Don't just follow the steps you are shown, try your own ideas! There are a vast number of interconnected details that have the potential to be wrong and far fewer automated ways to catch any errors. I learned the more advanced maths I use daily in my thirties. ... it has a new chance at life in your 30s. Learn the basics well but don't get hung up on understanding every little detail. The content of these is mostly the same). What is that, a flat contradiction of my post? It's terrifying that it takes 4 printings before the answers should be considered trustworthy... Publishing a perfect book is difficult on par with writing code. Spend time on math websites (like this one! Others find it hard to learn because of bad habits and a poor foundation (their semantic tree wasn't that well built up in their youth). Get Started. For a midway academic treatment, you can read Feynman's lecture on Physics volumes. See Sydney Coleman on symmetry breaking. So, concentrate on eigen values and eigen vectors, the standard inner product, orthogonality, the Gram-Schmidt process, orthogonal, unitary, symmetric, and Hermitian matrices. Participants in warm rooms performed significantly worse than those in cool rooms, failing to identify almost half of the spelling and grammatical errors (those in cool rooms, on the hand, only missed a quarter of the mistakes). Doing the exercises is always a very important part of learning (I believe this holds in any field). It is considered an essential textbook for any physics student. A lot of resources on the awesome github: If you want to be serious about math you should get a feel for what mathematics means to mathematicians. Try to do about 1 hour of practice on your own each day*, Example, in English: "We don't know what staplers or trays cost, but we do know that the office manager bought 15 staplers and 11 trays for a total cost of $73". Reading, Massachusetts, Download the Zoom app and create a profile. What actually interests you? If you learn best in a classroom, you may have a local college that teaches math in the evenings. I started with Ken stroud’s ‘engineering math’, then did calculus 1,2,3 and linear algebra at community college (online, with proctored exams), then used chartrand’s “mathematical proofs” to learn proofs, which you. https://ocw.mit.edu/resources/res-18-001-calculus-online-tex... https://www.amazon.com/exec/obidos/ASIN/0980232716/ref=as_at... https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra... http://greenteapress.com/wp/think-stats-2e/, https://en.wikipedia.org/wiki/Forgetting_curve, https://press.princeton.edu/titles/8350.html, https://press.princeton.edu/titles/10592.html. A great book to start with is Rudin's Principles of mathematical analysis. You have your own learning style. Pulling out the ethernet cable can help but may not be sufficient depending on one's level of discipline and access to offline distractions. Each chapter has an application (a working Python implementation) of the ideas in the chapter. The inverse and implicit function theorems are just local, non-linear versions of what you will see with total clarity at the end of applying Gauss elimination in the linear case. Applied 30S Course Outline: File Size: 135 kb: File Type: pdf: First, define “advanced mathematics”: calculus? Started doing some woodworking projects and had to learn some basic geometry and trigonometry to calculate cuts. Then switch to a different text on the same subject. (By "learn" I mean read, do problems, write summaries.. it's a wide range): Days to repeat: 0 (initial learning), 1, 6, 15, 37, 93, 234, 586, 1464, 3662, 9155. First up, I am no expert, but I have traveled this road for a while so I'll share a bit. Things not covered in the above course: - Your learning ability is not actually much lower in your 30s than it was in your 20s. I then spent my 30s ruminating on grievances accumulated in my 20s. I did all the calculus and linear algebra classes on offer. Very strange, maybe you meant to reply to a different post? Once you build your intuition, you will then be in a position to "invent" the maths as you go along. Get the information ... read, listen to a teacher, watch a video. I have (had) a fairly good grasp of calculus and trigonometry and did a fairly good job working on a number of problems in high school. I'm pleased if I can make it through a chapter at all on any time scale, and I think having low expectations is probably healthy. Reading Mathematics is different than reading English, Working neatly helps you think more clearly, Investing money (interest rates, profits, etc). I just wish Feynman had presented his Lectures on Computation similarly. Same here. See Lanczos "Calculus of Variations" (Dover Books) to sort out your initial questions and learn the smooth little trick with integration by parts. Instead they are getting the gradient of a surface, NOT the function, as the change the coordinates of the surface. And anyway, it is just plain fun: what other subject is about solving puzzles? Do not send your learning activities to your tutor/marker for Shoot me an email at mathintersectprogramming@gmail.com. You have to be able to compare the objects that you define and get a feel for how a definition is really a manipulation of a basic intuition. Sounds like the perfect thing for me right now. (learning rate != thinking rate / creation rate!!) As another poster said there are courses out there in just about everything, though. I'm eyeballing self-learning an EE degree next, so I'm curious how it goes for you, I find it helpful to first learn the theory via 3blue1brown, https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw, I'm currently working through the bookofproof math problems found here. https://www.amazon.com/Introduction-Graph-Theory-Dover-Mathe... https://www.amazon.com/Introduction-Electrodynamics-David-J-... https://www.amazon.com/Linear-Algebra-Right-Undergraduate-Ma... http://boffosocko.com/2015/09/22/dr-michael-miller-math-clas... https://minireference.com/static/excerpts/noBSguide_v5_previ... https://minireference.com/static/excerpts/noBSguide2LA_previ... https://www.amazon.com/Road-Reality-Complete-Guide-Universe/... https://www.amazon.com/Conceptual-Physics-High-School-Progra... https://www.amazon.co.uk/Countdown-Mathematics-1-v/dp/020113... https://github.com/amorphid/i_am_a_teapot_container, https://github.com/amorphid/hottpotato-elixir. For me this was very valuable. Giancoli is a popular undergrad freshman year book, where as griffith's electrodynamics is a bit more advanced. Covered for linear algebra? Expect to get stuck with any one of them. It is never too late to learn math and physics! He's a finitist crank, but most of his class lectures are great despite this. I'm the same. I enjoyed reading the No Bullshit Guide to Math and Physics: May I ask what your goal is? This is a bit of an evergreen so just searching HN will net you piles of threads with lots of advice and references to resources. One text (Wangsness E&M maybe) had a great student quote, roughly “I understand the principles but I can’t do the problems.”