I'm interested in working through the book : "Calculus of Variations" by Gelfand and Fomin. However, I lack the pre-requisites to do so (I'm familiar with linear algebra and one-variable calculus only). Could anyone tell me which of these would be the shortest path to mastering the pre-requisites?
- Advanced Calculus - Loomis and Sternberg OR
- Calculus on Manifolds - Michael Spivak along with Hurewicz's Diffrential Equations