Which Book on Mathematical Proofs is Perfect for Preparing for Grad School?

[bfd]

I plan on going onto grad school at some point in the near future and I know I could use a ton of work in the area of constructing proofs. What I'm looking for is a book that could shed some light on how this process is approached. That is to say for example maybe how a mathematician would approach constructing a proof or the thought process behind constructing proofs.

i'm considering getting the book Mathematical Thinking: Problem-Solving and Proofs (2nd Edition) by John P. D'Angelo

Any thoughts are always much appreciated

 

[RadiationX]

tonight i just purchased a book titled "how to prove it" from books a million by Daniel J. Velleman i don't know how good it is yet because i haven't delved that far into the book.

 

[loseyourname]

tonight i just purchased a book titled "how to prove it" from books a million by Daniel J. Velleman i don't know how good it is yet because i haven't delved that far into the book.

It's pretty good at what it does (I purchased and read it about a year and a half ago). It's strictly introductory, though. It's designed for someone that has little to no experience actually constructing mathematical proofs.

 

[honestrosewater]

I've heard Polya's "How to Solve It" is good. I just read Solow's "How to Read and Do Proofs", and it was okay. For me, the most helpful way has been to find a great book by a great author on some subject that interests you that contains lots of proofs. Study the masters, as Abel advised. Or get the solutions manual or a Schaum's.

 

[bfd]

Thank you all for the recommendations. I'll be sure to check out some of the titles mentioned. In the end though I may also just take a class at a university by my house that attempts to teach such a topic. I'm dying to get back into the university environment again.