I plan to upload the entire book as a single PDF when I finish the next chapter (on the cycloid). That will probably be early next week.
I used the original book by Arthur Engel for many years. He was an inspirational teacher.
The MAA tried very hard to publish the book, but I kept adding new material, and a text consisting of math 'selections' rather than a single theme is a hard sell in today's publishing environment.
rramadass 12 hours ago [-]
> I kept adding new material, and a text consisting of math 'selections'
That is what makes it so interesting to a "mathematically inclined" layman; a smorgasbord of Mathematics! More value for the time/money ;-)
If MAA does not understand that there is huge market for Mathematics targeted towards Computer Programmers, they are just dumb. Programmers are the ones with the money and the interest in learning Mathematics presented in a manner more to their understanding.
Please do find some other low-cost publisher to publish this; "Dover Publications" might be a good one since they publish a lot of classics particularly if you position this as a modern update to the Engel book.
For example; John Stillwell positioned his Elements of Mathematics: From Euclid to Gödel as a sort of modern update to Felix Klein's Elementary Mathematics from an Advanced Standpoint. From the preface;
This book grew from an article I wrote in 2008 for the centenary of Felix Klein’s Elementary Mathematics from an Advanced Standpoint. The article reflected on Klein’s view of elementary mathematics, which I found to be surprisingly modern, and made some comments on how his view might change in the light of today’s mathematics. With further reflection I realized that a discussion of elementary mathematics today should include not only some topics that are elementary from the twenty-first-century viewpoint, but also a more precise explanation of the term “elementary” than was possible in Klein’s day.
So, the first goal of the book is to give a bird’s eye view of elementary mathematics and its treasures. This view will sometimes be “from an advanced standpoint,” but nevertheless as elementary as possible. Readers with a good high school training in mathematics should be able to understand most of the book, though no doubt everyone will experience some difficulties, due to the wide range of topics...
The second goal of the book is to explain what “elementary” means, or at least to explain why certain pieces of mathematics seem to be “more elementary” than others. It might be thought that the concept of “elementary” changes continually as mathematics advances. Indeed, some topics now considered part of elementary mathematics are there because some great advance made them elementary...
vector_spaces 2 hours ago [-]
> If MAA does not understand that there is huge market for Mathematics targeted towards Computer Programmers, they are just dumb.
Presumably a large math textbook publisher that has been publishing math books for literally one hundred years is very tapped into what books likely will and won't sell. I find it unlikely that a layperson where it concerns math book publishing would have some unique insight that MAA does not have. Even if there is a substantial enough market, there are likely unique considerations that MAA is beholden to which we aren't privy to
I don't know what the calculus is like to get an extended version of an existing book published by another publisher, but Dover's Aurora series consists of modern original texts as opposed to their usual republications of classic out of print texts -- this is how Emily Riehl had her "Category Theory in Context" published
efavdb 11 hours ago [-]
I would certainly buy a copy were it printed!
__mharrison__ 8 hours ago [-]
Impossible to self publish?
gostsamo 16 hours ago [-]
For accessibility reasons, is it possible to have the chapters in html form as well? I don't know if it is possible to have the source code of the book, but it is also an option.
AnotherGoodName 3 hours ago [-]
On this note I’d be willing to support a html port with inline python code running via pyodide if the helps wanted too.
I think this is the best format for python code samples and tutorials. It’s even better than notebooks. No IDE to setup, a completely static and saveable html page, easily runnable and changeable python.
efavdb 21 hours ago [-]
Looks like a treasure trove of knowledge.
I just recently went to the exploratorium in SF and saw an exhibit there suggesting that the catenary made a good arch, so browsed that chapter and saw a bit of explanation here which helped. Was also interested to see that Jefferson played some part in the history here.
zkmon 17 hours ago [-]
It is painful to imagine how these fantastic works will be not be read by humans in future, as AI would digest all this and provide just-in-time code for humans.
T-A 16 hours ago [-]
The kind of people who read books like this will keep reading them no matter what AI does. The kind of people who won't are already using code written and packaged as convenient libraries by others.
robrain 2 hours ago [-]
Since the dawn of the current "AI" I've continued to buy and read books at the same pace. Likewise downloading interesting human-created PDFs. I know I'm not the only human who takes zero interest in the output of word-sausage extruders.
LenaRyouna 8 hours ago [-]
People will always read things, not just because it's a necessity for something else, but just for fun, for curiosity, as a game etc.
People do plenty of recreational things which don't make sense from an efficiency perspective; they do it because it's fun.
0xpgm 9 hours ago [-]
I believe just as human experts do peer review, someone will need to review the AI's work.
The people who do this review will have to know enough to follow along.
rramadass 10 hours ago [-]
You are mistaken if you think the code is the point (it is not); It is the Mathematics which is important. AI tools can help me in my studies/work but the understanding still has to happen in my own head.
mettamage 9 hours ago [-]
Hannah Fry said that learning math feels like gaining a 6th sense. That’s why I continue to study it. I feel it. It’s fun to experience the world in more ways.
The same goes for Vipassana meditation.
urutom 19 hours ago [-]
I own the original Exploring Mathematics with Your Computer(Turbo Pascal version).
It’s an excellent introduction to algorithms for people coming from a mathematics background.
Really happy to see it revived in Python.
net_rando 15 hours ago [-]
Random thoughts:
- Seems great. Added to the backlog :)
- No colors in PDF illustrations. Is it a deliberate choice?
- > The first six chapters (and Appendix A) are essentially that book, but with the programming language changed to Python, some rewording, reformatting in Latex, and a few additions.
