3
$\begingroup$

I'm an undergraduate student in Mathematics who has to do a short essay about very basic Trascendental Number theory. In particular, I have to study the proof of trascendence of $e$ and $\pi$, and I was looking for some more advanced theorem to study: unfortunately all the material I find is too advanced/requires too much knowledge about analytic number theory. Do you know some introductive book about this subject/some -not too difficult- result I can study?

Thanks in advance =)

$\endgroup$
1
$\begingroup$
  1. The book https://books.google.co.in/books/about/Transcendental_Numbers.html?id=-4jkAwAAQBAJ&redir_esc=y, where some of the proofs are readable directly and appear to be elementary.

  2. Notes at http://www.math.nus.edu.sg/~urops/Projects/transcendental.pdf for transcendence of $\pi$.

  3. Notes at http://www.math.utk.edu/~freire/m400su06/transcendence%20of%20e.pdf for transcendence of $e$.

  4. Notes of Kannan Soundararajan for both at http://math.stanford.edu/~ksound/TransNotes.pdf covers the two proofs on pages 3 and 4.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.