Before the pocket calculator, a table of logarithms did the heavy lifting in every laboratory, drawing office, and counting house. These classic lessons explain how it works.
Drawn from schoolroom and self-instruction texts of the years before the First World War, Logarithms collects the chapters that generations of pupils learnt from. They begin with the idea of an index, show how a positive number can be written as a power of a fixed base, and go on to the laws that turn multiplication into addition and division into subtraction. The common and natural systems are both covered, along with the use of tables, interpolation, and the reading of characteristic and mantissa.
The topic is still taught in every school, and these older treatments are unusually patient with the beginner: each law is derived rather than announced, and each section ends with problems to work through. The pieces are reprinted with details of the material they came from.
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JOSEPH ADDISON How shall I bring to your mind the time and distance that separate us from the Age of Fable? Think of what seemed to you the longest week of your life. Think of fifty-two of these in a year; then think of two thousand five hundred years and try to realize that Aesop-sometimes called the Eighth Wise Man-lived twenty-five centuries ago and made these wonderful tales that delight us to-day. Shakespeare is even yet something of a mystery, although he was born in our own era, less than five hundred years ago; but men are still trying to discover any new facts of his life that might better explain his genius. A greater mystery is grand old Homer, who has puzzled the world for centuries. Scholars are not certain whether the "Iliad" or "Odyssey" are the work of one or more than one mind. Who can say? for the thrilling tales were told-probably after the fashion of all the minstrels of his day-more than eight hundred years before Christ. On the background of that dim distant long ago, perhaps two hundred years later than Homer, looms the magnificent figure of another mysterious being-Aesop the Greek slave. Wherever and whenever he lived, and whether, in fact, he ever lived at all, he seems very real to us, even though more than two thousand years have passed. Among all the stories that scholars and historians have told of him-sifting through the centuries the true from the false-we get a vivid picture of the man. He was born in Greece, probably in Phrygia, about 620 years before Christ. He had more than one master and it was the last, Iadmon, who gave him his liberty because of his talents and his wisdom. The historian Plutarch recounts his presence at the court of Croesus, King of Lydia, and his meeting Thales and Solon there, telling us also that he reproved the wise Solon for discourtesy toward the king. Aesop visited Athens and composed the famous fable of Jupiter and the Frogs for the instruction of the citizens. Whether he left any written fables is very uncertain, but those known by his name were popular in Athens when that city was celebrated throughout the world for its wit and its learning. Both Socrates and Plato delighted in them; Socrates, we read, having amused himself during the last days of his life with turning into verse some of Aesop's "myths" as he called them.
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