Computation Rules and Logarithms: With Tables of Other Useful Functions

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Macmillan and Company, 1918 - Logarithms - 73 pages
 

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Page 81 - The best we can say of the work is that it is more interesting than any novel." — Queen's Quarterly. " After having read this admirable work, I take great pleasure in recommending it to all students and teachers of mathematics. The development and progress of mathematics have been traced by a master pen. Every mathematician should procure a copy of this book. The book is written in a clear and pleasing style." — DR. HALSTED, in American Mathematical Monthly. " A scholarship both wide and deep...
Page 82 - A Treatise on Algebra" AMD CHARLES L. HARRINGTON, MA, Head Master of Dr. J. Sack's School for Boys, New York. 1 6mo. Cloth. 9O cents. A thorough and comprehensive High School Arithmetic, containing many good examples and clear, well-arranged explanations. There are chapters on Stocks and Bonds, and on Exchange, which are of more than ordinary value, and there is also a useful collection of miscellaneous examples.
Page xli - For example, if a distance has been measured to the nearest hundredth of an inch, and found to be 205.46 inches, all five of the figures, including the zero, are significant. Similarly, if the measurement had shown the distance to be nearer to 205.40 than to 205.41 or to 205.39, the final zero would be also significant, and should invariably be retained, since its presence serves the most useful purpose of showing that this place of figures had been measured as well as the rest.
Page xli - A significant figure is any digit to denote or signify the amount of the quantity in the place in which it stands. Thus zero may be a significant figure when it is written, not merely to locate the decimal point, but to indicate that the quantity in the place in which it stands is known to be nearer to zero than any other digit.
Page xii - If several numbers are multiplied or divided, a given percentage error in any one of them will produce the same percentage error in the result.
Page vii - ... obtain all the accuracy which the field measurements will yield without wasting time by using more significant figures than are necessary. Professor Silas W. Holman* in the preface to his "Computation Rules and Logarithms" says; — "It would probably be within safe limits to assert that one-half of the time expended in computations is wasted through the use of an excessive number of places of figures, and through failure to employ logarithms." Final results should be carried to as many significant...
Page xxiv - ... numbers add their logarithms. Then look up the antilogarithm of their sum. The fact that numbers may be multiplied by adding their logarithms is the most basic property of logarithms. Example: Multiply 19 by 28: log 19 = 1.2788 log 28 = 1.4472 log product = 2.7260 product = antilog 2.7260 = 532 2. To divide one number by another, subtract the logarithm of the latter from that of the former. Then look up the antilogarithm of the difference. Example: Divide 532 by 28: log 532 = 2.7259 log 28 =...
Page 40 - Natural Sines and Cosines* NOTE. — For cosines use right-hand column of degrees and lower line of tenths. * From " Standard Handbook for Electrical Engineers,
Page xli - If the quantity had been written 205.4 instead of 205.40, the inference would be drawn either that the...
Page xii - In multiplication or division the relative accuracy of the product or quotient cannot exceed that of the factor whose relative accuracy is least.

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