Excerpt from Utility of Quaternions in Physics
IT is a curious phenomenon in the History of Mathematics that the greatest work of the greatest Mathematician of the century which prides itself upon being the most enlightened the world has yet seen, has suffered the most chilling neglect.
The cause of this is not at first sight obvious. We have here little to do with the benefit provided by Quaternions to Pure Mathematics. The reason for the neglect here may be that Hamilton himself has developed the Science to such an extent as to make successors an impossibility. One cannot however resist a strong suspicion that were the subject even studied we should hear more from Pure Mathematicians, of Hamilton's valuable results. This reason at any rate cannot be assigned for the neglect'of the Physical side of Quaternions. Hamilton has done but little in this field, and yet when we ask what Mathematical Physicists have been tempted by the bait to win easy laurels (to put the incentive on no higher grounds), the answer must be scarcely one. Prof. Tait is the grand exception to this. But well known Physicist though he be, his fellow-workers for the most part render themselves incapable of appreciating his valuable services by studying the subject if at all only as dilettanti. The number who read a small amount in Quaternions is by no means small, but those who get further than what is recommended by Maxwell as imperatively necessary are but a small percentage of the whole.
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Paperback. Condition: New. Print on Demand. This book presents an exploration into the practicalities of quaternion mathematics as a working tool for physicists. It argues that quaternions are as good as Cartesian geometry as well as being superior in many applications. It shows that quaternions are more elegant than Cartesian equations and provide simpler physical interpretations, giving rise to many new results that Cartesian equations could not produce. The book gives a summary of prior work in the field of elasticity before using quaternions to express stress in terms of strain, the equations of equilibrium, and the variation of temperature. It then considers how to use quaternions in relation to electricity, magnetism, and hydrodynamics. It gives examples of how to apply this to problems such as electrostatics, magnetic induction, the motion of a solid through a liquid, and the vortex-atom theory. The book is an important resource for physicists and mathematicians who wish to explore the use of quaternions in their work. 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 # 9781330308141_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330308141
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330308141
Quantity: 15 available