Notes on Magneto-Hydrodynamics, Vol. 5 (Classic Reprint): Theory of Maxwell's Equations Without Displacement Current: Theory of Maxwell's Equations Without Displacement Current (Classic Reprint) - Softcover

Blank, A. A.

9781333723811: Notes on Magneto-Hydrodynamics, Vol. 5 (Classic Reprint): Theory of Maxwell's Equations Without Displacement Current: Theory of Maxwell's Equations Without Displacement Current (Classic Reprint)

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ISBN 10: 1333723814 ISBN 13: 9781333723811

Publisher: Forgotten Books, 2018

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Explore the math and methods behind magneto-hydrodynamics and the Maxwell equations without displacement current. This rigorous text presents how potentials, vector decompositions, and harmonic analysis clarify complex electromagnetic problems. It ties abstract theory to practical formulations used in plasma and field studies.

The material focuses on the orthogonal decomposition of vector fields, the role of potentials, and how different boundary and period conditions shape solutions. You’ll see how variational principles, Hilbert space concepts, and planar duality help reveal the structure of Maxwell-like systems and their pre-Maxwell counterparts.

Detailed discussions of irrotational and solenoidal components and their harmonic refinements

How boundary data and period data influence vector potentials and field representations

The connection between three-dimensional theory and two-dimensional harmonic fields

Methods to relate Maxwell solutions to simplified pre-Maxwell models through data omission

Ideal for readers of advanced mathematical physics and applied electromagnetism who want a deeper, formal understanding of field decompositions and boundary-value problems.

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Publisher: Forgotten Books
Publication date: 2018
Language: English
ISBN 10: 1333723814
ISBN 13: 9781333723811
Binding: Paperback
Number of pages: 165

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Notes on Magneto-Hydrodynamics, Vol. 5 (Classic Reprint)

A. A. Blank, K. O. Friedrichs

Published by Forgotten Books, 2018

ISBN 10: 1333723814 ISBN 13: 9781333723811

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Seller: Forgotten Books, London, United Kingdom

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Paperback. Condition: New. Print on Demand. This book introduces an unorthodox yet fundamental mathematical theory applied to fluid magnetics and other areas of electromagnetism - 'pre-Maxwell' or 'truncated' electromagnetic theory. The central concept of pre-Maxwell theory, the electromagnetic field with no displacement current, is presented and investigated. The author discusses in depth the reasons for omitting the displacement current term, the resulting mathematical differences, and the physical consequences. The theory focuses on boundary-value problems and presents a systematic investigation of the topological structure of various physical entities associated with the general electromagnetic field. The author emphasizes the importance of mathematical topology in studying pre-Maxwell theory and electromagnetism; devoting discussion to homology theory of curves and surfaces, duality theorems, and other pertinent topics. This book provides a unique and valuable contribution to electromagnetics and can serve as a useful tool for researchers and professionals working in various areas of electromagnetic theory and fluid magnetics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781333723811_0

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