Math Books for High School Grad: Suggestions Welcome

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Discussion Overview

The discussion revolves around recommendations for math books suitable for a recent high school graduate who has completed calculus and vectors. Participants share their personal favorites across various fields of mathematics, expressing preferences for accessible content without advanced prerequisites.

Discussion Character

  • Exploratory, Conceptual clarification

Main Points Raised

  • One participant seeks suggestions for math books that are enjoyable and not too advanced, given their recent completion of high school.
  • Another participant recommends exploring Graph Theory as a potential area of interest.
  • A suggestion is made for "A Book of Abstract Algebra" by Pinter, noted for being easy and enjoyable.
  • "A History of Mathematics" by Carl B. Boyer is mentioned as a large book suitable for occasional reading rather than cover-to-cover.
  • One participant enjoyed "The Poincare Conjecture" by Donal O'Shea, highlighting its engaging presentation of topology and historical context.
  • Another participant suggests Hardy's "A Course on Pure Mathematics" for those interested in a more problem-oriented approach.
  • A participant expresses interest in "Euclid's Window" and seeks further recommendations.

Areas of Agreement / Disagreement

Participants generally agree on the value of sharing book recommendations, but there is no consensus on a specific book or area of mathematics that is preferred.

Contextual Notes

Participants have varying interests in mathematics, with some focusing on philosophical concepts while others prefer problem-oriented texts. The discussion does not resolve which books are definitively the best choices for the inquirer.

Who May Find This Useful

Readers interested in accessible mathematics literature, particularly recent high school graduates or those looking to explore different fields of mathematics.

NADH
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Now that it's summer I have been doing a lot of reading, I am looking for a few books on math. I just finished high school and took calculus and vectors and enjoyed it. I don't really know what exact field of math book I want to get so I was just looking for some suggestions on any fields you have read from and enjoyed, the only thing is I haven't taken any university courses yet so they can't be to advanced.

Thanks in advance.
 
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Graph Theory
 
"a book of abstract algebra" by Pinter. Very easy, very enjoyable book!
 
"A History of Mathematics" by Carl B. Boyer. I think you can probably still find it at local book stores in the science sections unless something else has replaced it now. It's a large book not the type I would advise trying to read fully in one setting but more for skimming every now and again.
 
I really enjoyed The Poincare Conjecture by Donal O'Shea.

(https://www.amazon.com/dp/080271532X/?tag=pfamazon01-20)

It does a good job in my opinion of presenting topology as a fascinating subject as well as discussing the proof of the Poincare conjecture and the backgrounds of some relevant historical mathematicians. Of course if you're looking for something less literary and more problem orientated maybe Hardy's "A Course on Pure Mathematics"? Personally my interest in mathematics is limited to the more generally applicable and philosophical concepts but I do recall reading another enjoyable book on the Reimann hypothesis recently though I can remember its name.
 
Thanks for the suggestions, is the book Euclid's Window a good read by chance?
I would love to hear some more suggestions as well.
 

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