De Morgan Augustus
David Eugene Smith, Ph.D., LL.D. (1860–1944) was an American mathematician and educator. Born in Cortland, New York, he attended Syracuse University, graduating in 1881 (Ph. D., 1887; LL.D., 1905). He practiced law for some years at his place of birth, then became professor in the Michigan State Normal College in 1891, the principal of the State Normal School at Brockport, N. Y. (1898), and professor of mathematics in Teachers College, Columbia University (1901). Smith wrote a large number of publications of various types. He was editor of the Bulletin of the American Mathematical Society; contributed to other mathematical journals; published a series of textbooks; translated Klein's Famous Problems of Geometry, Fink's History of Mathematics, and the Treviso Arithmetic; edited Augustus De Morgan's Budget of Paradoxes (1915); and wrote:
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trigonometry and double algebra
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the connexion of number and magnitude an attempt to explain the fifth book of e
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trigonometry and double algebra
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the connexion of number and magnitude an attempt to explain the fifth book of e
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syllabus of a proposed system of logic
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This scarce antiquarian book is included in our special Legacy Reprint Series. In the interest of creating a more extensive selection of rare historical book reprints, we have chosen to reproduce this title even though it may possibly have occasional imperfections such as missing and blurred pages, missing text, poor pictures, markings, dark backgrounds and other reproduction issues beyond our control. Because this work is culturally important, we have made it available as a part of our commitment to protecting, preserving and promoting the world's literature.
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statement in answer to an assertion made by sir william hamilton bart profess
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remarks on elementary education in science an introductory lecture delivered a
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on the study and difficulties of mathematics
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THE OBJECT of this Treatise is-(1) To point out to the student of Mathematics, who has not the advantage of a tutor, the course of study which it is most advisable that he should follow, the extent to which he should pursue one part of the science before he commences another, and to direct him as to the sort of applications which he should make. (2) To treat fully of the various points which involve difficulties and which are apt to be misunderstood by beginners, and to describe at length the nature without going into the routine of the operations.No person commences the study of mathematics without soon discovering that it is of a very different nature from those to which he has been accustomed. The pursuits to which the mind is usually directed before entering on the sciences of algebra and geometry, are such as languages and history, etc. Of these, neither appears to have any affinity with mathemat-Table of Contents Editor's Note iii; Author's Preface v; I Introductory Remarks on the Nature and Objects of; Mathematics i; II On Arithmetical Notation n; III Elementary Rules of Arithmetic 20; IV Arithmetical Fractions 30; V Decimal Fractions 42; VI Algebraical Notation and Principles 55; VII Elementary Rules of Algebra 67; VIII Equations of the First Degree 90; IX On the Negative Sign, etc 103; X Equations of the Second Degree 129; XI On Roots in General, and Logarithms 158; XII On the Study of Algebra 175; XIII On the Definitions of Geometry rgi; XIV On Geometrical Reasoning 203; XV On Axioms 231; XVI On Proportion 240; XVII Application of Algebra to the Measurement of Lines,; Angles, Proportion of Figures, and Surfaces 266About the Publisher Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.Forgotten Books' Classic Reprint Series uti
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first notions of logic preparatory to the study of geometry
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essays on the life and work of newton
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Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free. This is an OCR edition with typos. Excerpt from book: APPENDIX I. TO THE THIRD ESSAY (See note I on p. 148.) De Morgan's View Of Leibniz's CHARACTER1 The Leibniz of our day is either the mathematician or the metaphysician. In the first of these two characters he is coupled in the mind of the reader with Newton, as the co-inventor of what was called by himself the Differential Calculus, and by Newton the Method of Fluxions. Much might be instanced which was done by him for the pure sciences in other respects; but this one service, from its magnitude as adiscovery, and its notoriety as the cause of a great controversy, has swallowed up all the rest. 1 [The following is from a biographical sketch entitled '' Leibnitz " which appeared anonymously in the Gallery of Portraits: with Memoirs (vol. vi, 1836, pp. 132-136) which was published by Charles Knight at London under the superintendence of the Society for the Diffusion of Useful Knowledge. We know from Mrs De Morgan's Memoir (p. 108), that this article was by De Morgan. "The Life of Maske- lyne," she says, " is one of a series of lives of Astronomers written by him for the Gallery of Portraits, published by C. Knight two or three years before this time (1839). They are those of Bradley, Delambre, Descartes, Dollond, Euler, Halley, Harrison, W. Herschel, Lagrange, Laplace, Leibnitz, and Maskelyne. They are bound up together, and illustrated in his own way, under the title of ' Mathematical Biography, extracted from the Gallery of Portraits, by Augustus De Morgan, H.O. M.O. P.A.U.C.A.R.U.M. L.I.T.E.R.A.R.U.M.' The letters of his literary tail were only B. A., F. R.A.S., besides those expressing membership of one or two lesser scientific societies. On account of the declaration of belief at that time required by the University, he never took his M.A. degree." On the reference...
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elements of trigonometry and trigonometrical analysis preliminary to the diffe
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elementary illustrations of the differential and integral calculus
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Originally published in 1899. This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies. All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume.
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an explanation of the gnomonic projection of the sphere and of such points of a
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Being A Description Of The Construction And Use Of The Larger And Smaller Maps Of The Stars, As Also Of The Six Maps Of The Earth.
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an essay on probabilities and on their application to life contingencies and i
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A Budget of Paradoxes, Volume I (of II)
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This book was converted from its physical edition to the digital format by a community of volunteers. You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.
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A Budget of Paradoxes, Volume II (of II)
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"Or suppose a line drawn from a given point at 90, and from the same point at 60. Let each of these lines revolve on this point toward each other at an equal ratio. They will become one line at 75, and bisect the curve, which is one-sixth of the entire circle. The result, taking 16 as a diameter, gives an area of 201.072400, and a circumference of 50.2681."The original conception, its natural harmony, and the result, to my own mind is a demonstrative truth, which I presume it right to make known, though perhaps at the hazard of unpleasant if not uncourteous remarks."I have added punctuation: the handwriting and spelling {11} are those of an educated person; the word irreptitious is indubitable. The whole is a natural curiosity.The quadrature and exact area of the circle demonstrated. By Wm. Peters. 8vo. n. d. (circa 1848). --This text refers to an out of print or unavailable edition of this title.
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