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...
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2016, 2016
|
| Edition: | 1st ed. 2016 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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