Which Numbers Are Real? - Rilegato

Henle, Michael

4,5

6 valutazioni di Goodreads

Rilegato

ISBN 10: 0883857774 ISBN 13: 9780883857779

Casa editrice: The Mathematical Association of America, 2012

Vedi tutte le copie di questo ISBN:

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Descrizione del libro:

This book explores alternative number systems that generalise the real numbers yet stay close to the properties that make the real numbers the fundamental quantities of mathematics. These exciting and sometimes eccentric number systems are active areas of research and will be of interest to students and teachers of mathematics.

L'autore:

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 Publications, 1994) and Modern Geometries: The Analytic Approach (Prentice-Hall, 1996). He is currently editor of The College Mathematics Journal.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.