Eckhard Hitzer
Quaternion and Clifford Fourier Transforms
Quaternion and Clifford Fourier Transforms
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Excellent- More about Quaternion and Clifford Fourier Transforms
The book "Quaternion and Clifford Fourier Transforms" is a comprehensive guide to the development of quaternion and Clifford Fourier transforms in Clifford (geometric) algebra over the past 30 years. It covers topics such as Clifford and quaternion algebra, geometric differential calculus, and quaternion and Clifford Fourier transforms, making it suitable for graduate students and researchers in pure and applied mathematics, physics, and engineering.
Format: Hardback
Length: 452 pages
Publication date: 22 September 2021
Publisher: Taylor & Francis Ltd
Over the past 30 years, Clifford (geometric) algebra has seen the development of quaternion and Clifford Fourier transforms. This comprehensive and self-contained book is the first to delve deeply into this exciting new field of pure and applied mathematics.
The book begins with a historical overview, followed by chapters on Clifford and quaternion algebra and geometric (vector) differential calculus (part of Clifford analysis). The heart of the book consists of two chapters on quaternion Fourier transforms and one on Clifford Fourier transforms. These core chapters, along with their sections on more specialized topics, are relatively self-contained, allowing readers with a basic understanding of quaternions and Clifford algebra to start reading directly from the chapter and section of their interest without having to frequently flip back and forth.
The topics covered are of fundamental interest to pure and applied mathematicians, physicists, and engineers (signal and color image processing, electrical engineering, computer science, computer graphics, artificial intelligence, geographic information science, aerospace engineering, navigation, etc.).
Features:
Intuitive real geometric approach to higher-dimensional Fourier transformations
Comprehensive reference suitable for graduate students and researchers
Includes detailed definitions, properties, and many full step-by-step proofs
Many figures and tables, a comprehensive biography, and a detailed index make it easy to locate information
Weight: 1052g
Dimension: 183 x 261 x 35 (mm)
ISBN-13: 9780367774660
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