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The Early Period of the Calculus of Variations
Langbeschreibung
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 immersed in the challenge of theory building. We see what the founders were doing, the difficulties they faced, the mistakes they made, and their triumphs. The authors guide the reader through these works with instructive commentaries and complements to the original proofs, as well as offering a modern perspective where useful.
Inhaltsverzeichnis
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 d-Calculus.- Bibliography.- Index of Names.- Subject Index.
ISBN-13:
9783319389455
Veröffentl:
2016
Seiten:
293
Autor:
Paolo Freguglia
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
128,39 €*
Lieferzeit: Sofort lieferbar
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