This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1917 edition. Excerpt: ...moments are, therefore, represented by the first of the two following series (approximately), 0, 1, 2, 3, -., v. The second series represents at the end of corresponding intervals of time very nearly the distances of D' from A'. According to Napier, the numbers in the lower series are approximately the ...
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1917 edition. Excerpt: ...moments are, therefore, represented by the first of the two following series (approximately), 0, 1, 2, 3, -., v. The second series represents at the end of corresponding intervals of time very nearly the distances of D' from A'. According to Napier, the numbers in the lower series are approximately the logarithms of the corresponding numbers in the upper series. Now observe that the lower series is an arithmetical progression and the upper a geometrical progression. It is here that Napier's discovery comes in touch with the work of previous investigators, like Archimedes and Stifel; it is here that the continuity between the old and the new exists. The relation between numbers and their logarithms, which is indicated by the above series, is found, of course, in the logarithms now in general use. The numbers in the geometric series, 1, 10, 100, 1000, have for their common logarithms (to the base 10), the numbers in the arithmetic series, 0, 1, 2, 3. But observe one very remarkable peculiarity of Napier's logarithms: they increase as the numbers themselves decrease and numbers exceeding v have negative logarithms. More over, zero is the logarithm, not of unity (as in modern logarithms), but of v, which was taken by Napier equal to 107. Napier calculated the logarithms, not of successive integral numbers, from 1 upwards, but of sines. His aim was to simplify trigonometric computations. The line AE was the sine of 90 (i.e. of the radius) and was taken equal to 107 units. BE, GE, DE, were sines of arcs, and A'B', A'C', A'D' their respective logarithms. It is evident from what has been said that the logarithms of Napier are not the same as the natural logarithms to the base e = 2.718.... This difference must be emphasized, because it is not..
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Add this copy of A History of Elementary Mathematics With Hints on to cart. $20.46, new condition, Sold by Books2anywhere rated 5.0 out of 5 stars, ships from Fairford, GLOUCESTERSHIRE, UNITED KINGDOM, published 2013 by Hardpress Publishing.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of A History of Elementary Mathematics to cart. $34.49, new condition, Sold by Books2anywhere rated 5.0 out of 5 stars, ships from Fairford, GLOUCESTERSHIRE, UNITED KINGDOM, published 2022 by LEGARE STREET PR.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of A History of Elementary Mathematics With Hints on to cart. $59.40, fair condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1896 by Macmillan.
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Rebound by library. This book has hardback covers. Ex-library, With usual stamps and markings, In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 700grams, ISBN:
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Very Good. No Jacket. 12mo. Has neat inscription of previous owner on first f-fep in black ink, board cover has some fading, otherwise exxcellent condition.
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