On the Study and Difficulties of Mathematics
One of the twentieth century's most eminent mathematical writers, Augustus De Morgan enriched his expositions with insights from history and psychology. On the Study and Difficulties of Mathematics represents some of his best work, containing points usually overlooked by elementary treatises, and written in a fresh and natural tone that provides a refreshing contrast to the mechanical character of common textbooks.
Presuming only a knowledge of the rules of algebra and Euclidean theorems, De Morgan begins with some introductory remarks on the nature and objects of mathematics. He discusses the concept of arithmetical notion and its elementary rules, including arithmetical reactions and decimal fractions. Moving on to algebra, he reviews the elementary principles, examines equations of the first and second degree, and surveys roots and logarithms. De Morgan's book concludes with an exploration of geometrical reasoning that encompasses the formulation and use of axioms, the role of proportion, and the application of algebra to the measurement of lines, angles, the proportion of figures, and surfaces.
"1100807856"
On the Study and Difficulties of Mathematics
One of the twentieth century's most eminent mathematical writers, Augustus De Morgan enriched his expositions with insights from history and psychology. On the Study and Difficulties of Mathematics represents some of his best work, containing points usually overlooked by elementary treatises, and written in a fresh and natural tone that provides a refreshing contrast to the mechanical character of common textbooks.
Presuming only a knowledge of the rules of algebra and Euclidean theorems, De Morgan begins with some introductory remarks on the nature and objects of mathematics. He discusses the concept of arithmetical notion and its elementary rules, including arithmetical reactions and decimal fractions. Moving on to algebra, he reviews the elementary principles, examines equations of the first and second degree, and surveys roots and logarithms. De Morgan's book concludes with an exploration of geometrical reasoning that encompasses the formulation and use of axioms, the role of proportion, and the application of algebra to the measurement of lines, angles, the proportion of figures, and surfaces.
43.49 In Stock
On the Study and Difficulties of Mathematics

On the Study and Difficulties of Mathematics

by Augustus De Morgan
On the Study and Difficulties of Mathematics

On the Study and Difficulties of Mathematics

by Augustus De Morgan

eBook

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Overview

One of the twentieth century's most eminent mathematical writers, Augustus De Morgan enriched his expositions with insights from history and psychology. On the Study and Difficulties of Mathematics represents some of his best work, containing points usually overlooked by elementary treatises, and written in a fresh and natural tone that provides a refreshing contrast to the mechanical character of common textbooks.
Presuming only a knowledge of the rules of algebra and Euclidean theorems, De Morgan begins with some introductory remarks on the nature and objects of mathematics. He discusses the concept of arithmetical notion and its elementary rules, including arithmetical reactions and decimal fractions. Moving on to algebra, he reviews the elementary principles, examines equations of the first and second degree, and surveys roots and logarithms. De Morgan's book concludes with an exploration of geometrical reasoning that encompasses the formulation and use of axioms, the role of proportion, and the application of algebra to the measurement of lines, angles, the proportion of figures, and surfaces.

Product Details

ISBN-13: 9780486155159
Publisher: Dover Publications
Publication date: 03/05/2014
Series: Dover Books on Mathematics
Sold by: Barnes & Noble
Format: eBook
Pages: 304
File size: 11 MB
Note: This product may take a few minutes to download.

Table of Contents

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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