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Real Quaternionic Calculus Handbook, Qing Jun Hou


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Автор: Qing Jun Hou
Название:  Real Quaternionic Calculus Handbook
ISBN: 9781681175676
Издательство: Gazelle Book Services
Классификация:


ISBN-10: 1681175673
Обложка/Формат: Hardback
Страницы: 274
Вес: 0.00 кг.
Дата издания: 01.01.2017
Серия: Mathematics
Язык: English
Размер: 229 x 152
Читательская аудитория: Postgraduate, research & scholarly
Ключевые слова: Calculus
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Поставляется из: Англии
Описание: A quaternion is a four-element vector that can be used to encode any rotation in a 3D coordinate system. Technically, a quaternion is composed of one real element and three complex elements, and it can be used for much more than rotations. Quaternions provide an alternative measurement technique that does not suffer from gimbal lock. Quaternions are less intuitive than Euler Angles and the math can be a little more complicated. Quaternions find uses in both theoretical and applied mathematics, in particular for calculations involving threedimensional rotations such as in three-dimensional computer graphics, computer vision and crystallographic texture analysis. In practical applications, they can be used alongside other methods, such as Euler angles and rotation matrices, or as an alternative to them, depending on the application. In modern mathematical language, quaternions form a four-dimensional associative normed division algebra over the real numbers, and therefore also a domain. Real Quaternionic Calculus Handbook is a comprehensive guide aims to describe phenomena in special relativity, electrodynamics, spin etc., it has developed into a body of material that relates with many branches of mathematics, such as complex analysis, harmonic analysis, differential geometry, and differential equations.

Real Quaternionic Calculus Handbook

Название: Real Quaternionic Calculus Handbook
ISBN: 3034806213 ISBN-13(EAN): 9783034806213
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book establishes concrete examples rather than general theorems in its exploration of the multifacted subject of real quaternion analysis. The material is presented in a straightforward writing style, with exercises at the end of each chapter.

Spectral Theory on the S-Spectrum for Quaternionic Operators

Автор: Fabrizio Colombo; Jonathan Gantner; David P. Kimse
Название: Spectral Theory on the S-Spectrum for Quaternionic Operators
ISBN: 3030030733 ISBN-13(EAN): 9783030030735
Издательство: Springer
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Цена: 79190.00 T
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Описание: The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monograph.


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