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Titlebook: Real Quaternionic Calculus Handbook; João Pedro Morais,Svetlin Georgiev,Wolfgang Sprößi Textbook 2014 Springer Basel 2014 quaternion analy

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发表于 2025-3-21 16:22:41 | 显示全部楼层 |阅读模式
书目名称Real Quaternionic Calculus Handbook
编辑João Pedro Morais,Svetlin Georgiev,Wolfgang Sprößi
视频video
概述Gives a brief introduction in the algebra, geometry and elementary analysis of quaternions and quaternion functions.Presents solutions or hints for the solution of 150 problems, and supplementary exer
图书封面Titlebook: Real Quaternionic Calculus Handbook;  João Pedro Morais,Svetlin Georgiev,Wolfgang Sprößi Textbook 2014 Springer Basel 2014 quaternion analy
描述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 thebook 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 d
出版日期Textbook 2014
关键词quaternion analysis; quaternion elementary functions; quaternion matrices; quaternion operations; quater
版次1
doihttps://doi.org/10.1007/978-3-0348-0622-0
isbn_softcover978-3-0348-0621-3
isbn_ebook978-3-0348-0622-0
copyrightSpringer Basel 2014
The information of publication is updating

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发表于 2025-3-21 23:18:12 | 显示全部楼层
https://doi.org/10.1007/978-3-0348-0622-0quaternion analysis; quaternion elementary functions; quaternion matrices; quaternion operations; quater
发表于 2025-3-22 00:38:36 | 显示全部楼层
An Introduction to Quaternions,Once we start studying quaternionic analysis we take part in a wonderful experience, full of insights. This ideology is shown, for instance, when we start describing the first results and pursuing the subject, while the amazement lingers on through the elegance and smoothness of the results.
发表于 2025-3-22 05:13:05 | 显示全部楼层
Quaternions and Spatial Rotation,The particularly rich theory of rotations does not need advertising. One can think of a rotation as a transformation in the plane or in space that describes the position and orientation of a three-dimensional rigid body around a fixed point. The first ever study of rotations was published by L. Euler in 1776.
发表于 2025-3-22 10:56:05 | 显示全部楼层
Quaternion Series and Infinite Products,An essential feature of the classical theory of power series is that we can manipulate recurrence relations for power series without necessarily worrying about whether the underlying series converge. In case they do converge, we can extract important information about the recurrence relation that may not otherwise be easily obtainable.
发表于 2025-3-22 14:36:11 | 显示全部楼层
Exponents and Logarithms,The real exponential and logarithmic functions play an important role in advanced mathematics, including applications to calculus, differential equations, and complex analysis. In this chapter we use the properties of quaternions described in the previous chapters to define and study the quaternionic analogues of these functions.
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Textbook 2014rence work. With exercises at the end of each chapter and its straightforward writing style thebook 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 d
发表于 2025-3-23 08:59:04 | 显示全部楼层
João Pedro Morais,Svetlin Georgiev,Wolfgang Sprößigpture both reductions and increments in environmental quality and natural resources. This first attempt to transfer environmental values seems to be the calculation of lost recreational value from the Hell’s Canyon hydroelectric project more than 30 years ago, as described by John V. Krutilla and An
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