Read Which Numbers are Real?

Which Numbers are Real?

Michael Henle

4.9/5 (28396 ratings)

Description: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 systems illuminate the central, unifying role of the real numbers and include some exciting and eccentric parts of mathematics. Which Numbers Are Real? Will be of interest to anyone with an interest in numbers, but specifically to upper-level undergraduates, graduate students, and professional mathematicians, particularly college mathematics teachers.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Which Numbers are Real?. To get started finding Which Numbers are Real?, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: 224

Format: PDF, EPUB & Kindle Edition

Publisher: Mathematical Association of America

Release: 2012

ISBN: 0883857774

Description: 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 systems illuminate the central, unifying role of the real numbers and include some exciting and eccentric parts of mathematics. Which Numbers Are Real? Will be of interest to anyone with an interest in numbers, but specifically to upper-level undergraduates, graduate students, and professional mathematicians, particularly college mathematics teachers.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Which Numbers are Real?. To get started finding Which Numbers are Real?, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Special Offer | $0.00

Special Offer! | $0.00

Which Numbers are Real?

Which Numbers are Real?

More Books

A Combinatorial Introduction to Topology (Dover Books on Mathematics)

A Combinatorial Introduction to Topology (Dover Books on Mathematics)

Modern Geometries: Non-Euclidean, Projective, and Discrete Geometry (2nd Edition)

Modern Geometries: Non-Euclidean, Projective, and Discrete Geometry (2nd Edition)

Modern Geometries: The Analytic Approach

Modern Geometries: The Analytic Approach

Hired! The Job Hunting and Career Planning Guide

Hired! The Job Hunting and Career Planning Guide

Martin Gardner in the Twenty-First Century [Paperback] [2012] (Author) Michael Henle, Brian Hopkins

Martin Gardner in the Twenty-First Century [Paperback] [2012] (Author) Michael Henle, Brian Hopkins

A Combinatorial Introduction to Topology (Dover Books on Mathematics) New Edition by Michael Henle published by Dover Publications (1994)

A Combinatorial Introduction to Topology (Dover Books on Mathematics) New Edition by Michael Henle published by Dover Publications (1994)

Hamilton's Nutrition, Text Only (6th, 94) by Stebleton, Michael - Henle, Michael [Paperback (2010)]

Hamilton's Nutrition, Text Only (6th, 94) by Stebleton, Michael - Henle, Michael [Paperback (2010)]