Picture 1 of 22
Stock photo
Picture 1 of 22
Stock photo
Hypercomplex Numbers by I. L. Kantor (1989, Hardcover)
J
juliep0127 (3029)
100% positive feedback
Price:
US $349.99
ApproximatelyS$ 448.97
+ $53.48 shipping
Returns:
30 days return. Buyer pays for return shipping. If you use an eBay shipping label, it will be deducted from your refund amount.
Condition:
Oops! Looks like we're having trouble connecting to our server.
Refresh your browser window to try again.
About this product
Product Identifiers
PublisherSpringer
ISBN-100387969802
ISBN-139780387969800
eBay Product ID (ePID)949239
Product Key Features
Number of PagesX, 169 Pages
LanguageEnglish
Publication NameHypercomplex Numbers
SubjectAlgebra / Linear, Algebra / General
Publication Year1989
TypeTextbook
AuthorI. L. Kantor
Subject AreaMathematics
FormatHardcover
Dimensions
Item Weight16.8 Oz
Additional Product Features
Intended AudienceScholarly & Professional
LCCN89-006160
Dewey Edition20
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal512
SynopsisThis 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).", 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).
LC Classification NumberQA184-205
Be the first to write a review
