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On the Study and Difficulties of Mathematics by Augustus De Morgan
One of the twentieth century's great expositors of science offers insights into some of the more neglected aspects of mathematics, particularly among arithmetical notion and its elementary rules, roots and logarithms, and the principles of algebra and geometry. Unabridged republication of the edition published by The Open Court Publishing Company, La Salle, Illinois, 1943.
Table of Contents for On the Study and Difficulties of Mathematics
| Editor’s Note | | Author’s Preface | | I. Introductory Remarks on the Nature and Objects of Mathematics | | II. On Arithmetical Notion | | III. Elementary Rules of Arithmetic | | IV. Arithmetical Reactions | | V. Decimal Fractions | | VI. Algebraical Notion and Principles | | VII. Elementary Rules of Algebra | | VIII. Equations of the First Degree | | IX. On the Negative Sign, etc. | | X. Equations of the Second Degree | | XI. On Roots in General, and Logarithms | | XII. On the Study of Algebra | | XIII. On the Definitions of Geometry | | XIV. On Geometrical Reasoning | | XIV. On Axioms | | XVI. On Proportion | | XVII. Application of Algebra to the Measurement of Lines, Angles, Proportion of Figures, and Surfaces |
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