Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici latissimo sensu accepti

By Leonhard Euler. 2013

638 citations recorded by the source corpus.

This translation has been withdrawn due to certain imperfections and mistakes, which are corrected in the version uploaded at The Euler Archive (see E65 at this http URL)

Subfields: Computational Mechanics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/5c114e2e85cf18af36ab9e5f19299efe3f26c9f5

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In Computational Mechanics

In Geometry and Topology

Citations in the corpus

Modeling and analysis of functionally graded sandwich beams: a review (2019, methodology): “Theoretical formulations of FG beam are based on classical beam theory (CBT) of Bernoulli–Euler [44, 45], first-order shear deformation theory (FSDT) of Timoshenko [46] or HSDTs.”
Introduction to Tensor Analysis and the Calculus of Moving Surfaces (2013, methodology): “Leonhard Euler laid the foundation for this subject in 1744 in the celebrated work entitled The method of finding plane curves that show some property of maximum and minimum [12].”
Data Assimilation for Numerical Weather Prediction: A Review (2009, methodology): “If the optimal U minimizes J , then it satisfies the Euler equations given by ∇J(U) = 0 (86) where ∇J is the gradient of J with respect to control variables.”
The classical theory of minimal surfaces (2011, background): “Furthermore, if Σ denotes a compact surface of non-positive curvature and M ⊂ Σ × R is a properly embedded minimal surface of finite genus, then M has finite topology, finite index of stability14 and its finite total curvature is equal to 2π times the Euler characteristic of M .”