Mathematical Works of
LAGRANGE

translated and annotated by
Ian Bruce

CONTENTS

Notes will be added here gradually as time permits and the necessity arises.

Book 1


Article 1  : A general method of for determining the max and min of functions of several variables, with examples.


   Article 2  : On the integration of a differential equation by finite differences, which contains the theory of recurring differences.


   Article 3 :Researches into the nature and propagation of sound. Introduction, Ch. 1 & Ch. 2.

Ch.1 is a rather scathing attack on Newton, who was not, I believe, initially discussing sound waves but atmospheric waves. The sound waves are relegated to a Scholium. Ch. 2 is a discussion about waves in strings, referring to d'Alembert's work, as well as that of Euler and Daniel Bernoulli;

Ian Bruce. Aug. 2016 latest revision. Copyright : See notes at bottom of index page;  I reserve the right to publish this translated work in book form. However, if you are a student, teacher, or just someone with an interest, you can copy part or all of the work for personal or educational use only. If you have any useful information regarding this translation, I would appreciate hearing from you. IB.