15 Comments

I am very appreciative! I've been on a Math journey since I retired a couple of years ago and I agree with all the books you've mentioned that I know and look forward to picking up some of the one I do not know. I agree baby Rudin is essential, but I find it tough going.

Some books I liked for self study because they have answers:

Introduction to Analysis, Mattock.

Elementary Differential Geometry, Pressley.

There is also recently Needham's Visual Differential Geometry and Forms, which is great.

Thanks again.

Expand full comment

Baby Rudin is VERY difficult to study on its own. I definitely recommend studying it alongside the other two books I listed: Abbott's Understanding Analysis and Spivak's Calculus. Spivak has a great solutions manual which is very helpful.

Thank you for the other recommendations! I have Needham's new book on my shelf and I need to dig in ASAP!

Expand full comment

Woo! I have been looking forward to this for a while and became distraught when I recently checked and saw the "coming soon" page at the same URL was gone. It looks like it will be another fantastic resource for independent learning.

I have heard good things about Hammack's *Book of Proof* and am interested to hear if anyone has read it and Velleman's *How To Prove It* and can compare/contrast the two (ideally through the lens of independent study).

Expand full comment

Hey Nick, thank you! Thanks for bringing Book of Proof to my attention -- I'll add it to my reading queue.

Expand full comment

Hey Susan. I'm 15 years old girl and I just wanna say thank you for writing super helpful and perfect guides. I REALLY APPRECIATE IT! I always want to self-learn physics, math, and philosophy but confused how to start it. I learn these fields simply because I love learning it as a passion. Your blog is soo underrated. I suggest that you also create the computer science guide. Thanks susan I love you so much ❤

Expand full comment

Thanks so much, Adia. I hope the guides are helpful! Good luck on your journey!

Expand full comment

Hi Susan your guide is really great but its missing some fields such as Probability and Statistics, Differential Geometry. So please include them in the next revision.

Expand full comment

Thanks! I didn't include probability and statistics since they're not usually considered part of a core math curriculum. Differential geometry is usually a grad class. I'll include more subjects in the next version.

Expand full comment

I'm so pumped for this, thanks Susan! Excited to take a deep dive into mathematics. :)

Expand full comment

Perfect timing! Been looking to refresh my math for some jobs and general practice and this framework is perfect. Thank you!

Expand full comment

You're welcome!

Expand full comment

Not difficult to learn but time consuming.

https://link.medium.com/nK8e9rPWAtb

Expand full comment

Hi Susan, You are such an inspiration for an autodidact like me! I came to know that you learnt Computer Science on your own too. I would be really helpful for people like me starting out CS if you would put the guide on the same too.

Expand full comment

I have a CS guide in the works, but it's been a little tricky trying to figure out the perfect mix of the theory vs. the engineering sides. Thanks for the push -- I'll try to get that one done!

Expand full comment

Thanks from a fellow autodidact :)

Expand full comment