Recent content by CJ2116

My two favorites that I use regularly (the first of which I actually learned R from) are: R For Data Science, this goes through everything from importing, cleaning, visualizing and modeling (although this is the weakest section of the book). A slight word of warning with this, though; they use...

You might want to look at A Visual Introduction to Differential Forms and Calculus on Manifolds. He covers in whole chapters what Carroll only discusses in a few paragraphs (i.e. pushfowards/pullbacks, deriving the covariant form of Maxwell's Equations etc.) So many examples as well. This is one...

Van Der Graaf Generator - Pioneers Over C

Wow, I really like that! I used to listen to Dave Weckl's Live and Very Plugged In back in high school a lot, but I like this even better (mostly because Kenny G has made me unable to listen to most music with saxophone in it.) Kind of reminds me of Tribal Tech Face First in places.

Hi Zap, It would be helpful to know what country you're a citizen of. If it's the US I can share some of my experiences getting a clearance as I've worked in the US intelligence community/DoD for a number of years. Feel free to PM me as well if you prefer!

My favorite is Lemos' Analytical Mechanics - there are a large number of worked examples, clear exposition and a lot of end of chapter problems. There are a few appendices explaining differential forms and why they're a natural tool to describe constraints. I've honestly spent a fair bit of...

@Infrared I've also found his (small but growing) real analysis lectures extremely helpful. The Math Sorcerer a great resource. He has all kinds of lectures on real analysis (among other things) and solutions to problems. He also does a lot of math book reviews.

@david2 Flying in a Blue Dream (along with The Extremist and Crystal Planet) were some of my favorite albums growing up as a kid. I was never really into his vocal tracks that much, but Flying in a Blue Dream (the song) and Mystical Potato Head Groove Thing gave me many hours of frustrating...

I had never actually heard of this website before reading this thread. After browsing around on it for a bit I decided to sign up for the free trial. Thanks for sharing!

@mathwonk Thanks for the detailed response! Before I bought this book, I read through a few reviews of people who learned analysis from this, but it's helpful (and reassuring!) to get perspective from a mathematician who has taught this subject for a long time time.

I've been buying a lot of math books the last few months (John M. Lee's Introduction to Smooth Manifolds and Introduction to Riemannian Manifolds, Gadea Et al. Analysis and Algebra on Differentiable Manifolds, Munkres' Analysis on Manifolds, Axler's Linear Algebra Done Right) Two that I'm...

In theory, yes it is a huge downgrade in terms of how rigorous it is. A lot of the issues I had were that I took the course sequence as a sophomore with only calculus and linear algebra under my belt. I definitely didn't have too much mathematical maturity at the time and survived it by just...

I Just started working through Understanding Analysis by Stephen Abbott. I took a year of real analysis in college about 8 years ago using Rudin and struggled immensely. I was kind of curious how I would fair coming back to it years later, with enough detachment from my experiences years...

Thought I would post this here. Springer has posted a number of their books for free: https://link.springer.com/search?package=mat-covid19_textbooks&facet-language=%22En%22&facet-content-type=%22Book%22

Do you have a link to a few of them? To be honest, I'm not sure that I would have much (if anything) intelligent to contribute to the discussions, but I do really enjoy reading what other people have to say!