. There is an interesting connection between learning math and science, and learning a sport. It's not bad in isolation - soon you will be computing recusion relations and bessel functions. Usually they make it sound like you need to do the exercises in the books. A lot of learning in physics comprises paring down your misconceptions until the correct methodology, often surprisingly simple, appears. Use the Feynman method (learn by teaching). You can do linear programming, non-linear programming, group representation theory, multi-variate Newton iteration, differential geometry. I practiced at least 30 problems every night in that class for 2 years. It helps to maintain your motivation if you have a reason, a driving reason, to continue this practice. 2. shadertoy.com - This is a community site where people just program cool looking graphics for fun. Math: High school 1st and 2nd year algebra, plane geometry (with proofs), trigonometry, and hopefully also solid geometry. Think very carefully where you want to spend your motivation and discipline. I just took a Discrete Math class and I am taking a calc refresher in the Fall. If you learn best in small chunks, Khan Academy has differential and integral calculus and linear algebra, to start you out. I am currently using Standford & MIT's open couseware. For this purpose, well regarded popular science books should be your first choice. Every topic seems to have a few really good books like this one, and there are often books that will take a totally different approach, like H Jerome Keisler's nonstandard calculus book using infinitesimals. I’ll emphasize the point by stating it’s converse. [9] Take after QM. 12 Life Lessons You Learn In Your 30s. I designed it with adults revisiting mathematics and wanting to move on to higher mathematics in mind. A side quest is available if you want to get into fluid dynamics. A common view is that mathematicians prove theorems. I don't have a good level 2 book, but that would mean looking into coordinate transformations, QR decomposition, and some more stuff. First, you can't go back to your twenties and you shouldn't try. Linear Algebra: David Lay [2]. I am wondering If it is viable for a person in their early 30s living in the US with no science/math background to get into a programming career today? Their labs are also different. Every one of us sits at a desk with a powerful internet-connected computer. Honestly, despite all the crap universities get, taking an undergraduate degree with a double major in physics and maths is an awesome way to do this. Explanations are super clear. in 15-30 minutes). Took me months to get though chapter 1 :D, but gave me through understanding of how to think about maths and how to prove stuff and that proof are the real fun of math. But we will proceed dead ahead... to the book reviews (you will need more than one book): https://fliptomato.wordpress.com/2006/12/30/from-griffiths-t... https://www.susanjfowler.com/blog/2016/8/13/so-you-want-to-l... Somebody else plugged 't Hooft here Well done! If this approach sounds like what you're after, start by getting a 1960's edition of Halliday and Resnick's physics (which is better than the present editions and quite cheap used), a Schaum's outline of calculus. What’s more, the headlines about the massive sums millennials will need to amass to retire — $1.8 million to $2.5 million, according to one USA Today article 1 — might seem so daunting that you don’t see the point in trying. I picked up various books and different learning strategies along the years but couldn't move forward cause I could not see any practical use for what I was trying to learn. Deep diving into math and physics just for the sake of learning etc seems to be cargo-culting. This would suggest interleaving classes instead of learning things sequentially for optimal time management. This self contained 1000+ page monster builds up to advanced physics in a methodical fashion from scratch. Start to make the connections with convexity and the normal equations in multi-variate statistics, principle components, factor analysis, data compression, etc. I'm glad we have it. Meanwhile you study calculus of a single variable, multivariable and vector calculus, and a little bit of ordinary differential equations, and do a year of laboratories. Nearing was good but had a bit too much, and his appendix on linear programming was curious but otherwise awful -- linear programming can be made dirt simple, mostly just Gauss elimination tweaked a little. For physics, I don't know what your background is. In my 20's I used to love picking things up just for the. We all know what this feels like - we've forgotten most of what we've learned in college that we don't use in our profession. > I follow a bunch of folks on the internet and idolize them for their multifaceted personalities. I find it impossible to think or stay focused in a hot or even warm environment. I made a rule to complete one chapter every evening including exercises and sticked to it. Cloud shapes? Would you like to see a draft? I could say I'm in the same boat. Pick a handful of problems. I am doing this now. https://gumroad.com/l/noBSLA. (plus being in the academic environment helps to get a better sense of the broader landscape of material). The library on my uni when I was in Math undergrad did not have AC at the beggining but was the only place where I could do any work, it was extremely difficult and I am sure impacted my progress. The colloquia are usually very subject specific. Might be the best undergraduate physics textbook ever written. If you're doing it to learn, don't sweat about the prestige of the place. Remember, math includes a wide range of topics. They are generally open to all, and will start to get you up to date on what's new across all of math/physics. If you were to ask me what textbooks or lectures I recommend, I think that's a more personal question than many here might guess. Have you tried putting anything out for others to consume? It’s right there. I had a similar epiphany as yours in my early thirties and this is what I did and it helped me greatly. For people like me (and I'm not suggesting that you are, but your circumstances sound similar to mine), something with more of a safety net may be more realistic. Regardless, I'll give my two cents for textbooks anyway. Math probably requires more time to start with a text book for hours you well and spend few! A college textbook with the ideas in the chapter on multi-linear algebra for later needs more just... A new chance at life in your 30s, I would assume it has total., just writing things down helps a lot of them up maths again of Feynman ’ s shortcuts doing... By using concrete materials to learn physics or applied mathematics all the code is open, I... 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