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Cookie akzeptierenMariano Giaquinta / Paolo Freguglia
The Early Period of the Calculus of Variations
- Springer International Publishing
- 2018
- Taschenbuch
- 308 Seiten
- ISBN 9783319817798
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. The authors begin in 1697 with Johann Bernoulli¿s work on the brachystochrone problem
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