Reflexions on the Metaphysical Principles of the Infinitesimal Analysis
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Reflexions on the Metaphysical Principles of the Infinitesimal Analysis

Reflexions on the Metaphysical Principles of the Infinitesimal Analysis


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About the Book

This historic book may have numerous typos, missing text, images, or index. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. 1832. Not illustrated. Excerpt: ... CHAP. I. General principles of the Infinitesimal Analysis. 1. There is no discovery which has produced in the science of Mathematics a change so important and so sudden, as that of the Infinitesimal Analysis: no method has furnished means more simple, or more successful, in promoting our knowledge of the laws of nature. By decomposing bodies (as it may be called) into their elements, it appears to have shewn their inward structure and organization: but as all extremes escape the senses and the imagination, none but an imperfect idea can be formed of these elements; a peculiar species of quantity, which at one time bear the character of real quantities, at another must be treated as absolutely nothing, and which seem by their equivocal properties to hold a middle rank between magnitude and zero, between existence and non-existence * I am here speaking in conformity to the vague ideas that are commonly formed of quantities called Infinitesimals, when no pains have been taken to ascertain their nature: but, in reality, nothing is more simple than the exact idea of this sort of quantities., Fortunately this difficulty has not impeded the progress of the discovery: there are certain primitive ideas which always leave some obscurity in the mind, but which, when their first deductions have once been made, open a field both extensive, and free from obstacles. Such we have seen to be the idea of infinity; and many geometricians, who never perhaps had investigated it, have made the most fortunate application of that idea: philosophers, however, could not content themselves with a notion so vague; they have been desirous of returning to principles, but they have found themselves divided in their opinions, or rather in their manner of regarding the objects of thei...


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Product Details
  • ISBN-13: 9780217208482
  • Publisher: General Books
  • Publisher Imprint: General Books
  • Height: 246 mm
  • No of Pages: 28
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 0217208487
  • Publisher Date: 01 Jan 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 68 gr


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