2
$\begingroup$

I'm thinking about learning diophantine analysis, it is a subject that seems pretty interesting to me, I have some background on number theory and know the basics about diphantine equations, such as linear diophantine equations or Pell's equation; besides, I've worked with continued fractions and feel comfortable around them; what book would you recommend me to learn more about this subject?

$\endgroup$
3
$\begingroup$

Jorn Steuding, Diophantine Analysis.
Ed Burger, Exploring the Number Jungle: A Journey into Diophantine Analysis.
Ed Burger and Robert Tubbs, Making Transcendence Transparent.
Nigel Smart, The Algorithmic Resolution of Diophantine Equations.

| cite | improve this answer | |
$\endgroup$
  • 1
    $\begingroup$ Thank you very much! I'll look into them! What are the main differences between one book and another? $\endgroup$ – Bruno Andrades May 28 '19 at 23:38
  • $\begingroup$ @Gerry Myerson Yes. Anyone can google "books on diophantine analysis." You should really describe them. $\endgroup$ – Dzoooks May 28 '19 at 23:48
  • $\begingroup$ @Dzoooks, anyone can type those titles and authors into Google and get to the publishers' pages, which will generally have a table of contents and a blurb indicating the level of the book, maybe even a chapter or two freely available; also, Google may lead you to reviews of the books. Maybe you would like to do that, and summarize what you find as an answer here. FWIW, I didn't find those books on Google, I found them in my "office". $\endgroup$ – Gerry Myerson May 29 '19 at 3:11
  • $\begingroup$ @GerryMyerson Your answer isn't helpful. $\endgroup$ – Dzoooks May 29 '19 at 4:53
  • 1
    $\begingroup$ @Dzoooks, you are welcome to edit it to improve it, or to post a better answer yourself. $\endgroup$ – Gerry Myerson May 29 '19 at 9:02

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.