A Treatise on Isoperimetrical Problems, and the Calculus of Variations (1810)
Kontext: There is another point... and that is the method of demonstration by geometrical figures. In the first solution of Isoperimetrical problems, the Bernoullis use diagrams and their properties. Euler, in his early essays, does the same; then, as he improves the calculus he gets rid of constructions. In his Treatise [footnote: Methodus inveniendi, &c. ], he introduces geometrical figures, but almost entirely, for the purpose of illustration: and finally, in the tenth volume of the Novi Comm. Petrop. as Lagrange had done in the Miscellanea Taurinensea, he expounds the calculus, in its most refined state, entirely without the aid of diagrams and their properties. A similar history will belong to every other method of calculation, that has been advanced to any degree of perfection. <!--Preface p. vii-viii
Robert Woodhouse: Zitate auf Englisch
A Treatise on Isoperimetrical Problems, and the Calculus of Variations (1810)
Kontext: The Authors who write near the beginnings of science, are, in general the most instructive: they take the reader more along with them, shew him the real difficulties, and, which is a main point, teach him the subject, the way by which they themselves learned it.<!--Preface p. v-iv
Preface p. iv-v
A Treatise on Isoperimetrical Problems, and the Calculus of Variations (1810)
A Treatise on Isoperimetrical Problems, and the Calculus of Variations (1810)
A Treatise on Isoperimetrical Problems, and the Calculus of Variations (1810)
Preface p. viii
A Treatise on Isoperimetrical Problems, and the Calculus of Variations (1810)
p, 125
A Treatise on Isoperimetrical Problems, and the Calculus of Variations (1810)
