April 16th, 2015, 09:57 PM  #21 
Senior Member Joined: Apr 2015 From: Los Angeles Posts: 288 Thanks: 7 
How do I apply Divergence and Curl to electromagnetics?

April 17th, 2015, 02:19 AM  #22 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,134 Thanks: 720 Math Focus: Physics, mathematical modelling, numerical and computational solutions 
They are needed for fundamental principles of electromagnetism, so although there are no obvious applications that apply to circuits, there will be some involvement when you look at currentcarrying wires in the presence of a magnetic field or fundamental mechanisms behind capacitors or inductors (because they involve EM fields). I'd suggest getting a textbook on electromagnetism and/or electronics and go through that rather than ask a bazillion questions on a maths forum! 
April 17th, 2015, 07:42 AM  #23 
Senior Member Joined: Apr 2015 From: Los Angeles Posts: 288 Thanks: 7 
What's the difference between analog and digital in mathematical terms? Sorry, I've been told I have the attention span of a fruit fly.

April 17th, 2015, 08:01 AM  #24 
Senior Member Joined: Apr 2015 From: Los Angeles Posts: 288 Thanks: 7 
Are proofs and derivations the same thing? Is it important to know how Ohm's Law E = I * R is derived?

April 17th, 2015, 09:14 AM  #25 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,134 Thanks: 720 Math Focus: Physics, mathematical modelling, numerical and computational solutions 
I like the fact you're curious about a lot of things, but seriously... a lot of these questions can be answered by tapping them into a Google search engine and spending a few minutes reading material on websites. As for the two questions above: "What's the difference between analog and digital in mathematical terms?" You can apply Boolean logic to solve electrical networks for digital systems, not so with analogue electronics. Look up logic gates. "Are proofs and derivations the same thing?" Sort of. Proofs are formal and precise, showing how two things are unequivocably related, whereas derivations just show how one interesting thing can be derived/determined from something else and, depending on the derivation, can occasionally involve assumptions, simplifications and fudge factors. Derivations are often made to try and find out something especially interesting or show links between different theories, whereas proofs are made to make it explicitly clear that it is valid to equate two things or define something in a certain way or whatever. Proofs have strict rules whereas derivations can relax those rules a little if it's interesting to do so and it doesn't break anything. "Is it important to know how Ohm's Law E = I * R is derived?" It depends on what you're doing. If you think you can understand it, why not learn it anyway? Knowledge is power! Here's an interesting thread, which I found using Google *cough, cough* https://www.physicsforums.com/thread...mslaw.179056/ Last edited by Benit13; April 17th, 2015 at 09:23 AM. 
April 17th, 2015, 09:56 AM  #26 
Senior Member Joined: Apr 2015 From: Los Angeles Posts: 288 Thanks: 7 
Thank you Benit13. A lot of people have told me to use google. I'm really just trying to make conversation, relax away from work. I am interested in these things.

April 17th, 2015, 10:44 AM  #27 
Senior Member Joined: Apr 2015 From: Los Angeles Posts: 288 Thanks: 7 
Is math and electronics conversational coffee shop subjects?

April 17th, 2015, 05:42 PM  #28 
Senior Member Joined: Apr 2015 From: Los Angeles Posts: 288 Thanks: 7 
Is it gratifying and satisfying modeling circuits using differential equations, just for fun? Is it worthwhile solving electric circuit problems just for kicks?

April 17th, 2015, 09:28 PM  #29  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Quote:
 
April 17th, 2015, 09:49 PM  #30 
Senior Member Joined: Apr 2015 From: Los Angeles Posts: 288 Thanks: 7 
Is it more interesting to deal in x y z or the r theta zeta plane. What about the time or the frequency domain? 

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