The teaching and history of mathematics in the United States [Unknown Binding]

Florian Cajori (Author)

Book Description

Publication Date: 1974

This historic book may have numerous typos, missing text or index. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. 1890. Not illustrated. Excerpt: ... IV. THE MATHEMATICAL TEACHING AT THE PRESENT TIME. The mathematical teaching of the last ten years indicates a " rupture" with antiquated traditional methods, and an " alignment with the march of modern thought." As yet the alignment is by no means rectified. Indeed it has but barely begun. The "rupture" is evident from the publication of such works as Newcomb's series of mathematical textbooks, recent publications on the calculus, the appearance of such algebras as those of Oliver, Wait, and Jones, Phillips and Beebe, and Van Velzer and Slichter; of such geometries as Halsted's "Elements" and "Mensuration;" of such trigonometries as Oliver, Wait, and Jones's; of Carll's Calculus of Variations; Hardy's Quaternions; Peck's and Hanus's Determinants; W. B. Smith's Co-ordinate Geometry (employing determinants); Craig's Linear Differential Equations. Determinants and quaternions have thus far generally been offered as elective studies, and have formed a crowning pinnacle of the mathematical courses in colleges. It is certainly very doubtful whether this is their proper place in the course. It seems quite plain that the elements of determinants should form a part of algebra, and should be taught early in the course, in order that they may be used in the study of co-ordinate geometry. What place should be assigned to qua ternions is not quite so plain. Prof. De Volson Wood introduces their elements in his work on co-ordinate geometry. The professors of Cornell have not taught quaternions directly for some years, but are convinced that most students derive more benefit by a mixed course in matrices, vector addition and subtraction, imaginaries, and theory of functions. The early introduction of determinants seems more urgent than that of quaternions. We think, however, ...

--This text refers to the Paperback edition.

Product Details

• Unknown Binding: 400 pages
• Publisher: Scholarly Resources (1974)
• Language: English
• ISBN-10: 0842016732
• ISBN-13: 978-0842016735
• Amazon Best Sellers Rank: #7,670,103 in Books (See Top 100 in Books)

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