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  • 1
    Online Resource
    Online Resource
    Amsterdam ; Boston : Elsevier
    UID:
    b3kat_BV036962328
    Format: 1 Online-Ressource (xv, 269 p.) , ill , 24 cm
    Edition: 1st ed
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0444511237 , 9780444511232
    Series Statement: North-Holland mathematics studies 190
    Note: Includes bibliographical references (p. 261) and index
    Additional Edition: Reproduktion von Complex numbers in N dimensions 2002
    Language: English
    URL: Volltext  (Deutschlandweit zugänglich)
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    Amsterdam ; : Elsevier,
    UID:
    almafu_9958097449902883
    Format: 1 online resource (286 p.)
    Edition: 1st ed.
    ISBN: 1-281-05479-8 , 9786611054793 , 0-08-052958-5
    Series Statement: North-Holland mathematics studies, 190
    Content: Two distinct systems of hypercomplex numbers in n dimensions are introduced in this book, for which the multiplication is associative and commutative, and which are rich enough in properties such that exponential and trigonometric forms exist and the concepts of analytic n-complex function, contour integration and residue can be defined. The first type of hypercomplex numbers, called polar hypercomplex numbers, is characterized by the presence in an even number of dimensions greater or equal to 4 of two polar axes, and by the presence in an odd number of dimensions of one polar axis.
    Note: Description based upon print version of record. , Cover; Contents; Chapter 1. Hyperbolic Complex Numbers in Two Dimensions; 1.1 Operations with hyperbolic twocomplex numbers; 1.2 Geometric representation of hyperbolictwocomplex 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; Chapter 2. Complex Numbers in Three Dimensions , 2.1 Operations with tricomplex numbers2.2 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; Chapter 3. Commutative Complex Numbers in Four Dimensions; 3.1 Circular complex numbers in four dimensions , 3.2 Hyperbolic complex numbers in four dimensions3.3 Planar complex numbers in four dimensions; 3.4 Polar complex numbers in four dimensions; Chapter 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 functions4.9 Factorization of polar 5-complex polynomials; 4.10 Representation of polar 5-complex numbers by irreducible matrices; Chapter 5. Complex Numbers in 6 Dimensions; 5.1 Polar complex numbers in 6 dimensions; 5.2 Planar complex numbers in 6 dimensions; Chapter 6. Commutative Complex Numbers in n Dimensions; 6.1 Polar complex numbers in n dimensions; 6.2 Planar complex numbers in even n dimensions; Bibliography; Index , English
    Additional Edition: ISBN 0-444-51123-7
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 3
    Book
    Book
    Amsterdam [u.a.] : Elsevier
    UID:
    gbv_347993869
    Format: XV, 269 S , graph. Darst , 24 cm
    Edition: 1. ed.
    ISBN: 0444511237
    Series Statement: North-Holland mathematics studies 190
    Note: Literaturverz. S. 261 , Includes bibliographical references and index
    Additional Edition: Erscheint auch als Online-Ausgabe Olariu, Silviu Complex numbers in N dimensions Amsterdam : Elsevier, 2002 ISBN 0444511237
    Additional Edition: ISBN 9780444511232
    Additional Edition: Online-Ausg. Olariu, Silviu Complex numbers in N dimensions Amsterdam [u.a.] : Elsevier, 2002 ISBN 0444511237
    Additional Edition: ISBN 9780080529585
    Additional Edition: ISBN 0080529585
    Additional Edition: ISBN 9780444511232
    Language: English
    Keywords: Komplexe Zahl ; Dimension n
    Library Location Call Number Volume/Issue/Year Availability
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