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140203 ||| eng |
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|a 9783034806220
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| 100 |
1 |
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|a Morais, João Pedro
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| 245 |
0 |
0 |
|a Real Quaternionic Calculus Handbook
|h Elektronische Ressource
|c by João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig
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| 250 |
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|a 1st ed. 2014
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| 260 |
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|a Basel
|b Springer Basel
|c 2014, 2014
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| 300 |
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|a XII, 216 p. 1 illus. in color
|b online resource
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| 505 |
0 |
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|a 1 An introduction to quaternions -- 2 Quaternions and spatial rotation -- 3 Quaternion sequences -- 4 Quaternion series and infinite products -- 5 Exponents and logarithms -- 6 Trigonometric functions -- 7 Hyperbolic functions -- 8 Inverse hyperbolic and trigonometric functions -- 9 Quaternion matrices -- 10 Monomials, polynomials and binomials -- 11 Solutions -- Bibliography -- Index
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| 653 |
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|a Combinatorics
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| 653 |
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|a Functions of complex variables
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| 653 |
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|a Rings (Algebra)
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| 653 |
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|a Linear and Multilinear Algebras, Matrix Theory
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| 653 |
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|a Nonassociative rings
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| 653 |
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|a Non-associative Rings and Algebras
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| 653 |
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|a Algebra
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| 653 |
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|a Geometry
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| 653 |
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|a Functions of a Complex Variable
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| 653 |
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|a Matrix theory
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| 653 |
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|a Geometry
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| 653 |
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|a Combinatorics
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| 700 |
1 |
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|a Georgiev, Svetlin
|e [author]
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| 700 |
1 |
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|a Sprößig, Wolfgang
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-0348-0622-0?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 512.48
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| 520 |
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|a Real quaternion analysis is a multi-faceted subject. Created to describe phenomena in special relativity, electrodynamics, spin etc., it has developed into a body of material that interacts with many branches of mathematics, such as complex analysis, harmonic analysis, differential geometry, and differential equations. It is also a ubiquitous factor in the description and elucidation of problems in mathematical physics. In the meantime real quaternion analysis has become a well established branch in mathematics and has been greatly successful in many different directions. This book is based on concrete examples and exercises rather than general theorems, thus making it suitable for an introductory one- or two-semester undergraduate course on some of the major aspects of real quaternion analysis in exercises. Alternatively, it may be used for beginning graduate level courses and as a reference work. With exercises at the end of each chapter and its straightforward writing style the book addresses readers who have no prior knowledge on this subject but have a basic background in graduate mathematics courses, such as real and complex analysis, ordinary differential equations, partial differential equations, and theory of distributions
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