Entertaining and fun books about mathematics for liberal arts student

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Discussion Overview

The discussion revolves around finding engaging and entertaining books about mathematics suitable for liberal arts students, particularly those with limited mathematical background. Participants explore various resources that could spark interest in mathematics and its philosophical aspects, aiming to present the subject in a light and enjoyable manner.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant seeks recommendations for fun and accessible mathematics books that can engage students from diverse backgrounds with minimal mathematical exposure.
  • Suggestions include graphic novels like "Logicomix," which explores the foundations of mathematics through the life of Bertrand Russell, though some participants express mixed feelings about its appeal.
  • Another participant favors "Uncle Petros" and expresses concern that certain books may misrepresent mathematicians and their work.
  • Books like "Things to Make and Do in the Fourth Dimension" and "Surely You're Joking, Mr. Feynman" are mentioned as potentially lighter and more engaging options.
  • Recommendations also include "Sync" by Steve Strogatz, which is described as entertaining and accessible, and "A History of Pi" by Beckmann, which contains equations but remains enjoyable.
  • Some participants mention philosophical texts, such as Bertrand Russell's "Introduction to Mathematical Philosophy," as accessible introductions to mathematical concepts.
  • Concerns are raised about the challenge of engaging students who may have little interest in mathematics, reflecting a broader issue in education.

Areas of Agreement / Disagreement

Participants express a variety of opinions on the suitability of different books and resources, indicating that there is no consensus on the best approach to engage students in mathematics. Some participants appreciate certain recommendations while others critique them, highlighting differing perspectives on what constitutes an engaging mathematics book.

Contextual Notes

Participants note the varying levels of mathematical background among students and the importance of selecting resources that do not overwhelm them. There is also an acknowledgment of the potential for certain books to misrepresent the nature of mathematical work.

Who May Find This Useful

This discussion may be useful for educators, teaching assistants, and anyone interested in promoting mathematics to students with limited exposure or interest in the subject.

dsatkas
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I’m looking for books of a general interest in maths, like a maths novel, a fun book about maths, a humorous introduction to higher concepts, something outside of tests, something they can read on their free time and appreciate the beauty of mathematics.

Let me add more details. I’m working as a TA for the course ‘’Maths and Physics’’ at a university college. The students have chosen the direction of environmental sciences. They basically have only two courses of maths in the entire bachelor program and no physics. They come from different backgrounds, but the majority of them has done some high school mathematics (not deeply) and a very elementary course in statistics. During the one semester course we will cover stuff from precalculus (functions, trigonometry, logarithms, etc.), stuff from introductory calculus (limits, derivatives, integrals), and then vectors and finally physics. Also the lecturer has been introducing them to number theory ideas (pigeonhole principle, golden ratio, induction).

My job is primarily to solve the exercises the lecturer gives them once a week and answer as many of their questions as time permits. I’m not satisfied with only that so I want to make them more interested in maths and eventually physics. Most of them won’t use maths again in another course in their program. So, now you have the whole picture, how can I peak their interest?

For example, one of my students is interested in the philosophy of maths. I have already given him an introductory article about the incompleteness theorem and another one about the ‘’Unreasonable effectiveness of mathematics’’ by Wigner. Do you have any further suggestions?

Concerning all the students it doesn’t have to be only books, any resource in general would be fine. But, maybe they can appreciate books more easily? I was thinking about a book introducing them to the why’s of mathematics or maybe some higher ideas (in an introductory level), or why not maths literature, perhaps a maths novel, a comic about mathematics? What are your ideas?
 
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dsatkas said:
For example, one of my students is interested in the philosophy of maths. I have already given him an introductory article about the incompleteness theorem and another one about the ‘’Unreasonable effectiveness of mathematics’’ by Wigner. Do you have any further suggestions?

Concerning all the students it doesn’t have to be only books, any resource in general would be fine. But, maybe they can appreciate books more easily? I was thinking about a book introducing them to the why’s of mathematics or maybe some higher ideas (in an introductory level), or why not maths literature, perhaps a maths novel, a comic about mathematics? What are your ideas?

I think you will be very happy with my recommendation. I'm so excited you asked actually. lol

Logicomix: An epic search for truth

It's a graphic novel about Betrand Russell's struggle with the foundations of mathematics. Math, philosophy, mental disorders, all in graphic format. It's an AWESOME read. It's the first graphic novel I ever read actually. It is REALLY fun.

