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Fun, Beautiful Maths book recommendations

  1. Apr 9, 2015 #1
    Hi guys,

    I came across a really interesting thread in the Internet where the author was asking for fun, but serious Maths book recommendations. I saw plenty of excellent books being recommended there and thought I'd start a similar thread over here :)

    Some characteristics of the books should be :
    1. They should be readable and friendly.
    2. They should be dealing with topics that are not commonly taught at the school or undergraduate level.

    I don't want books dealing with very commonly taught topics like differential equations, or Calculus by Spivak, which though elegant is not what I'm looking for.

    Here are some examples of books I liked to make myself clearer :
    1. Visual Complex Analysis by Tristan Needham - I like this book for the simplicity and the sheer beauty of it all.
    2. Cauchy-Scwhartz Inequalities - Micheal Steele - Mathematical inequalities are not a very advanced topic, yes. But, it's also not taught extensively.the author describes this book as a master class where mathematicians come to fine tune their skills, and that's exactly what it is. I loved it.
    3. Concrete Mathematics - Graham Knuth and Patashnik - Again a very readable book. It doesn't deal with mathematics that is very advanced, but then again it gives a very beautiful and new treatment to it.


    I hope this gives you a clear idea. If you have any questions regarding what I'm looking for, you could ask in addition to your recommendations .
     
  2. jcsd
  3. Apr 9, 2015 #2

    Doug Huffman

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  4. Apr 10, 2015 #3
    Is it a fictional book or more like a text book ?
     
  5. Apr 11, 2015 #4

    robphy

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    I think these are fun and friendly... but not an easy read... but definitely filled with thought-provoking beautiful ideas ("that is an interesting way to see it...")

    https://www.amazon.com/Course-Mathematics-Students-Physics-Volume/dp/0521406498
    A Course in Mathematics for Students of Physics - Bamberg and Sternberg

    https://www.amazon.com/Applied-Differential-Geometry-William-Burke/dp/0521269296
    Applied DIfferential Geometry - Burke

    https://www.amazon.com/Introduction-Applied-Mathematics-Gilbert-Strang/dp/0961408804
    Introduction to Applied Mathematics - Strang

    my $0.03
     
    Last edited by a moderator: May 7, 2017
  6. Apr 11, 2015 #5
    Thanks. I'll definitely check them out.
     
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