1 edition of **An introduction to the algebra of hypernumbers** found in the catalog.

An introduction to the algebra of hypernumbers

Vernon N. Behrns

- 13 Want to read
- 6 Currently reading

Published
**2007**
by Dorrance Publishing Co. in Pittsburgh, Pa
.

Written in English

**Edition Notes**

Includes bibliographical references (p. 28).

Statement | by Vernon N. Behrns |

Classifications | |
---|---|

LC Classifications | QA196 .B44 2007 |

The Physical Object | |

Pagination | 28 p. ; |

Number of Pages | 28 |

ID Numbers | |

Open Library | OL24528977M |

ISBN 10 | 0805976388 |

ISBN 10 | 9780805976380 |

LC Control Number | 2010487162 |

OCLC/WorldCa | 227164780 |

A Gentle Introduction To Abstract Algebra. This book is a gentle introduction to abstract algebra. It is ideal as a text for a one semester course designed to provide a rst exposure of the subject to students in mathematics, science, or engineering. Covered topics are: Divisibility in the Integers, Rings and Fields, Vector Spaces, Spaces. A comprehensive textbook covering Algebra 2 and topics in Precalculus. This book is the follow-up to the acclaimed Introduction to Algebra textbook.. Topics covered in this book include a review of basic algebra topics, complex numbers, quadratics and conic sections, polynomials, multivariable expressions, sequences and series, identities, inequalities, exponents and logarithms, piecewise.

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This book is an attempt at broadening the concept of hypernumbers and extending their dimension. Behrns describes the algebra of hypernumbers, which consists of hyper complex hyper real numbers. ABOUT THE AUTHOR A native of New York, Vernon N. Behrns now lives in Lady Lake, Florida, and has two daughters.

He studied and taught mathematics at the University of Buffalo and also earned his Ph.D. in mathematics. “Burgin (UCLA) provides an introduction to the theory of hypernumbers in this short book, part of the ‘SpringerBriefs in Mathematics’ series.

The (real) hypernumbers are an extension of the real numbers that permits operations with infinite quantities; a real general extrafunction is a partial map from the set of real hypernumbers to itself. Cited by: 1. It does a fantastic job of explaining the topic to people without much college math - an elementary course in linear algebra is all that's needed and, even there, the author covers the prerequisite material, so that a diligent reader could do without the linear algebra.

It is a very accessible by: In mathematics, the system of hyperreal numbers is a way of treating infinite and infinitesimal quantities. The hyperreals, or nonstandard reals, *R, are an extension of the real numbers R that contains numbers greater than anything of the form + + ⋯ + (for any finite number of terms).

Such numbers are infinite, and their reciprocals are term "hyper-real" was introduced by. The theory of hypernumbers and extrafunctions is further development in distribution theory inspired by contemporary physics and influenced by problems in mathematical physics.

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The concept of a hypercomplex number covered them all, and called for a discipline to explain and classify them. The cataloguing project began in when Benjamin Peirce first published his Linear Associative Algebra, and was carried forward by his son Charles Sanders Peirce.

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