 2012 |
| Author: | Michael Henle |
| Publisher: | Mathematical Association of America an imprint of The Mathematical Association of America |
| Format: | Hardback |
| Pagination: | 229 pages |
| Series: | Classroom Resource Materials |
| Genres: |
Number systems Mathematics Mathematical logic Algebra |
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.
What Numbers Are Real? features in the following genres: Number systems, Mathematics, Mathematical logic, Algebra
Hardback. Not Available.
What Numbers Are Real? was written by Michael Henle and published by Mathematical Association of America an imprint of The Mathematical Association of America
What Numbers Are Real? has 229 pages
Yes it is part of Classroom Resource Materials series