Algebra, Vol. 1: An Elementary Text-Book for the Higher Classes of Secondary Schools and for Colleges (Classic Reprint) - Couverture souple

Chrystal, George

Couverture souple

ISBN 10 : 1330260163 ISBN 13 : 9781330260166

Editeur : Forgotten Books, 2017

Synopsis

Excerpt from Algebra, Vol. 1: An Elementary Text-Book for the Higher Classes of Secondary Schools and for Colleges

IN this Edition considerable alterations have been made in chapter xii. In particular, the proof of the theorem that every integral equation has a root has been amplified, and also illustrated by graphical considerations.

An Appendix has been added dealing with the general algebraic solution of Cubic and Biquadratic Equations; with the reducibility of equations generally; and with the possibility of solution by means of square roots. As the theorems established have interesting applications in Ele mentary Geometry, it is believed that they may find an appropriate place in an Elementary work on Algebra.

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A propos du livre

Présentation de l'éditeur

The work on Algebra of which this volume forms the first part, is so far elementary that it begins at the beginning of the subject. It is not, however, intended for the use of absolute beginners. The teaching of Algebra in the earlier stages ought to consist in a gradual generalisation of Arithmetic; in other words, Algebra ought, in the first instance, to be taught as Arithmetica Universalis in the strictest sense. I suppose that the student has gone in this way the length of, say, the solution of problems by means of simple or perhaps even quadratic equations, and that he is more or less familiar with the construction of literal formulae, such, for example, as that for the amount of a sum of money during a given term at simple interest Then it becomes necessary, if Algebra is to be anything more than a mere bundle of unconnected rules, to lay down generally the three fundamental laws of the subject, and to proceed deductively in short, to introduce the idea of Algebraic Form, which is the foundation of all the modern developments of Algebra and the secret of analytical geometry, the most beautiful of all its applications.

Tags: hence function integral equation roots number equations value values degree functions chap positive real terms root sum system solution form
Category: Mathematics - Algebra

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Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2017
• Langue: anglais
• ISBN 10: 1330260163
• ISBN 13: 9781330260166
• Reliure: Broché
• Nombre de pages: 610
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