---

＜電子ブック＞
Real Quaternionic Calculus Handbook / by João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig

版	1st ed. 2014.
出版者	(Basel : Springer Basel : Imprint: Birkhäuser)
出版年	2014
大きさ	XII, 216 p. 1 illus. in color : online resource
著者標目	*Morais, João Pedro author Georgiev, Svetlin author Sprößig, Wolfgang author SpringerLink (Online service)
件　名	LCSH:Nonassociative rings LCSH:Functions of complex variables LCSH:Discrete mathematics LCSH:Algebras, Linear LCSH:Geometry FREE:Non-associative Rings and Algebras FREE:Functions of a Complex Variable FREE:Discrete Mathematics FREE:Linear Algebra FREE:Geometry
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-0348-0622-0

 類似資料