A Beginner's Guide to Quadratic Equations - A Selection of Classic Mathematical Articles Containing Examples and Exercises on the Subject of Algebra - Softcover

Various

Softcover

ISBN 10: 1447456890 ISBN 13: 9781447456896

Verlag: Caven Press, 2012

Inhaltsangabe

Every quadratic has two roots, and finding them is the first real hurdle in algebra. Classic mathematical writing takes the newcomer through each method, one worked step at a time.

Gathered from the textbooks and lesson-books of the years around 1900, A Beginner's Guide to Quadratic Equations assembles the lessons that once introduced the topic in schools and evening classes. Factorising, completing the square, and the general formula are each derived and then applied; the nature of the roots is read from the discriminant; and expressions that can be reduced to the quadratic form are handled in turn.

The virtue of these older treatments is their pace. Nothing is assumed, every step is justified, and problems follow each explanation so that the method is learnt by use rather than recited. Details of the source are given for each piece reprinted here, which makes the volume as useful to a reader interested in how mathematics was taught a century ago as to one sitting down to relearn it.

This edition features:

• Lessons on the quadratic form taken from textbooks and lesson-books of the years around 1900
• Factorising, completing the square, and the general formula, each derived and then applied
• The discriminant explained, so the nature of the roots can be read before solving
• Problems after every explanation, with fully worked examples to follow
• Every extract identified by the book it came from, for readers who want to follow it up

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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.

Details zur Ausgabe

• Verlag: Caven Press
• Erscheinungsdatum: 2012
• Sprache: Englisch
• ISBN 10: 1447456890
• ISBN 13: 9781447456896
• Einband: Taschenbuch
• Anzahl der Seiten: 119
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: gpsr@libri.de; gpsr@libri.de; ; Europaallee 1; Bad Hersfeld; 36244; Deutschland