Complex numbers in N dimensions. (2002)

• Record Type: Book
• Further Information: Note: Silviu Olariu.
• Other Names: Olariu, Silviu
• Contents: 1 Hyperbolic Complex Numbers in Two Dimensions; ; 1.1 Operations with hyperbolic twocomplex numbers; 1.2 Geometric representation of hyperbolic twocomplex numbers; 1.3 Exponential and trigonometric forms of a twocomplex number; 1.4 Elementary functions of a twocomplex variable; 1.5 Twocomplex power series; 1.6 Analytic functions of twocomplex variables; 1.7 Integrals of twocomplex functions; 1.8 Factorization of twocomplex polynomials; 1.9 Representation of hyperbolic twocomplex numbers by irreducible matrices.; ; 2 Complex Numbers in Three Dimensions; ; 2.1 Operations with tricomplex numbers; 2.2 Geometric representation of tricomplex numbers; 2.3 The tricomplex cosexponential functions; 2.4 Exponential and trigonometric forms of tricomplex numbers; 2.5 Elementary functions of a tricomplex variable; 2.6 Tricomplex power series. ; 2.7 Analytic functions of tricomplex variables; 2.8 Integrals of tricomplex functions; 2.9 Factorization of tricomplex polynomials; 2.10 Representation of tricomplex numbers by irreducible matrices.; ; 3 Commutative Complex Numbers in Four Dimensions; ; 3.1 Circular complex numbers in four dimensions; ; 3.1.1 Operations with circular fourcomplex numbers; 3.1.2 Geometric representation of circular fourcomplex numbers; 3.1.3 The exponential and trigonometric forms of circular fourcomplex numbers; 3.1.4 Elementary functions of a circular fourcomplex variable; 3.1.5 Power series of circular fourcomplex variables; 3.1.6 Analytic functions of circular fourcomplex variables; 3.1.7 Integrals of functions of circular fourcomplex variables; 3.1.8 Factorization of circular fourcomplex polynomials. ; 3.1.9 Representation of circular fourcomplex numbers by irreducible matrices; ; 3.2 Hyperbolic complex numbers in four dimensions; ; 3.2.1 Operations with hyperbolic fourcomplex numbers; 3.2.2 Geometric representation of hyperbolic fourcomplex numbers; 3.2.3 Exponential form of a hyperbolic fourcomplex number; 3.2.4 Elementary functions of a hyperbolic fourcomplex variable; 3.2.5 Power series of hyperbolic fourcomplex variables; 3.2.6 Analytic functions of hyperbolic fourcomplex variables; 3.2.7 Integrals of functions of hyperbolic fourcomplex variables; 3.2.8 Factorization of hyperbolic fourcomplex polynomials; 3.2.9 Representation of hyperbolic fourcomplex numbers by irreducible matrices; ; 3.3 Planar complex numbers in four dimensions; ; 3.3.1 Operations with planar fourcomplex numbers. ; 3.3.2 Geometric representation of planar fourcomplex numbers; 3.3.3 The planar fourdimensional cosexponential functions; 3.3.4 The exponential and trigonometric forms of planar fourcomplex numbers; 3.3.5 Elementary functions of planar fourcomplex variables; 3.3.6 Power series of planar fourcomplex variables; 3.3.7 Analytic functions of planar fourcomplex variables; 3.3.8 Integrals of functions of planar fourcomplex variables; 3.3.9 Factorization of planar fourcomplex polynomials; 3.3.10 Representation of planar fourcomplex numbers by irreducible matrices; ; 3.4 Polar complex numbers in four dimensions; ; 3.4.1 Operations with polar fourcomplex numbers; 3.4.2 Geometric representation of polar fourcomplex numbers; 3.4.3 The polar fourdimensional cosexponential functions. ; 3.4.4 The exponential and trigonometric forms of a polar fourcomplex number; 3.4.5 Elementary functions of polar fourcomplex variables; 3.4.6 Power series of polar fourcomplex variables; 3.4.7 Analytic functions of polar fourcomplex variables; 3.4.8 Integrals of functions of polar fourcomplex variables; 