I'm tempted to give up on electronics and stick with mechanical contrivances. At least with things mechanical one can see how they work. Any comments?
"Things mechanical" can be extremely complicated and difficult to visualize "how they work." And without a background mathematical foundation in mechanics, including strength of materials, new designs economically produced are virtually impossible. In recent years, 3D modeling software has aided visualization, but only after the fact: you still have to create the model. I personally have difficulty with "seeing" how multi-lobed, smooth surface machined, interacting moving parts actually work, even with an operating physical example in front of me. Can you visualize a "geared" mechanism that has no teeth, only smoothly meshed lobes moving in three dimensional paths? Even something as "simple" as a differential planetary gear transmission is a mystery to me... I wouldn't even begin to know how to "design" one from specs, although I do feel somewhat competent in selecting one from a catalog of available designs, based on speed and torque requirements.
Electronics may seem to be all about "trial and error" but it is not. You need a firm foundation in physics and math to even begin to really understand electronics. And it helps to further spread your knowledge into other scientific fields to better "visualize" what electronics applications are possible, now and in the future. Electronics is no longer just about radios and television sets as it was in the 1940s.
I grew up at the end of an era when all electronics were based on vacuum tubes. Making the transition to solid-state electronics in the 1950s and 1960s was difficult for many people skilled at vacuum tube electronics, but especially difficult for those lacking the math and physics background necessary for any real understanding of "how it works." I was a member of the crew on that boat, having "played" with electricity and tube-circuit electronics from a very early age. I was still a teenager "electronics hobbyist" when it first became economically possible to begin "playing" with transistor circuits. But "play" is all it was: "monkey see, monkey do" type of activity with no real understanding of design principles. Lots of fun, but hardly anything to base a career on. That came much later with a formal education and a four-year tour of military service that exposed me to real electronics design, as well as real mechanical design. Ever hear of a swash-plate hydraulic drive motor? Needless to say, I was "hooked" on electronics for the rest of my life.
I don't want to down-play the benefit of "hands on" experimentation to learn electronics. I have known "engineers" with lots of formal education who couldn't design their way out of a paper bag because they had no experience with real circuits. But experience alone is of little value. Electronics is a science, and all science is based on observation and experiment... the so-called scientific method. You first observe something, then you form an hypothesis in an attempt to explain what you observed.
The next step is extremely important: you use your hypothesis to
predict how something similar will behave and create an experiment to
test that hypothesis. The results of the experiment will either confirm or deny the hypothesis, but experiment
never proves the validity of any hypothesis. What experiment can do is prove a hypothesis to be wrong, or to paraphrase Thomas Edison, "We have found yet another way that doesn't work. Back to work to find a way that does."
If an experiment seems to confirm an hypothesis, it needs to be repeated by others and produce the same results (within the limits of measurement error) over a sufficient period of time (sometimes decades) before the hypothesis can be generally accepted as true. Even so, just
one counter-example experiment is sufficient to render an hypothesis invalid, or at least insufficient to explain what is really going on.
So, as you begin to learn electronics, do experiment. Learn from the work of others who preceded you down this wondrous, branching path. Learn some math... arithmetic, algebra, trigonometry, geometry, calculus, differential equations, linear algebras... yada, yada, yada... as much math as your brain can absorb without melting. Learn some physics... learn a LOT of physics, at least to the undergraduate level. No need to learn how to fission stuff in your kitchen, but learn some chemistry too. And maybe throw in some stuff from mechanical and civil engineering to round out your education and prepare for some real-world electronic design.
If I were younger, and knew then what I know now, I would have added biological sciences to my education curriculum. There are huge applications for electronics to be performed by those who can communicate with biologists, physicians, and healthcare providers, to name just a few. I am alive today because of an implanted heart pacemaker/defibrillator. This gadget may have been speced out by a medical doctor, but I am sure it was designed and built by electrical engineers... and NOT by trial and error.