Calculus and Analytical Mechanics in the Age of Enlightenment

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Editorial Reviews

A dozen studies that Fraser (history and philosophy of science and technology, U. of Toronto) wrote and published between 1981 and 1994. They cover the foundations of calculus, the calculation of variations, principles and methods of analytical mechanics, and the theory of elasticity. Among his specific topics are mathematical technique and physical conception in Euler's investigation of the elastica, J. L. Lagrange's early contributions to the principles and methods of mechanics, isoperimetric problems in the variational calculus of Euler and Lagrange, and calculus as algebraic analysis in the 18th century. Reproduced from the original pages. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780860786498
  • Publisher: Ashgate Publishing, Limited
  • Publication date: 8/1/1997
  • Series: Collected Studies Series
  • Pages: 320
  • Product dimensions: 8.82 (w) x 5.91 (h) x 0.91 (d)

Table of Contents

Pt. 1 Calculus
I The Calculus as Algebraic Analysis: some observations on mathematical analysis in the 18th century
II Joseph Louis Lagrange's algebraic vision of the calculus
III Lagrange's analytical mathematics, its Cartesian origins and reception in Comte's positive philosophy
IV The origins of Euler's variational calculus
V J.L. Lagrange's changing approach to the foundations of the calculus of variations
VI Isoperimetric problems in the variational calculus of Euler and Lagrange
Pt. 2 Analytical Mechanics
VII Review of John T. Cannon and Sigalia Dostrovsky's 'The Evolution of Dynamics, Vibration Theory 1687 to 1742'
VIII D'Alembert's principle: the original formulation and application in Jean d'Alembert's Traite de Dynamique
IX J.L. Lagrange's early contributions to the principles and methods of mechanics
X Review 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'
XI Mathematical technique and physical conception in Euler's investigation of the elastica
XII The concept of elastic stress in eighteenth-century mechanics: some examples from Euler
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