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Logarithm -definition of Logarithm by MedicineWord.com,a Medicine Dictionary

©http://medicineword.com From:http://www.medicineword.com/Logarithm.shtml

logarithm
<mathematics> One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550-1617), to abridge arithmetical calculations, by the use of addition and subtraction in place of multiplication and division.

The relation of logarithms to common numbers is that of numbers in an arithmetical series to corresponding numbers in a geometrical series, so that sums and differences of the former indicate respectively products and quotients of the latter; thus 0 1 2 3 4 Indices or logarithms 1 10 100 1000 10,000 Numbers in geometrical progression Hence, the logarithm of any given number is the exponent of a power to which another given invariable number, called the base, must be raised in order to produce that given number. Thus, let 10 be the base, then 2 is the logarithm of 100, because 10^2 = 100, and 3 is the logarithm of 1,000, because 10^3 = 1,000. Arithmetical complement of a logarithm, the difference between a logarithm and the number ten. Binary logarithms. See Binary. Common logarithms, or Brigg's logarithms, logarithms of which the base is 10; so called from Henry Briggs, who invented them. Gauss's logarithms, tables of logarithms constructed for facilitating the operation of finding the logarithm of the sum of difference of two quantities from the logarithms of the quantities, one entry of those tables and two additions or subtractions answering the purpose of three entries of the common tables and one addition or subtraction. They were suggested by the celebrated German mathematician Karl Friedrich Gauss (died in 1855), and are of great service in many astronomical computations. Hyperbolic, or Napierian, logarithms, those logarithms (devised by John Speidell, 1619) of which the base is 2.7182818; so called from Napier, the inventor of logarithms. Logistic or Proportionallogarithms.

Origin: Gr. Word, account, proportion + number: cf. F. Logarithme.

Source: Websters Dictionary




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Logarithms

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An in-depth examination of the properties, applications, and calculations involving logarithms.

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The Elements of Logarithms

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This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide.

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A Dialogue on Logarithms

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This book presents a fictional dialogue between Pythagoras and his precocious pupil named Bitsy. The topic of the day: Logarithms. The book is intended to help students who need to learn about logarithms in their math class, and attempts to do so in an engaging way.

Some of the most powerful ideas in mathematics have very humble beginnings. Every now and then an invention so profound comes along that those who overlooked it may cry out in disbelief over its sheer brilliance and simplicity. In 1614 a Scotsman named John Napier provided such an invention in the form of a list of numbers he called logarithms.

In order to understand these numbers it is best to first consider the historical context in which they arose. The early 1600’s saw the birth of the Scientific Revolution; In Italy Galileo was conducting his famous experiments regarding the behavior of falling bodies, while in Austria Kepler was poring over thousands of astronomical observations to uncover the laws of planetary motion, and in England William Gilbert published his monumental work arguing that the Earth itself was a great magnet, paving the way towards our modern understanding of electricity and magnetism.

Each of these endeavors and others like them demanded an enormous amount of laborious computations which in some cases consumed years of effort, inevitably distracting their poor victims from more important matters. In fact a growing consensus began to emerge among scientists that a new mathematical tool was desperately needed to aid them with their arithmetical calculations. Relief gratefully arrived via Napier and his table of logarithms.

The notion of a logarithm thus arose out of necessity; to simplify the tedious process of arithmetic. It should be noted that today the calculations presented in this book could be carried out on any pocket calculator in a fraction of a second, but our aim here is to illustrate the basic properties of these logarithms, as they have certainly outgrown their original purpose and are still quite useful today. Near the end we will show how logarithms may be used to solve some real world problems.

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Logarithms and Logarithmic Functions

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TI-30XS Multiview Calculator

[Brand:Texas Instruments][Price:$17.99]

Texas Instruments TI-30XS MultiView Scientific Calculator TI30XSMV Calculators
  • Base Number Calculations - No
  • Case - Protective
  • Catalog Publishing Type - Calculators-Scientific
  • Complex Number Calculations - No
  • Compliance, Standards - RoHS Compliant

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