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Uniplanar Kinematics of Solids and Fluids: With Applications to the Distribution and Flow (Classic Reprint)
The present work aims at supplying a deficiency in the course of Mathematical Physics usually pursued by the higher class students .in our Colleges and Universities. In the majority of cases, I think, Nlittle attention is paid to the special study of Kinematics, and, as a consequence, the student enters into the study of Kinetics with somewhat misty...
The present work aims at supplying a deficiency in the course of Mathematical Physics usually pursued by the higher class students .in our Colleges and Universities. In the majority of cases, I think, Nlittle attention is paid to the special study of Kinematics, and, as a consequence, the student enters into the study of Kinetics with somewhat misty notions of acceleration and other leading conceptions which belong to the province of Kinematics. In view of the great progress which has been made in this country in Experimental Physics, under the leadership of Faraday, Thomson, and Clerk Maxwell, it appears to me very desirable to include in the ordinary course of higher mathematics as much as possible of the application of mathematics to physical problems at the expense, no doubt, of its applications to manifest unrealities. Hence a large portion of the work deals with the theory of fluid motion and electric distribution and flow. Anything like a complete treatise on general (or three-dimensional) Kinematics would be a much more difficult task, and would be addressed to a very limited class of students. When, however, the leading results for motion in one plane are properly mastered, the student will have little difficulty in understanding what they become when a third co-ordinate is introduced. Thus much as to the general aim of the work. The subjects treated of call for a few special remarks. In Chapter I considerable attention is devoted to the Instantaneous Centre (of velocities), and in Chapter II much prominence is given to the Instantaneous Acceleration Centre, with the accompanying Centrodes, some results with regard to which will probably be new to most readers. Applications of these results are made to several problems, the solutions of which are thus simplified. Professor Wolstenholme kindly placed his Book of Mathematical Problems at my disposal, (Typographical errors above are due to OCR software and don't occur in the book.)
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