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Quaternion and Clifford Fourier Tran...

Hitzer, Eckhard,

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Quaternion and Clifford Fourier Transforms /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Quaternion and Clifford Fourier Transforms // Eckhard Hitzer.
作者:	Hitzer, Eckhard,
出版者:	Boca Raton, FL :CRC Press, : 2022.,
面頁冊數:	xxi, 452 p. :ill. ;26 cm.
標題:	Quaternions. -
ISBN:	9780367774660

Quaternion and Clifford Fourier Transforms /
Hitzer, Eckhard,

Quaternion and Clifford Fourier Transforms /Eckhard Hitzer. - 1st ed. - Boca Raton, FL :CRC Press,2022. - xxi, 452 p. :ill. ;26 cm.

Includes bibliographical references and index.

Quaternion and Clifford Fourier Transforms describes the development of quaternion and Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years. It is the first comprehensive, self-contained book covering this vibrant new area of pure and applied mathematics in depth. The book begins with a historic overview, followed by chapters on Clifford and quaternion algebra and geometric (vector) differential calculus (part of Clifford analysis). The core of the book consists of one chapter on quaternion Fourier transforms and one on Clifford Fourier transforms. These core chapters and their sections on more special topics are reasonably self-contained, so that readers already somewhat familiar with quaternions and Clifford algebra will hopefully be able to begin reading directly in the chapter and section of their particular interest, without frequently needing to skip 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, aero-space engineering, navigation, etc.). Features Intuitive real geometric approach to higher-dimensional Fourier transformations A 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

ISBN: 9780367774660GBP170

Nat. Bib. No.: GBC198099bnb

Nat. Bib. Agency Control No.: 020234920UkSubjects--Topical Terms:

536600
Quaternions.

LC Class. No.: QA196 / .H58 2022

Dewey Class. No.: 512.5

Quaternion and Clifford Fourier Transforms /
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020 $a 9780367774660 $q (hbk.) : $c GBP170
020 $z 9781032026589 $q (pbk.)
020 $z 9781003184478 $q (ebook)
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035 $a (OCoLC)1240414758
040 $a YDX $b eng $c YDX $d UKMGB $d OCLCO $d OCLCF $d YDXIT $d OCLCQ $d OCLCO
050 # 0 $a QA196 $b .H58 2022
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100 1 $a Hitzer, Eckhard, $e author. $3 3565467
245 1 0 $a Quaternion and Clifford Fourier Transforms / $c Eckhard Hitzer.
250 $a 1st ed.
260 # $a Boca Raton, FL : $b CRC Press, $c 2022.
300 $a xxi, 452 p. : $b ill. ; $c 26 cm.
504 $a Includes bibliographical references and index.
520 # $a Quaternion and Clifford Fourier Transforms describes the development of quaternion and Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years. It is the first comprehensive, self-contained book covering this vibrant new area of pure and applied mathematics in depth. The book begins with a historic overview, followed by chapters on Clifford and quaternion algebra and geometric (vector) differential calculus (part of Clifford analysis). The core of the book consists of one chapter on quaternion Fourier transforms and one on Clifford Fourier transforms. These core chapters and their sections on more special topics are reasonably self-contained, so that readers already somewhat familiar with quaternions and Clifford algebra will hopefully be able to begin reading directly in the chapter and section of their particular interest, without frequently needing to skip 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, aero-space engineering, navigation, etc.). Features Intuitive real geometric approach to higher-dimensional Fourier transformations A 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
650 # 0 $a Quaternions. $3 536600
650 # 0 $a Clifford algebras. $3 535723
650 # 0 $a Fourier analysis. $3 532730