I find it hard to believe that there are no better solutions, esp. in London—do you really think London offers it’s inhabitants so little? By far less than remote districts in Germany or the US?
Conc. books: A good way to orient is to define the field of one’s interests and to look at the websites of seminars and workshops in good universities on those and related topics. This helps to formulate a few possible learning routes and with some luck you find the sources free online. But if you want to avoid to crash (because low altitude flights of learning always crash into dead ends) , you need to follow Ravi Vakil’s advise: “(mathematics) is so rich and infinite that it is impossible to learn it systematically, and if you wait to master one topic before moving on to the next, you’ll never get anywhere. Instead, you’ll have tendrils of knowledge extending far from your comfort zone. Then you can later backfill from these tendrils, and extend your comfort zone; this is much easier to do than learning “forwards”. (Caution: this backfilling is necessary. There can be a temptation to learn lots of fancy words and to use them in fancy sentences without being able to say precisely what you mean. You should feel free to do that, but you should always feel a pang of guilt when you do.)” BTW, here is a good collection of math related reading tips.
£220/year. I can get books on inter-library loan, but it’s slow and time-consuming.
Partly though it’s that I’m still not convinced I need physical books enough to hurdle these barriers—what sort of books do you have in mind?
I find it hard to believe that there are no better solutions, esp. in London—do you really think London offers it’s inhabitants so little? By far less than remote districts in Germany or the US?
Conc. books: A good way to orient is to define the field of one’s interests and to look at the websites of seminars and workshops in good universities on those and related topics. This helps to formulate a few possible learning routes and with some luck you find the sources free online. But if you want to avoid to crash (because low altitude flights of learning always crash into dead ends) , you need to follow Ravi Vakil’s advise: “(mathematics) is so rich and infinite that it is impossible to learn it systematically, and if you wait to master one topic before moving on to the next, you’ll never get anywhere. Instead, you’ll have tendrils of knowledge extending far from your comfort zone. Then you can later backfill from these tendrils, and extend your comfort zone; this is much easier to do than learning “forwards”. (Caution: this backfilling is necessary. There can be a temptation to learn lots of fancy words and to use them in fancy sentences without being able to say precisely what you mean. You should feel free to do that, but you should always feel a pang of guilt when you do.)” BTW, here is a good collection of math related reading tips.