Joot, Peeter

Geometric Algebra for - Electrical Engineers: - Multivector electromagnetism

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ISBN 13:: 9781987598971
author:: Joot, Peeter
format:: Paperback
publisher:: Createspace Independent Publishing Platform
language:: English
Publication Year:: 2019
Pages:: 304
Dimensions:: 22.9 x 15.2 x 1.6 centimetres (0
Genre:: Science, Electromagnetism, ,
Condition:: New
Availability:: Item usually sent within 5 working days

£14.33

Current Stock: 5

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Description

Description

Geometric Algebra for Electrical Engineers Multivector Electromagnetism introduces the fundamental principles of geometric algebra and its application to electromagnetism. This book provides a structured approach to representing oriented segments, including lines, planes, and volumes, using multivectors.

The concept of multivectors extends familiar vector operations, introducing a non-commutative multiplication operation that defines the square of a vector as its length squared. This allows for the representation of complex numbers and enables the utilization of generalized complex exponentials for rotations in arbitrarily oriented planes. The book explores the implications of this new mathematical framework on various geometric transformations.

One of the key benefits of geometric algebra is the derivation of powerful multivector integration theorem, which encompasses Green's theorem, the divergence theorem, Stokes' theorems, and complex residue calculus. This fundamental theorem provides a unified approach to solving problems in electromagnetism, offering a single, powerful solution that has no direct analogue in conventional vector calculus.

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