What is the best source to learn the calculus of variations and optimization techniques from the very basics upwards?

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Sabeena bk

In the coursera by Duke uty,good explanation of Calculus of variations is included.

For optimization you can start with OR by LR Potti and Optimization for Engineering Design by Kalyanmoy Deb .

Abdulmajeed Mohamad

See the book: Variational Principles of Continuum Mechanics, Fundamentals by

V.L. Berdichevsky. It is good book..

Muhammad Zubair Ahmad

Sabeena which course of duke university specifically?

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