3.4.9 Factorization of polar fourcomplex polynomials; 3.4.10 Representation of polar fourcomplex numbers by irreducible matrices.; ; 4 Complex Numbers in 5 Dimensions; ; 4.1 Operations with polar complex numbers in 5 dimensions; 4.2 Geometric representation of polar complex numbers in 5 dimensions; 4.3 The polar 5-dimensional cosexponential functions; 4.4 Exponential and trigonometric forms of polar 5-complex numbers; 4.5 Elementary functions of a polar 5-complex variable; 4.6 Power series of 5-complex numbers. ; 4.7 Analytic functions of a polar 5-complex variable; 4.8 Integrals of polar 5-complex functions; 4.9 Factorization of polar 5-complex polynomials; 4.10 Representation of polar 5-complex numbers by irreducible matrices; ; 5 Complex Numbers in 6 Dimensions; ; 5.1 Polar complex numbers in 6 dimensions; ; 5.1.1 Operations with polar complex numbers in 6 dimensions; 5.1.2 Geometric representation of polar complex numbers in 6 dimensions; 5.1.3 The polar 6-dimensional cosexponential functions; 5.1.4 Exponential and trigonometric forms of polar 6-complex numbers; 5.1.5 Elementary functions of a polar 6-complex variable; 5.1.6 Power series of polar 6-complex numbers; 5.1.7 Analytic functions of a polar 6-complex variable; 5.1.8 Integrals of polar 6-complex functions. ; 5.1.9 Factorization of polar 6-complex polynomials; 5.1.10 Representation of polar 6-complex numbers by irreducible matrices; ; 5.2 Planar complex numbers in 6 dimensions; ; 5.2.1 Operations with planar complex numbers in 6 dimensions; 5.2.2 Geometric representation of planar complex numbers in 6 dimensions; 5.2.3 The planar 6-dimensional cosexponential functions; 5.2.4 Exponential and trigonometric forms of planar 6-complex numbers; 5.2.5 Elementary functions of a planar 6-complex variable; 5.2.6 Power series of planar 6-complex numbers; 5.2.7 Analytic functions of a planar 6-complex variable; 5.2.8 Integrals of planar 6-complex functions; 5.2.9 Factorization of planar 6-complex polynomials. ; 5.2.10 Representation of planar 6-complex numbers by irreducible matrices.; ; 6 Commutative Complex Numbers in n Dimensions; ; 6.1 Polar complex numbers in n dimensions; ; 6.1.1 Operations with polar n-complex numbers; 6.1.2 Geometric representation of polar n-complex numbers; 6.1.3 The polar n-dimensional cosexponential functions; 6.1.4 Exponential and trigonometric forms of polar n-complex numbers; 6.1.5 Elementary functions of a polar n-complex variable; 6.1.6 Power series of polar n-complex numbers; 6.1.7 Analytic functions of polar n-complex variables; 6.1.8 Integrals of polar n-complex functions; 6.1.9 Factorization of polar n-complex polynomials; 6.1.10 Representation of polar n-complex numbers by irreducible matrices; ; 6.2 Planar complex numbers in even n dimensions. ; ; 6.2.1 Operations with planar n-complex numbers; 6.2.2 Geometric representation of planar n-complex numbers; 6.2.3 The planar n-dimensional cosexponential functions; 6.2.4 Exponential and trigonometric forms of planar n-complex numbers; 6.2.5 Elementary functions of a planar n-complex variable; 6.2.6 Power series of planar n-complex numbers; 6.2.7 Analytic functions of planar n-complex variables; 6.2.8 Integrals of planar n-complex functions; 6.2.9 Factorization of planar n-complex polynomials; 6.2.10 Representation of planar n-complex numbers by irreducible matrices; Bibliography; Index; ; ;
• Publisher Details: Place of publication not identified : North Holland
• Publication Date: 2002
• Extent: 1 online resource (286 pages)
• Subjects: 512; Numbers, Complex; Numbers, Complex
• Languages: English
• ISBNs: 9780080529585; 0080529585
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.