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Re:Ask HN: How to Think Like a mathematician? by yesenadam on Sunday January 26, 2020 @07:04PM (#22155786)
Amazing books that are a joy to read:

Polya's How To Solve It is great for 'how to think like a mathematician'.

I love Knuth et al's Concrete Mathematics. Discrete maths plus jokes in the margins.

Stillwell's Mathematics and its History - meet the main strands of mathematics, their origins, and the great mathematicians.

Needham's Visual Complex Analysis - complex functions, differentiation & integration, Möbius transformations, hyperbolic geometry, vector fields etc - explained with a lot of pictures.

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