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Which Numbers Are Real? (Classroom Resource Materials)
Michael Henle
€ 60.59
€ 55.99
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Description for Which Numbers Are Real? (Classroom Resource Materials)
Hardcover. An exploration of number systems that extend and generalise the real numbers, of interest to students, mathematics teachers and enthusiasts. Series: Classroom Resource Materials. Num Pages: 229 pages, Illustrations. BIC Classification: PBCN. Category: (U) Tertiary Education (US: College). Dimension: 236 x 155 x 17. Weight in Grams: 430. Series: Classroom Resource Materials. 229 pages, illustrations. An exploration of number systems that extend and generalise the real numbers, of interest to students, mathematics teachers and enthusiasts. Cateogry: (U) Tertiary Education (US: College). BIC Classification: PBCN. Dimension: 236 x 155 x 17. Weight: 430.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2012
Publisher
Mathematical Association of America
Number of pages
229
Condition
New
Series
Classroom Resource Materials
Number of Pages
229
Place of Publication
Washington, United States
ISBN
9780883857779
SKU
V9780883857779
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
About Michael Henle
Michael Henle is Professor of Mathematics and Computer Science at Oberlin College and has had two visiting appointments, at Howard University and the Massachusetts Institute of Technology, as well as two semesters teaching in London in Oberlin's own program. He is the author of two books: A Combinatorial Introduction to Topology (W. H. Freeman and Co., 1978, reissued by Dover ... Read more
Reviews for Which Numbers Are Real? (Classroom Resource Materials)
This work is a delightfully concise treatment of number systems. The number systems constructed here include the real, complex, quaternion, hyperreal, and surreal. Although numerous papers and books have been published about each of these systems, this treatise provides an introduction to all of them. As it is a categorical axiom system that characterizes the reals, all other number systems ... Read more