On the Study and Difficulties of Mathematics

On the Study and Difficulties of Mathematics is a classic work by Augustus De Morgan, a prominent mathematician and logician of the 19th century. The book is a collection of essays that explore various aspects of mathematics, including its history, philosophy, and pedagogy. De Morgan discusses the importance of mathematical reasoning and the role of intuition in problem-solving. He also addresses common difficulties that students encounter when studying mathematics, such as the tendency to rely on memorization rather than understanding, and the challenge of grasping abstract concepts. Throughout the book, De Morgan emphasizes the need for clear thinking and logical rigor in mathematics, and he offers practical advice for students and teachers alike. On the Study and Difficulties of Mathematics is a valuable resource for anyone interested in the study of mathematics, from beginners to advanced practitioners.1910. Augustus De Morgan was an important innovator in the field of logic. In addition, he made many contributions to the field of mathematics and the chronicling of the history of mathematics. He writes in the Preface that his object has been to notice particularly several points in the principles of algebra and geometry, which have not obtained their due importance in our elementary works on these sciences. Contents: On Arithmetical Notation; Elementary Rules of Arithmetic; Arithmetical Fractions; Decimal Fractions; Algebraical Notation and Principles; Elementary Rules of Algebra; Equations of the First Degree; On the Negative Sign, etc.; Equations of the Second Degree; On Roots in General, and Logarithms; On the Study of Algebra; On the Definitions of Geometry; On Geometrical Reasoning; On Axioms; On Proportion; and Application of Algebra to the Measurement of Lines, Angles, Proportion of Figures and Surfaces. See other titles by this author available from Kessinger Publishing.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world’s literature in affordable, high quality, modern editions, that are true to their original work.