Hypercomplex Numbers

Language: English

Published by Springer, Springer Sep 2011, 2011

1461281911 / 9781461281917

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This item is printed on demand - Print on Demand Titel. Neuware -This book deals with various systems of 'numbers' that can be constructed by adding 'imaginary units' to the real numbers. The complex numbers are a classical example of such a system. One of the most important properties of the complex numbers is given by the identity (1) Izz'l = Izl Iz'I It says, roughly, that the absolute value of a product is equal to the product of the absolute values of the factors. If we put z = al + a2i, z' = b+ bi, 1 2 then we can rewrite (1) as The last identity states that 'the product of a sum of two squares by a sum of two squares is a sum of two squares. ' It is natural to ask if there are similar identities with more than two squares, and how all of them can be described. Already Euler had given an example of an identity with four squares. Later an identity with eight squares was found. But a complete solution of the problem was obtained only at the end of the 19th century. It is substantially true that every identity with n squares is linked to formula(1), except that z and z' no longer denote complex numbers but more general 'numbers' where i,j, . . . , I are imaginary units. One of the main themes of this book is the establishing of the connection between identities with n squares and formula (1).Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 184 pp. Englisch.…

Seller Inventory # 9781461281917

Title
Hypercomplex Numbers
Author
I. L. Kantor
Publisher
Springer, Springer Sep 2011
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1461281911
ISBN 13
9781461281917
Item weight
289 grams
Dimensions
235x155x11 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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