Try [typst](https://typst.app/) as an alternative to Latex.
fnord77 19 hours ago [-]
Very nice. I was looking for something fun to work on over the break. Thank you for this.
> Unfortunately, after lengthy discussions with the MAA, my hopes of publishing this (rather large) expansion have proved impossible, and so I've decided to put it online, hopefully to be of use to others.
Too bad
rramadass 20 hours ago [-]
Very Nice!
However, I don't see the entire book as a single pdf?
a single PDF will be provided once one more chapter is compleated.
fnord77 19 hours ago [-]
I downloaded each chapter and combined them so I could read it in apple books on my ipad
pdfunite $(ls -tr) "Exploring Mathematics with Python".pdf
magmostafa 14 hours ago [-]
This is an excellent resource for building mathematical intuition through code. Python's combination of readable syntax and powerful libraries (NumPy, SymPy, Matplotlib) makes it ideal for exploring concepts like linear algebra, calculus, and discrete math interactively.
One approach I've found effective: start with a conjecture, visualize it with matplotlib, then prove it formally. The instant feedback loop helps develop both computational thinking and mathematical rigor. Tools like Jupyter notebooks make this workflow seamless.
For anyone interested in similar resources, "Mathematics for Machine Learning" by Deisenroth et al. and 3Blue1Brown's linear algebra series complement this beautifully by bridging theory and computation.
I plan to upload the entire book as a single PDF when I finish the next chapter (on the cycloid). That will probably be early next week.
I used the original book by Arthur Engel for many years. He was an inspirational teacher.
The MAA tried very hard to publish the book, but I kept adding new material, and a text consisting of math 'selections' rather than a single theme is a hard sell in today's publishing environment.
That is what makes it so interesting to a "mathematically inclined" layman; a smorgasbord of Mathematics! More value for the time/money ;-)
If MAA does not understand that there is huge market for Mathematics targeted towards Computer Programmers, they are just dumb. Programmers are the ones with the money and the interest in learning Mathematics presented in a manner more to their understanding.
Please do find some other low-cost publisher to publish this; "Dover Publications" might be a good one since they publish a lot of classics particularly if you position this as a modern update to the Engel book.
For example; John Stillwell positioned his Elements of Mathematics: From Euclid to Gödel as a sort of modern update to Felix Klein's Elementary Mathematics from an Advanced Standpoint. From the preface;
This book grew from an article I wrote in 2008 for the centenary of Felix Klein’s Elementary Mathematics from an Advanced Standpoint. The article reflected on Klein’s view of elementary mathematics, which I found to be surprisingly modern, and made some comments on how his view might change in the light of today’s mathematics. With further reflection I realized that a discussion of elementary mathematics today should include not only some topics that are elementary from the twenty-first-century viewpoint, but also a more precise explanation of the term “elementary” than was possible in Klein’s day.
So, the first goal of the book is to give a bird’s eye view of elementary mathematics and its treasures. This view will sometimes be “from an advanced standpoint,” but nevertheless as elementary as possible. Readers with a good high school training in mathematics should be able to understand most of the book, though no doubt everyone will experience some difficulties, due to the wide range of topics...
The second goal of the book is to explain what “elementary” means, or at least to explain why certain pieces of mathematics seem to be “more elementary” than others. It might be thought that the concept of “elementary” changes continually as mathematics advances. Indeed, some topics now considered part of elementary mathematics are there because some great advance made them elementary...
Presumably a large math textbook publisher that has been publishing math books for literally one hundred years is very tapped into what books likely will and won't sell. I find it unlikely that a layperson where it concerns math book publishing would have some unique insight that MAA does not have. Even if there is a substantial enough market, there are likely unique considerations that MAA is beholden to which we aren't privy to
I don't know what the calculus is like to get an extended version of an existing book published by another publisher, but Dover's Aurora series consists of modern original texts as opposed to their usual republications of classic out of print texts -- this is how Emily Riehl had her "Category Theory in Context" published
See https://rubberduckmaths.com/eulers_theorem for an example where i wrote a blog post with lots of inline runnable Python code samples.
I think this is the best format for python code samples and tutorials. It’s even better than notebooks. No IDE to setup, a completely static and saveable html page, easily runnable and changeable python.
I just recently went to the exploratorium in SF and saw an exhibit there suggesting that the catenary made a good arch, so browsed that chapter and saw a bit of explanation here which helped. Was also interested to see that Jefferson played some part in the history here.
People do plenty of recreational things which don't make sense from an efficiency perspective; they do it because it's fun.
The people who do this review will have to know enough to follow along.
The same goes for Vipassana meditation.
- Seems great. Added to the backlog :)
- No colors in PDF illustrations. Is it a deliberate choice?
- > The first six chapters (and Appendix A) are essentially that book, but with the programming language changed to Python, some rewording, reformatting in Latex, and a few additions.
> Unfortunately, after lengthy discussions with the MAA, my hopes of publishing this (rather large) expansion have proved impossible, and so I've decided to put it online, hopefully to be of use to others.
Too bad
However, I don't see the entire book as a single pdf?
a single PDF will be provided once one more chapter is compleated.
One approach I've found effective: start with a conjecture, visualize it with matplotlib, then prove it formally. The instant feedback loop helps develop both computational thinking and mathematical rigor. Tools like Jupyter notebooks make this workflow seamless.
For anyone interested in similar resources, "Mathematics for Machine Learning" by Deisenroth et al. and 3Blue1Brown's linear algebra series complement this beautifully by bridging theory and computation.