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1. math.mit.edu › classes › 187.2 Calculus of Variations - MIT Mathematics

   math.mit.edu › classes › 18

   Learn the basics of calculus of variations, the relation of equations to minimum principles, and the examples of one-dimensional, two-dimensional, and time-dependent problems. The notes cover the weak and strong forms, the Euler-Lagrange equation, the complementary energy, and the control theory.

2. Videos

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     6:41

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     Introduction to Calculus of Variations

     9 jul 2017

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     29:27

     youtube.com

     Calculus of variations: Introduction

     10 sept 2017

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     33:19

     youtube.com

     Calculus of variations: Basic concepts-II

     17 sept 2017

     7.1K vistas

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3. warwick.ac.uk › fac › sciIntroduction to the Modern Calculus of Variations

   warwick.ac.uk › fac › sci

   A lecture notes PDF file by Filip Rindler, covering the basics of calculus of variations, convexity, quasiconvexity, polyconvexity and relaxation. The file contains examples, definitions, theorems, proofs and references for each topic.

4. www-users.cse.umn.edu › ~jwcalder › CalculusOfVariationsThe Calculus of Variations - University of Minnesota

   www-users.cse.umn.edu › ~jwcalder › CalculusOfVariations

   The calculus of variations has a wide range of applications in physics, engineering, applied and pure mathematics, and is intimately connected to partial differential equations (PDEs). For example, a classical problem in the calculus of variations is finding the short-est path between two points.

5. www-users.cse.umn.edu › ~olver › ln_The Calculus of Variations

   www-users.cse.umn.edu › ~olver › ln_

   A PDF file of lecture notes on the mathematical analysis of nonlinear minimization problems on infinite-dimensional function spaces. Learn the basic ideas, examples, and applications of the calculus of variations, Euler–Lagrange equations, and boundary conditions.

6. web.stanford.edu › class › math63cmCALCULUS OF VARIATIONS - Stanford University

   web.stanford.edu › class › math63cm

   Learn the basics of calculus of variations, the study of min-max problems for functions. See examples, definitions, theorems, and the Euler-Lagrange equation.

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8. courses.physics.ucsd.edu › 2009 › FallCalculus of Variations - University of California, San Diego

   courses.physics.ucsd.edu › 2009 › Fall

   Calculus of Variations. 1 Functional Derivatives. The fundamental equation of the calculus of variations is the Euler-Lagrange equation d dt ∂f ∂x˙ − ∂f ∂x = 0. There are several ways to derive this result, and we will cover three of the most common approaches.

9. web.stanford.edu › class › math220b7 Calculus of Variations - Stanford University

   web.stanford.edu › class › math220b

   The calculus of variations is a technique in which a partial differential equation can be reformulated as a minimization problem. In the previous section, we saw an example of this