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?


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.

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    $\begingroup$ 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
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    $\begingroup$ @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

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