On the Study and Difficulties of Mathematics

Released on by Augustus De Morgan
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  • On the Study and Difficulties of Mathematics Book Detail

  • Author : Augustus De Morgan
  • Release Date : 2014-03-05
  • Publisher : Courier Corporation
  • Genre : Mathematics
  • Pages : 308
  • ISBN 13 : 0486155153
  • File Size : 40,40 MB
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On the Study and Difficulties of Mathematics by Augustus De Morgan PDF Summary

Book Description: 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.

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Advanced Problems in Mathematics

Advanced Problems in Mathematics

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This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Ter