Articles liés à A Treatise on Differential Equations

A Treatise on Differential Equations - Couverture souple

Forsyth Dr, Andrew Russell

 
9783846042571: A Treatise on Differential Equations

Synopsis

Reprint of the original, first published in 1903.

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Présentation de l'éditeur

Mechanics is the science which treats of the effects produced by force acting on material bodies. When the different forces acting on any body counteract each other so that the body remains at rest, the forces are said to be in equiH brium. The consideration of the conditions to which the forces must be subject that this may be the case, is the object of the science of Statics. When these conditions are not fulfilled by the forces, the body will not remain at rest. The investigation of the laws which regulate the motion which takes place, and of the nature of the motion itself, will form the subject of the present treatise. Before we proceed, however, there are certain ideas of which it is necessary to form an accurate conception; and, in order to be definite, we will at present confine our attention to bodies so small that they may without sensible error be treated as geometrical points, but we must at the same time consider them to be possessed of all the properties of matter. This is what must be understood when particles, or material points, or molecules are spoken of. 2. It would be useless to attempt to define space and time. No explanation could in any way render the ideas clearer. The measures of them, on the contrary, require the greatest degree of attention. In Dynamics we are only concerned with linear space, or length, or distance, and this is always to be understood when the term space is used. Now every concrete magnitude must be measured by some definite magnitude of the same kind; thus, space must be measured by space, time by time.
(Typographical errors above are due to OCR software and don't occur in the book.)

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Présentation de l'éditeur

Originally published in 1885. This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies. All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume.

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