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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 Ecole 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.
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