Top 20 Must-Read Mathematics Books for the Curious Layman

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In summary, here is a list of top 20 mathematics books that are highly recommended for the layman:- A 4-volume collection of essays and articles by and about mathematicians, edited by James R. Newman.- "What is Mathematics?" by Courant and Robbins.- "A Mathematician's Apology" by G.H. Hardy.- "Roads to Infinity" by John C. Slater.- "Gödel, Escher, Bach: An Eternal Golden Braid" by Douglas R. Hofstadter.- "The Mathematical Experience" by Philip J. Davis and Reuben Hersh.- "Visions of Infinity: The Great Mathematical Problems" by Ian Stewart.- "Gödel's
  • #1
matqkks
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What are the top 20 mathematics books to read before you die? I not looking for classicals like Principlia Mathematica. Just books that are very enlightening and readable for the layman.
 
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  • #2
"For the layman"? Are we ruling out books written for mathematicians?
 
  • #3
https://www.amazon.com/dp/0486432688/?tag=pfamazon01-20, a 4-volume collection of essays and articles by and about mathematicians, edited by James R. Newman. My parents bought the original boxed hardbound set when I was a kid, and I spent a lot of time with it. Here's the http://www.project2061.org/publications/rsl/online/Tradebks/TOCS/WORLMATH.HTM.
 
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  • #4
I like "What is Mathematics?" by Courant and Robbins.
 
  • #5
Not exactly a math book, but I like "A Mathematician's Apology" by G.H. Hardy.
 
  • #6
Stephen Tashi said:
"For the layman"? Are we ruling out books written for mathematicians?
No. It could even be textbook.
 
  • #7
matqkks said:
Just books that are very enlightening and readable for the layman.
Here is my list:
https://www.amazon.com/dp/0395929687/?tag=pfamazon01-20

https://www.amazon.com/dp/0486296644/?tag=pfamazon01-20
[URL]https://www.amazon.com/dp/B0073X0IKO/?tag=pfamazon01-20[/URL]+think&pebp=1418386758657
https://www.amazon.com/dp/B0073X0IKO/?tag=pfamazon01-20 think&pebp=1418386758657[/URL]
[URL]https://www.amazon.com/dp/048669609X/?tag=pfamazon01-20[/URL]+foundations&pebp=1418386809861
https://www.amazon.com/dp/048669609X/?tag=pfamazon01-20 foundations&pebp=1418386809861[/URL]

[URL]https://www.amazon.com/dp/0486488209/?tag=pfamazon01-20
foundations of mathematics&pebp=1418386876706[/URL]
[URL]https://www.amazon.com/dp/1568814666/?tag=pfamazon01-20[/URL]+roads&pebp=1418386920660
https://www.amazon.com/dp/1568814666/?tag=pfamazon01-20 roads&pebp=1418386920660[/URL]
https://www.amazon.com/dp/B00LSX54VI/?tag=pfamazon01-20+ideas&pebp=1418387005942
https://www.amazon.com/dp/B00LSX54VI/?tag=pfamazon01-20 ideas&pebp=1418387005942[/URL]
[URL]https://www.amazon.com/dp/0486780163/?tag=pfamazon01-20[/URL]+northrop&pebp=1418387560400
https://www.amazon.com/dp/0486780163/?tag=pfamazon01-20 northrop&pebp=1418387560400[/URL]
[URL]https://www.amazon.com/dp/0486284247/?tag=pfamazon01-20[/URL]+mathematics
https://www.amazon.com/dp/0486284247/?tag=pfamazon01-20 mathematics[/URL]
[URL]https://www.amazon.com/dp/0465064892/?tag=pfamazon01-20[/URL]+visions&pebp=1418387194216
https://www.amazon.com/dp/0465064892/?tag=pfamazon01-20 visions&pebp=1418387194216[/URL]
[URL]https://www.amazon.com/dp/1568...=pfamazon01-20[/URL]+godel&pebp=1418387469033
https://www.amazon.com/dp/1405197676/?tag=pfamazon01-20 godel&pebp=1418387469033[/URL]
 
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  • #8
I really like "A history of pi" by Beckmann
https://www.amazon.com/dp/0312381859/?tag=pfamazon01-20
and "An imaginary tale" by Nahin,
https://www.amazon.com/dp/0691146004/?tag=pfamazon01-20
Both have some math and a bunch of history. Nahin requires calculus; Beckmann is better if you know calculus but enjoyable as long as you know some geometry and perhaps trigonometry - I read it in high school with no calculus under my belt and LOVED it.

Don't know if they are "top 20" but I really like these books.

enjoy,

jason
 
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  • #9
Thanks for all this. I will be purchasing some of these books. Please let me know of any others.
 
  • #11
I would suggest, What is mathematics by Courant and Robbins, Geometry and the imagination by Hilbert and Cohn-Vossen, Euclid in the green lion edition along with Hartshorne's Geometry: Euclid and beyond as a guide, possibly some of Elements of algebra by Euler, Calculus by Mike Spivak, and Algebra by Mike Artin.
 

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What are some good math books for beginners?

Some good math books for beginners are "Mathematics: A Very Short Introduction" by Timothy Gowers, "A Mathematician's Lament" by Paul Lockhart, and "Innumeracy: Mathematical Illiteracy and Its Consequences" by John Allen Paulos.

What are some advanced math books for experienced mathematicians?

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Are there any math books that make learning fun?

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