ISBN: 9781461281917

ISBN-13: 9781461281917, 978-1461281917. Hypercomplex Numbers. This book deals with various systems of "numbers" that can be constructed by adding "imaginary units" to the real numbers. Th… Mehr…

ISBN-13: 9781461281917, 978-1461281917. Hypercomplex Numbers. 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. Hypercomplex Numbers Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days).An Elementary Introduction to AlgebrasAuthor(s): Abe Shenitzer, I.L. Kantor, A.S. SolodovnikovFormat: PaperbackPublisher: Springer-Verlag New York Inc., United StatesImprint: Springer-Verlag New York Inc.ISBN-13: 9781461281917, 978-1461281917SynopsisThis 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)., Neu, Festpreisangebot, [LT: FixedPrice], Book Title: Hypercomplex Numbers, Publication Year: 2011, Type: Textbook, Language: English, Publication Name: Hypercomplex Numbers: an Elementary Introduction to Algebras, Item Height: 235mm, Item Width: 155mm, Subject: Mathematics, Item Weight: 289g, Number of Pages: 169 Pages, Springer-Verlag NY Inc.<

2011, ISBN: 1461281911

[EAN: 9781461281917], Neubuch, [PU: Springer New York Sep 2011], MATRIXTHEORY, This item is printed on demand - it takes 3-4 days longer - Neuware -This book deals with various systems of… Mehr…

[EAN: 9781461281917], Neubuch, [PU: Springer New York Sep 2011], MATRIXTHEORY, This item is printed on demand - it takes 3-4 days longer - 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). 184 pp. Englisch, Books<

ISBN: 9781461281917

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… Mehr…

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). New Textbooks>Trade Paperback>Science>Mathematics>Mathematics, Springer New York Core >1 >T<

2012, ISBN: 1461281911

[EAN: 9781461281917], Neubuch, [PU: Springer], reprint edition. 179 pages. 9.50x6.50x0.50 inches. In Stock., Books

ISBN: 9781461281917

paperback