Number Systems Including Countable Sets, Real Numbers And Their Extensions

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a 'number system' is a set of numbers, together with one or more operations, such as addition or multiplic... Read more

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a 'number system' is a set of numbers, together with one or more operations, such as addition or multiplication. Examples of number systems include: natural numbers, integers, rational numbers, algebraic numbers, real numbers, complex numbers, p-adic numbers, surreal numbers, and hyperreal numbers. Natural numbers are the ordinary counting numbers 1, 2, 3, .... Real numbers are values such as 5, an integer, 3/4, a rational number that is not an integer, 8.6 a rational number expressed in decimal representation, and pi, 3.1415926535..., an irrational number, that represent quantities along a continuum. This book studies number systems including integers, computable numbers, superreal numbers, surreal numbers, and cardinal numbers. Project Webster represents a new publishing paradigm, allowing disparate content sources to be curated into cohesive, relevant, and informative books. To date, this content has been curated from Wikipedia articles and images under Creative Commons licensing, although as Project Webster continues to increase in scope and dimension, more licensed and public domain content is being added. We believe books such as this represent a new and exciting lexicon in the sharing of human knowledg Less