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Hi, Citizen! You're going at learning about electronics the right way. Just taking things apart to see how they work and scrounging components is a really good way to pick up a lot of practical knowledge.
You've gotten a lot of good advice from another post. If I could add a few things:
- There is no magic bullet for stripping components off boards. You're going about it the right way, one component at a time. If you've got a single-sided board or only have components on one side, you might want to experiment with heating the solder joints with a heat gun to get through hole parts. The circuit board itself may char a little and start smoking, so spread the heat around, and do it somewhere there's good ventilation. But removing components with a soldering iron and a Solda-Pullit suction tool is good practice. Work on not overheating components -- you can easily damage them. You might want to get a DMM with a diode checker to run basic checks on components before you store them.
- To start out with, just get a few small boxes for components and label them "Power Resistors", "Caps", "Diodes", "Transistors", &c. As you go on, you can pick up those 60-drawer bins with the molded plastic mini-drawers and metal frame at your local hardware store when they're on sale.
- You'll learn a lot more about electronics if you poke around a working circuit. You'll get your money's worth if you pick up an old AM/FM transistor radio - no ICs - you won't have to worry about potentially dangerous high voltages. Take the time to figure out how it works with it on.
- While you're scrounging at garage sales, keep an eye out for a used oscilloscope. That single tool (even an old 10 MHz single trace scope) will teach you more about electronics than anything else.
- You've got the wrong textbook. While calculus is necessary to really understand AC circuits, that level of knowledge isn't necessary to learn a whole lot about the subject. Start out by asking at the local trade school or junior college what text they're using for basic circuits. These schools teach non-calc based electronics (and they're also a good source for used test equipment).
Good luck, citizen. Chris