How to Prove it by George Pólya gave me good foundations and perspective on mathematical problem solving. The Mathematical Experience by Davis and Hersh was a fascinating introduction to the way mathematicians think and their perspective on mathematical challenges.
Just be warned that classics like the Mathematical Experience and Men of Mathematics by E.T. Bell tend to give a romanticized view of mathematical research, with anecdotes mostly by high profile mathematicians doing high profile mathematics, and with up-to-20th Century perspectives that don't always hold up.
Comments
How to Prove it by George Pólya gave me good foundations and perspective on mathematical problem solving. The Mathematical Experience by Davis and Hersh was a fascinating introduction to the way mathematicians think and their perspective on mathematical challenges.
Just be warned that classics like the Mathematical Experience and Men of Mathematics by E.T. Bell tend to give a romanticized view of mathematical research, with anecdotes mostly by high profile mathematicians doing high profile mathematics, and with up-to-20th Century perspectives that don't always hold up.