Fun, Beautiful Maths book recommendations

AI Thread Summary
The discussion centers on seeking recommendations for engaging and accessible mathematics books that cover topics not typically taught at the school or undergraduate levels. The requester emphasizes a preference for books that are friendly and readable, steering clear of standard subjects like differential equations or calculus. Notable examples mentioned include "Visual Complex Analysis" by Tristan Needham, praised for its simplicity and beauty, and "Cauchy-Schwarz Inequalities" by Michael Steele, which offers a masterclass in mathematical inequalities. "Concrete Mathematics" by Graham Knuth and Patashnik is also highlighted for its unique treatment of foundational concepts. The conversation invites further suggestions and clarifications on the type of books desired, including inquiries about the nature of "A Certain Ambiguity: A Mathematical Novel" by Gaurav Suri and Hartosh Singh Bal, which is noted for its thought-provoking ideas despite being a challenging read.
Maths Absorber
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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 .
 
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Is it a fictional book or more like a textbook ?
 
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/dp/0521406498/?tag=pfamazon01-20
A Course in Mathematics for Students of Physics - Bamberg and Sternberg

https://www.amazon.com/dp/0521269296/?tag=pfamazon01-20
Applied DIfferential Geometry - Burke

https://www.amazon.com/dp/0961408804/?tag=pfamazon01-20
Introduction to Applied Mathematics - Strang

my $0.03
 
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Thanks. I'll definitely check them out.
 
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