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Vector Fields : Vector Analysis Developed through its Application to Engineering and Physics - J.A. Shercliff

Vector Fields

Vector Analysis Developed through its Application to Engineering and Physics

Paperback

Published: 13th June 1977
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A field is a distribution in space of physical quantities of obvious significance, such as pressure, velocity, or electromagnetic influence. This 1977 book was written for any reader who would not be content with a purely mathematical approach to the handling of fields. In letting the mathematical concepts invent themselves out of the need to describe the physical world quantitatively, Professor Shercliff shows how the same mathematical ideas may be used in a wide range of apparently different contexts including electromagnetism, fluid dynamics, nuclear reactor criticality, plasma oscillations and rotational flow. Mathematical methods are explored only far enough to give the interested reader a glimpse of activities that lie beyond, yet the unifying approach to increasingly powerful, generalised ideas at a level not reached in many books on vector analysis at the time. Special features of the book are a wealth of examples of physical interest, and a thorough appendix.

Preface
Vector algebra revisited
Vector algebra applied to electromagnetism
Line and surface integrals
Further applications to electromagnetism
Volume integrals
A crisis in electromagnetic theory
Gradient and divergence, gauges of non-uniformity
Gradient and divergence combined
Four other important partial differential equations
Rotationality and the curl operator in fluid mechanics
The curl operator in electromagnetism
Integrals in fluid mechanics
Appendices
Answers to problems
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521290920
ISBN-10: 0521290929
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 342
Published: 13th June 1977
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.9 x 15.2  x 1.9
Weight (kg): 0.5