Some of the ones that pop up as recommended when you look at this one look good too, but I haven't seen them yet. Next I'm going to check out his other work
https://www.amazon.com/dp/1582340676/?tag=pfamazon01-20.

You're welcome!

-Dave K

edit: There's one about Turing too!
 
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I have read both books. Tbh i didn't really like Logicomix. One the other hand Uncle Petros is one of my all time favourite books (actually this book might have played a role on why i chose to study physics instead of mathematics). I have read it 5 times and it always brings tears to my eyes every time, but it's not what I'm looking for. Books like Uncle Petros, Fermat's last theorem by Singh etc. might give them the wrong idea about what mathematicians do and how they are like.What I'm looking for is novel which contains mathematics, or a book that presents a topic in an amusing elementary way, something funny, something light. What i have in mind is for example ''Things to make and do in the fourth dimension'' or ''Surely you are joking Mr. Feynman'' which is closer to physics. I don't want to give them something heavier, since most of them don't care anyway much about mathematics
 
dsatkas said:
I have read both books. Tbh i didn't really like Logicomix.

GASP!

And here I thought it was this cool thing that only I knew about. Sorry. :)

One the other hand Uncle Petros is one of my all time favourite books (actually this book might have played a role on why i chose to study physics instead of mathematics). I have read it 5 times and it always brings tears to my eyes every time, but it's not what I'm looking for. Books like Uncle Petros, Fermat's last theorem by Singh etc. might give them the wrong idea about what mathematicians do and how they are like.What I'm looking for is novel which contains mathematics, or a book that presents a topic in an amusing elementary way, something funny, something light. What i have in mind is for example ''Things to make and do in the fourth dimension'' or ''Surely you are joking Mr. Feynman'' which is closer to physics. I don't want to give them something heavier, since most of them don't care anyway much about mathematics

Signh also has that book based on math found in the Simpsons, but I'm not sure that people younger than us watch the Simpsons anymore. There's Flatland, but that possibly reads as dated now. Still, if you start there on amazon, I see some stuff popping up that looks interesting like "Math and Magic in Wonderland" which seems to get astounding reviews, but at this point it's Amazon's algorithm doing the work and not me, so I'm curious to see what others recommend.

-Dave K
 
I really enjoyed "Sync" by Steve Strogatz. If I recall correctly it was mostly stories and some sketches, with very few (if any) equations. But well written and entertaining. Almost made me wish I had studied nonlinear dynamics instead of electrical engineering.

One book that has more equations is "a history of Pi" by Beckmann. I received it as a gift from an uncle when I was in high school (30 years ago!) and it helped feed my interest in math and science. There are a fair number of equations, but I recall skipping stuff I didn't understand and still thoroughly enjoying the book.

I found the first half of "an imaginary tale" by Nahin to be a wonderful read, although I'm not sure if your students would be interested. The actual history of complex numbers is fascinating and is mostly calculus-free. The second part of the book tries to get through basic contour integration, Cauchy's theorem and of course the residue theorem, which I found to be just okay even though I love complex analysis.

Jason
 
Introduction to mathematical philosophy - BERTRAND RUSSEL. Its a cheap good book (no one probably wANTS to read it nowadays, defines number and other things at an accessible primitive level.) from the KING himself :bow:

here it is for free:
https://people.umass.edu/klement/imp/imp-ebk.pdf

I also read Stephen Pollards A Mathematical Prelude to the Philosophy
of Mathematics it is like the above, but on steroids.(springer books) its a real mental gymnastics program for me :D

also, cryptonomicon. Though reading it give me a headache and I didnt read it completely, story is good.
Your mileage may vary.
 
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dsatkas said:
My job is primarily to solve the exercises the lecturer gives them once a week and answer as many of their questions as time permits. I’m not satisfied with only that so I want to make them more interested in maths and eventually physics. Most of them won’t use maths again in another course in their program. So, now you have the whole picture, how can I peak their interest?

This is the essential problem many of us face in the classroom- how to interest students who, for a variety of reasons, have no interest (and perhaps antipathy) in the material. I don't think any of the suggested books will be of interest to your students- they are not interested in math, so books going on about how cool math is are unlikely to be persuasive.

On the other hand, *you* know your students- their interests and (potential) career goals. Thus, you have the ability to 'meet them halfway', so to speak. Maybe start by discussing their attitudes toward math, find out when they started to lose interest, etc. etc.
 
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