Synopses & Reviews
One of the eighteenth century's greatest mathematicians, Lagrange made significant contributions to all fields of analysis and number theory. He survived the French Revolution to deliver these lectures in 1795 at the École Normale, a training school for teachers. An exemplar among elementary expositions, Lagrange's talks feature both originality of thought and elegance of expression.
The five lectures begin with discussions of arithmetic that focus on fractions and logarithms as well as theory and applications. Subsequent talks consider algebra, with emphasis on the resolution of equations of the third and fourth degree, the resolution of numerical equations, and the employment of curves in the solution of problems. Students, teachers, and others with an interest in mathematics will find this volume a unique reading book in mathematics, with fascinating historical and philosophical remarks by a distinguished mathematician.
Synopsis
One of the 18th century's greatest mathematicians, Lagrange made significant contributions to analysis and number theory. He delivered these lectures on arithmetic, algebra, and geometry at the École Normale, a training school for teachers. An exemplar among elementary expositions, they feature both originality of thought and elegance of expression.
Synopsis
One of the 18th century's greatest mathematicians delivered these lectures at a training school for teachers. An exemplar among elementary expositions, they combine original ideas and elegant expression. 1898 edition.
Table of Contents
PrefaceBiographical Sketch of Joseph Louis LagrangeI. On Arithmetic, and in Particular Fractions and LogarithmsII. On the Operations of ArithmeticIII. On Algebra, Particularly the Resolution of Equations of the Third and Fourth DegreeIV. On the Resolution of Numerical EquationsV. On the Employment of Curves in the Solution of ProblemsAppendix