Home : Book details

Geometric Algebra for Electrical Engineers: Multivector electromagnetism free ebook download

Category:
Physics

Views: 1123
Likes: 72

Catalogue

Author(s):	Mr Peeter Joot

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	1987598970
Pages:	284	OCR:		Quality:		ISBN13:
Uploader:	maveriks	Upload Date:	6/11/2021 9:49:26 AM

To download click on link in the Links Table below

Description: Click to see full description

This book introduces the fundamentals of geometric algebra and calculus, and applies those tools to the study of electromagnetism.
Geometric algebra provides a structure that can represent oriented point, line, plane, and volume segments. Vectors, which can be thought of as a representation of oriented line segments, are generalized to multivectors. A full fledged, but non-commutative (i.e. order matters) multiplication operation will be defined for products of vectors. Namely, the square of a vector is the square of its length. This simple rule, along with a requirement that we can sum vectors and their products, essentially defines geometric algebra. Such sums of scalars, vectors and vector products are called multivectors.
The reader will see that familiar concepts such as the dot and cross product are related to a more general vector product, and that algebraic structures such as complex numbers can be represented as multivectors. We will be able to utilize generalized complex exponentials to do rotations in arbitrarily oriented planes in space, and will find that simple geometric algebra representations of many geometric transformations are possible.
Generalizations of the divergence and Stokes theorems are required once we choose to work with multivector functions. There is an unfortunate learning curve required to express this generalization, but once overcome, we will be left with a single powerful multivector integration theorem that has no analogue in conventional vector calculus. This fundamental theorem of geometric calculus incorporates Greens (area) theorem, the divergence theorem, Stokes theorems, and complex residue calculus. Multivector calculus also provides the opportunity to define a few unique and powerful Greens functions that almost trivialize solutions of Maxwells equations.
Instead of working separately with electric and magnetic fields, we will work with a hybrid multivector field that includes both electric and magnetic field contributions, and with a multivector current that includes both charge and current densities. The natural representation of Maxwells equations is a single multivector equation that is easier to solve and manipulate then the conventional mess of divergence and curl equations are familiar to the reader.
This book is aimed at graduate or advanced undergraduates in electrical engineering or physics. While all the fundamental results of electromagnetism are derived from Maxwells equations, there will be no attempt to motivate Maxwells equations themselves, so existing familiarity with the subject is desirable.

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3008385	Book	https://nitro.download/view/5793CC1FB20E...		0.00	maveriks

Tags: Algebra Electrical electromagnetism Engineers Geometric Multivector

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:
Comments

New comment:

Geometric Algebra for Electrical Engineers: Multivector electromagnetism free ebook download

Category: Physics

Description: Click to see full description

Category:
Physics