Welcome to Physics, and the pure math germane to physics!
Physics Etc. will explore physics as a set of articles spanning from the scientific method as it was introduced to the dark ages, and a modern look at the ancient puzzle of the hypotenuse function, delegating first-year calculus, through a treatment of orbits. Physics has some endemic characteristics, in every corner of the pursuit it's always “the study of the properties and interactions of space, time, matter, and energy”, but we're human so we like a little story.
Just because one doesn't have a career (in physics) doesn't mean he can't do more than nothing (you can do some of it, neuroplasticity). One can read, participate in, and publish work using a broadband-connected personal computer, right from your desk. Likewise, the management of savings, no matter how small, can be done from your home—via a trading account, and Leonhard Euler's 1749 interest formula, along with a long study of the stock market's 1. lexicon, 2. many price plots, and 3. risk tolerance—thereby making math and science potentially important on everyone's list of things they look forward to doing, on the Internet. And those kinds of people, with an optimistic eye to a robotic future, would agree there will always be Superbowls, and fantasy versions of football, but maybe there will come a time when there is a politically popular importuning of science, such that the A.I. system rewards beginners, at some rate according to political climate, for demonstrating knowledge, with quality (and novel) responses advertised.
Search engines, Wikipedia, and Q&A sites for physics are great resources, but so can be pretty good books on physics—you have to study diligently, and then with practice receive the reward associated with participating in the ancient art of the formula. There's sensational YouTube physics like Vsauce, (no math). Khan Academy doesn't cover advanced problems like a college course would (usually just enough to get a feel for the subject). MIT's Open Courseware has only partial video lecture coverage, but will give you challenging books to buy on Amazon. Edx.org has a good course on cosmology, with short videos intended for replay and community discussion after each quiz question. Openstax.org has 29 books, all peer-reviewed, and is free online, so if money matters this is a good alternative to the O.C. calculus book ($$).
As an end goal, I want this site to be a haunt for a "rank and file" high school math student who at least enjoyed a little of his trigonometry lessons, on the path of a long life with some study. The content isn't meant to be completed at any rate in particular; it was written between other work and studies, at a diligent but comfortable pace.
I'm building this site,
- To introduce concepts as they are needed, in pursuit of real problems as described by college-level text books.
- To explicate the physics notations, as adopted from the great mathematician Euler, as they construct the modelling math, enough to share the steps used in solving fascinating problems of historical research.
- To inspire more people to study physics; comprehension is a real reward, and studying (physics) positively changes lifestyle, because it's a gateway to high quality literature, not that there isn't high quality literature in every discipline of the liberal arts.
If the goal of this site is achieved, then more people will come away with an idea of the many leaps in convention and framework, along the line of progress towards the explication of satellite dynamics. The exciting part about physics, the motivation for learning so much mathematical modelling, is answering R&D problems of humanly encountered mechanics, and for the many perpetuators of the discipline, it's solving mysteries of our environment. Taking a step which is logical, having grasped the concept of the operation and operands, going from line to line to check and trace the operations, comprises what we'll do here, along the path of studying physics.
Natural physics includes shooting baskets and setting ladders, but the mathematical discoveries started with Pythagoras (~300 BC, covered in Ancient Functions group of lesson pages, link to be created). Physics is the modelling of real physical interactions (with an eye to the sky) by a combination of mathematical functions (Leonhard Euler, around 1748), conventions, formulas, and frameworks. I'll be exploring the classical path, as led by Pythagoras, continued through James MacCullagh (1809-1847), in order to present the quadrupole moment.
Bio: Just out of college (with a major in physics), I was diagnosed with an illness, which delayed my career—and everything else—progress (interrupted from teaching some confidently satisfied students in California). I have come to believe the physics lesson articles, planned to be presented on this site, are for people of all ages and aptitudes who have wanted more than the TV's treatment of physics, and maybe got daunted by "pro" physics equations and jargon, from some Internet search for some physics, and hopefully you could also devote some regular time to studying physics (a little goes a long way). I believe there's a perfect book, literature, for everyone to study from, to learn a knowledge craft, and for some those books are physics, all of which can be tracked down on the Internet (e.g. the book store, academic site curriculums, etc), if not on the references page. Maybe you just want to read the intro page, or sublisting of pages, Ancient Functions (link: to be created), to see where high school math (ancient stuff) goes in college and beyond—hopefully you'll be hooked!
There is a list of articles with a summarizing sentance or two, not the "last mod sorted" lists with the file name, also the first link, (site map robot info), and it's here: physics listing page , but it's not big enough (about half an article at end of 2019, or one sentance of advertiseable content, so it's pre-ad.
The articles in sublisted content, and this home mission page will be unadvertised, while there will be advertising on the pages listing, and sublisting, of the articles and micro-articles. I like getting concepts in granular graphics + text bites, and hate being distracted while I'm studying something, and don't mind a little advertising.
The equation typesetting is provided by Mathjax, which worked pretty plug n play.
Link to Wikipedia's article on the significance of 137 in physics. The fine structure constant is practically 137 (more closely than how pi is taken to be 3.14 (next decimal place is a zero, not a one)). It is from the very fast and small scope of Quantum field theory (not in my references, otherwise), which is the only number unique to physics of which I know. The number two is everywhere in physics, but it's also significant to every other science.