Which Numbers Are Real? (Classroom Resource Materials)

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Which Numbers Are Real? (Classroom...

Which Numbers Are Real? (Classroom Resource Materials)

Name: Which Numbers Are Real? (Classroom Resource Materials)
ISBN: 9780883857779

Michael Henle

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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.

Year:

2012

Publisher:

The Mathematical Association of America

Language:

english

Pages:

229

ISBN 10:

0883857774

ISBN 13:

9780883857779