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I have started studying discrete geometry. And I need some good suggestions on discrete geometry books. I am looking for something rigorous with a lot of solved examples (if possible). Some books that I am following right now are

  1. Lectures on Discrete and Polyhedral Geometry by Igor Pak (found it a little bit advanced)
  2. Lectures on Discrete Geometry Textbook by Jiří Matoušek.

Thanks in advance.

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    $\begingroup$ You should ask your instructor for some recommendations. $\endgroup$
    – Calvin Lin
    Nov 1, 2020 at 17:12
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    $\begingroup$ You are going to need the basics of abstract algebra as well (which is true of just about any graduate-level math course). $\endgroup$
    – Paul Sinclair
    Nov 2, 2020 at 2:14
  • $\begingroup$ @PaulSinclair Thanks. Could you suggest some introductory books for the same. $\endgroup$
    – Logo
    Nov 2, 2020 at 2:43
  • $\begingroup$ @CalvinLin Thank you for the comment. Our instructor suggested Lectures on Discrete and Polyhedral Geometry by IgorPak. It starts with helly's theorem without any other introduction ( and I find it difficult to understand since I have no proper background). And I'm getting confused about how to prove any problems using any specific theorem. So I need a more introductory book that has some problems and solutions. $\endgroup$
    – Logo
    Nov 2, 2020 at 2:49
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    $\begingroup$ I wouldn't go that far. Pretty much any intro to abstract algebra book will have the information you need. Indeed, It may even been covered adequately in the Discrete Geometry book intro chapters. You mostly need to understand Groups. What they are and basic properties/constructions - particularly quotient groups. Again, this is needed for pretty much any grad math course. Algebras, fields, and modules may also be useful, but not as much as groups. Only the basics - you are unlikely to need Sylow theorems or Galois theory. $\endgroup$
    – Paul Sinclair
    Nov 2, 2020 at 17:31

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Try Matthias Beck, Sinai Robins: Computing the Continuous Discretely. This is an extremely well-written book for undergraduates.

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