The Early Period of the Calculus of Variations

This monograph explores the early development of the calculus of variations in continental Europe during the Eighteenth Century by illustrating the mathematics of its founders. Closely following the original papers and correspondences of Euler, Lagrange, the Bernoullis, and others, the reader is imm...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Freguglia, Paolo (Autor), Giaquinta, Mariano (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edición:1st ed. 2016.
Temas:
Mathematics.
History.
Mathematical optimization.
Calculus of variations.
History of Mathematical Sciences.
Calculus of Variations and Optimization.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • Some Introductory Material
  • The Brachystochrone Problem: Johann and Jakob Bernoulli
  • Isoperimetrical Problems: Jakob and Johann Bernoulli
  • Shortest Lines and Geodesics
  • Euler's Memoirs of 1738 and 1741
  • Euler's Method us Inveniendi
  • Lagrange's δ-Calculus
  • Bibliography
  • Index of Names
  • Subject Index.

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