The Heaviside Operational Calculus: The Laplace Transform for Electrical Engineers - Couverture souple

Staines, Mr Jeremy

Couverture souple

ISBN 10 : 1491225122 ISBN 13 : 9781491225127

Editeur : CreateSpace Independent Publishing Platform, 2013

Synopsis

This is the little-known part of the mathematical history of what we nowadays call the Laplace Transform method of solving differential equations. It is a purely mathematical development of Heaviside's operational methods of electric circuit analysis, which requires of the reader a basic knowledge of differential equations, electric circuit theory, Laplace transforms, some vector analysis, as applied to electromagnetic theory, plus complex variables. I maintain that what we nowadays call the Laplace Transform method ought to be rightly called the Heaviside Transform method, since much of its development was due to Heaviside. The chapter headings are:

• Differential equations: exponential solutions.


• The Heaviside Transform.


• Apportioning magnitudes to the exponential factors.


• Evaluating U11 - T11, and U12 - T12.


• Heaviside's Expansion Theorem.


• Bromwich, and Cauchy's theorem.


• Applications and extensions.


• Laplace and difference equations.

Note:

• An example of the computation of mutual energies is available from: home.lizzy.com.au/jeremy.staines/U0r_T0r_example.pdf This was not included in books printed prior to December 2017.


• A simple computational method for the inversion of Heaviside transforms is also available from home.lizzy.com.au/jeremy.staines/Arithmetical_Inverse_Transforms.pdf


• Various other articles relevant to the Heaviside Operational Calculus are available from: http://home.lizzy.com.au/jeremy.staines/index.html

A propos du livre

Présentation de l'éditeur

This is the little-known part of the mathematical history of what we nowadays call the Laplace Transform method of solving differential equations. It is a purely mathematical development of Heaviside's operational methods of electric circuit analysis which requires of the reader a basic knowledge of differential equations, electric circuit theory, Laplace transforms, some vector analysis, as applied to electromagnetic theory, plus complex variables.I maintain that what we nowadays call the Laplace Transform method, ought to be rightly called the Heaviside Transform method, since much of its development was due to Heaviside.Note: an example of the computation of mutual energies is available from home.lizzy.com.au/jeremy.staines/U0r_T0r_example.pdf This was not included in books printed prior to December 2017.

Présentation de l'éditeur

This is the little-known part of the mathematical history of what we nowadays call the Laplace Transform method of solving differential equations. It is a purely mathematical development of Heaviside's operational methods of electric circuit analysis which requires of the reader a basic knowledge of differential equations, electric circuit theory, Laplace transforms, and some vector analysis, as applied to electromagnetic theory.

Détails de l'édition

• Éditeur: CreateSpace Independent Publishing Platform
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 1491225122
• ISBN 13: 9781491225127
• Reliure: Broché
• Numéro d'édition: 2
• Nombre de pages: 56
• Coordonnées du fabricant: non disponible