Good list of books for Year 13 about to apply for a BSc in Mathematics [closed]

I was in your position some years ago so I can pass on what I found great reading. Both are very well known classics but as no one mentioned them..

• Enjoyment of mathematics (Rademacher and Toplitz). Amazing book that includes many vignettes on different parts of mathematics. Totally recommend it. I learnt a lot of mathematics from this little book.
• Mathematics:it's content,method and meaning (The Russian giants of math i.e Gelfan'd, Kolmogorov, Aleksandrov, etc) This is one of the best books to read in my opinion. I read the first volume while in high school and it was such an amazing experience. It's a compendium (almost encyclopedic) of articles written by experts about the different branches of mathematics. I'm still reading it to this day. I think the notation is a little bit dated but not terribly so.

I think both of these books will give you a nice coverage of mathematical ideas to play with and discover. After that you can very well jump into what interested you the most, for that search here for recommended bibliography or ask a question if none has. Best of luck!

I was in your position some years ago so I can pass on what I found great reading. Both are very well known classics but as no one mentioned them..

• Enjoyment of mathematics (Rademacher and Toplitz). Amazing book that includes many vignettes on different parts of mathematics. Totally recommend it. I learnt a lot of mathematics from this little book.
• Mathematics:it's content,method and meaning (The Russian giants of math i.e Gelfan'd, Kolmogorov, Aleksandrov, etc) This is one of the best books to read in my opinion. I read the first volume while in high school and it was such an amazing experience. It's a compendium (almost encyclopedic) of articles written by experts about the different branches of mathematics. I'm still reading it to this day. I think the notation is a little bit dated but not terribly so.

I think both of these books will give you a nice coverage of mathematical ideas to play with and discover. After that you can very well jump into what interested you the most, for that search here for recommended bibliography or ask a question if none has. Best of luck!