I am a big application guy. I am trying to find some book with a lot of applications, proofs, and examples. I am able to read undergraduate real analysis and matrix algebra text. Recently, I am working on Calculus of Variation, Differential Equations and Exterior Differential Forms. Moreover, I want to prepare for my postgraduate work for next year, thus I am wishing if anyone could give me some recommandation on: Introduction of Optimization Introduction of Linear Control Introduction of PDE Introduction of Stochastic Calculus in Fianace Introduction of Time Series Analysis Introduction of Mathematical Foundations of Option Pricing Advance Variational Calculus Advance Exterior Differential Forms Advance Financial Mathematic Advance ODE (heavy emphasis on Existence and Uniqueness) Advace Mathematical Economics (Anything beyond the use of elementary Calculus) If needed, I can give further informations for each topic. Any though will be truely appreciated.