""An Introduction to the Logic of Algebra: With Illustrative Exercises"" is a book written by Ellery Williams Davis and published in 1890. The book is a comprehensive guide to the fundamental principles of algebraic logic, providing readers with a thorough understanding of the subject. The author begins by introducing the basic concepts of algebraic logic and then proceeds to explain the various rules and principles that govern the manipulation of algebraic expressions. The book is filled with numerous illustrative exercises that help readers to practice and apply the concepts they have learned. It is an essential resource for students and professionals alike who are interested in mastering the logic of algebra. The book is written in a clear and concise style, making it accessible to readers of all levels of expertise. Overall, ""An Introduction to the Logic of Algebra: With Illustrative Exercises"" is a valuable resource for anyone looking to improve their understanding of algebraic logic.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world’s literature in affordable, high quality, modern editions, that are true to their original work.
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This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
This book is precisely described by the title, and is mainly the outgrowth of a conviction that the logic of algebra is a very much neglected study. Partly because the processes of algebra are simple and easily taught, partly because both arithmetic and algebra are generally studied for the sake of the processes rather than for the sake of discipline, the reasoning which underlies the processes has come to be very generally slurred over or even absolutely ignored. This fault would be somewhat overcome if geometry were taught; before or along with algebra, so that geometric illustrations could constantly be given of algebraic principles. The conceptions of geometry are less abstract and so more easy to grasp than those of algebra, and the reasoning of geometry is correspondingly more simple. Furthermore, geometry is usually presented as a fixed and settled science received in all its perfection from the hands of the immortal Euclid. The student does not learn one definition of a triangle and then unlearn it for another: is not told that straightness is only a special case of crookedness; that the inside of a circle is only the outside looked at in a peculiar way. A lgebra, on the other hand, shows everywhere traces of its origin and development. Numbers are, first, integral and positive ;afterwards, negative, fractional, incommensurable, imaginary, and double. There is a corresponding series of meanings to the words sum, difference, product, quotient, power, root, and logarithm. Moreover, these extensions of meaning are all more or less arbitrary, and some of them at first sight contradictory.
(Typographical errors above are due to OCR software and don't occur in the book.)
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