By Augustus De Morgan

One of the 20 th century's most outstanding mathematical writers, Augustus De Morgan enriched his expositions with insights from historical past and psychology. at the learn and problems of arithmetic represents a few of his top paintings, containing issues often neglected through straightforward treatises, and written in a clean and typical tone that gives a fresh distinction to the mechanical personality of universal textbooks.
Presuming just a wisdom of the foundations of algebra and Euclidean theorems, De Morgan starts off with a few introductory comments at the nature and gadgets of arithmetic. He discusses the idea that of arithmetical idea and its common ideas, together with arithmetical reactions and decimal fractions. relocating directly to algebra, he reports the straightforward rules, examines equations of the 1st and moment measure, and surveys roots and logarithms. De Morgan's publication concludes with an exploration of geometrical reasoning that encompasses the formula and use of axioms, the function of share, and the appliance of algebra to the size of traces, angles, the share of figures, and surfaces.

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