I would like to really get to know the ins and outs of spaces in general. I would also like knowledge in embedding. My first goal is to make my own space with certain properties I need/want. My second goal would be to take some equation and imbed it in my own space. Unfortunately my math background goes up to PDE's and complex variables. I will have graduate math physics under my belt in the future. I am looking for advice in terms of textbooks and possible math courses I could take. Thanks.