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Peeter Joot Geometric Algebra for Electrical Engineers (Paperback)

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Book Title
Geometric Algebra for Electrical Engineers : Multivector Electromagnetism
Publication Name
Geometric Algebra for Electrical Engineers
Title
Geometric Algebra for Electrical Engineers
Subtitle
Multivector electromagnetism
Author
Peeter Joot
Format
Trade Paperback
ISBN-10
1987598970
EAN
9781987598971
ISBN
9781987598971
Publisher
CreateSpace
Genre
Science
Release Date
29/01/2019
Release Year
2019
Language
English
Item Height
0.6in
Item Length
9in
Item Width
6in
Item Weight
13.5 Oz
Publication Year
2019
Topic
Physics / Electromagnetism
Number of Pages
282 Pages

About this product

Product Information

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) mul- tiplication 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 gen- eralization, 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 geo- metric calculus incorporates Green's (area) theorem, the divergence theorem, Stokes' theorems, and complex residue calculus. Multivector calculus also provides the opportunity to define a few unique and powerful Green's functions that almost trivialize solutions of Maxwell's 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 mul- tivector current that includes both charge and current densities. The natural representation of Maxwell's 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 Maxwell's equations, there will be no attempt to motivate Maxwell's equations themselves, so existing familiarity with the subject is desirable.

Product Identifiers

Publisher
CreateSpace
ISBN-10
1987598970
ISBN-13
9781987598971
eBay Product ID (ePID)
26038604131

Product Key Features

Book Title
Geometric Algebra for Electrical Engineers : Multivector Electromagnetism
Author
Peeter Joot
Format
Trade Paperback
Language
English
Topic
Physics / Electromagnetism
Publication Year
2019
Genre
Science
Number of Pages
282 Pages

Dimensions

Item Length
9in
Item Height
0.6in
Item Width
6in
Item Weight
13.5 Oz

Additional Product Features

Target Audience
Trade

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