Calculus and Analytical Mechanics in the Age of Enlightenment

Calculus and Analytical Mechanics in the Age of Enlightenment

by Craig G. Fraser

Product Details

Ashgate Publishing, Limited
Publication date:
Collected Studies Series
Product dimensions:
8.82(w) x 5.91(h) x 0.91(d)

Table of Contents

Pt. 1Calculus
IThe Calculus as Algebraic Analysis: some observations on mathematical analysis in the 18th century
IIJoseph Louis Lagrange's algebraic vision of the calculus
IIILagrange's analytical mathematics, its Cartesian origins and reception in Comte's positive philosophy
IVThe origins of Euler's variational calculus
VJ.L. Lagrange's changing approach to the foundations of the calculus of variations
VIIsoperimetric problems in the variational calculus of Euler and Lagrange
Pt. 2Analytical Mechanics
VIIReview of John T. Cannon and Sigalia Dostrovsky's 'The Evolution of Dynamics, Vibration Theory 1687 to 1742'
VIIID'Alembert's principle: the original formulation and application in Jean d'Alembert's Traite de Dynamique
IXJ.L. Lagrange's early contributions to the principles and methods of mechanics
XReview of Helmut Pulte's 'Das Prinzip der kleinsten Wirkung und die Kraftkonzeptionen der rationalen Mechanik: Eine Untersuchung zur Grundlegungs-problematik bei Leonard Euler, Pierre Louis Moreau de Maupertius and Joseph Louis Lagrange'
XIMathematical technique and physical conception in Euler's investigation of the elastica
XIIThe concept of elastic stress in eighteenth-century mechanics: some examples from Euler

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