{"product_id":"calculus-of-variations","title":"Calculus of Variations","description":"\u003cp\u003eTopics in this product include deriving the Euler-Lagrange equation, special cases and the Beltrami identity, the brachistochrone problem, constrained problems with Lagrange multipliers, and systems of Euler-Lagrange equations.\u003c\/p\u003e\u003cp\u003eThis is a 8-page PDF scan of handwritten notes, featuring clickable PDF bookmarks so you can jump straight to any page in a PDF viewer such as Adobe Acrobat. Complete page-by-page contents can be found below so you know exactly what's inside before you buy.\u003c\/p\u003e","brand":"Aeroemilia","offers":[{"title":"Default Title","offer_id":58591184716107,"sku":"MTH-COV","price":2.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1083\/5774\/7019\/files\/calculus-of-variations-1-cover.jpg?v=1790609892","url":"https:\/\/aeroemilia.com\/products\/calculus-of-variations","provider":"aeroemilia","version":"1.0","type":"link"}