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Which Numbers Are Real? (Classroom Resource Materials) by Michael Henle is a nonfiction available to read on EtoBox.

What is Which Numbers Are Real? (Classroom Resource Materials) about?

Everyone knows the real numbers, those fundamental quantities that make possible all of mathematics from high school algebra and Euclidean geometry through the Calculus and beyond; and also serve as the basis for measurement in science, industry, and ordinary life. This book surveys alternative real number systems: systems that generalize and extend the real numbers yet stay close to these properties that make the reals central to mathematics. Alternative real numbers include many different kinds of numbers, for example multidimensional numbers (the complex numbers, the quaternions and others), infinitely small and infinitely large numbers (the hyperreal numbers and the surreal numbers), and numbers that represent positions in games (the surreal numbers). Each system has a well-developed theory, including applications to other areas of mathematics and science, such as physics, the theory of games, multi-dimensional geometry, and formal logic. They are all active areas of current mathematical research and each has unique features, in particular, characteristic methods of proof and implications for the philosophy of mathematics, both highlighted in this book. Alternative real number

Who reads Which Numbers Are Real? (Classroom Resource Materials)?

Author

Michael Henle

Publisher

American Mathematical Society

Published

2012

Language

EN

ISBN

9780883857779

Category

nonfiction

Subjects

Mathematics, Stem

Rating

4 / 5 (1 ratings)

Updated

2026-03-14