Real Quaternionic Calculus Handbook - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Real Quaternionic Calculus Handbook write by João Pedro Morais. This book was released on 2014-01-08. Real Quaternionic Calculus Handbook available in PDF, EPUB and Kindle. 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.
Real Quaternionic Calculus Handbook
Real Quaternionic Calculus Handbook - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Real Quaternionic Calculus Handbook write by Qing Jun Hou. This book was released on 2016-08-01. Real Quaternionic Calculus Handbook available in PDF, EPUB and Kindle. 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.
Towards Intelligent Systems Modeling and Simulation
Towards Intelligent Systems Modeling and Simulation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Towards Intelligent Systems Modeling and Simulation write by Samsul Ariffin Abdul Karim. This book was released on 2021-09-17. Towards Intelligent Systems Modeling and Simulation available in PDF, EPUB and Kindle. This book creates the emergence of disruptive technologies that have led to a significant change in the role of mathematics and statistics for problem solving, with the use of sophisticated software and hardware in solving complex systems and process. In the era of digital technology, mathematics and statistics need to be highly relevant to be able to cater for the needs of IR4.0 such as big data analytics, simulation, autonomous system, and cloud computing. Motivated by this development, a total of 26 chapters are contributed by respectable experts for this book. The main scope of the book is to conduct a new system of modeling and simulations on solving differential equations, nonlinear equations, energy, epidemiology, and risk assessment. This book is of interest for postgraduate students, researchers as well as other scientists who are working in numerical modeling and simulations based on efficient mathematical and statistical techniques.
Real Quaternionic Calculus Handbook
Real Quaternionic Calculus Handbook - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Real Quaternionic Calculus Handbook write by Joao Pedro Morais. This book was released on 2014-01-31. Real Quaternionic Calculus Handbook available in PDF, EPUB and Kindle. 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.
Topics in Clifford Analysis
Topics in Clifford Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topics in Clifford Analysis write by Swanhild Bernstein. This book was released on 2019-10-15. Topics in Clifford Analysis available in PDF, EPUB and Kindle. Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions. The unique starting point of Wolfgang Sprößig’s work was the application of quaternionic analysis to elliptic differential equations and boundary value problems. Over the years, Clifford analysis has become a broad-based theory with a variety of applications both inside and outside of mathematics, such as higher-dimensional function theory, algebraic structures, generalized polynomials, applications of elliptic boundary value problems, wavelets, image processing, numerical and discrete analysis. The aim of this volume is to provide an essential overview of modern topics in Clifford analysis, presented by specialists in the field, and to honor the valued contributions to Clifford analysis made by Wolfgang Sprößig throughout his career.
