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Wednesday, July 22, 2020 | History

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

An introduction to the algebra of hypernumbers

Vernon N. Behrns

An introduction to the algebra of hypernumbers

by Vernon N. Behrns

  • 13 Want to read
  • 6 Currently reading

Published by Dorrance Publishing Co. in Pittsburgh, Pa .
Written in English


Edition Notes

Includes bibliographical references (p. 28).

Statementby Vernon N. Behrns
Classifications
LC ClassificationsQA196 .B44 2007
The Physical Object
Pagination28 p. ;
Number of Pages28
ID Numbers
Open LibraryOL24528977M
ISBN 100805976388
ISBN 109780805976380
LC Control Number2010487162
OCLC/WorldCa227164780

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An introduction to the algebra of hypernumbers by Vernon N. Behrns Download PDF EPUB FB2

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.

The Algebra of Probable Inference, Johns Hopkins University London Mathematical Society, London, Da Prato, G.

An Introduction to Infinite-Dimensional. Landin's book is a great introduction to abstract algebra. It is written at about a 3rd year undergraduate level, so it should be easily accessible to interested readers.

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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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In this section we review the notations used in algebra. Some are peculiar to this book. For example the notation A:= B indicates that the equality holds by de nition of the notations involved.

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