r/learnmath • u/BL4Z3Cuber New User • 16h ago
I Need Help!!!! (COMPLEX NUMBERS)
I have been studying complex numbers for the past couple of months (I'd say I'm fairly confident with them at this point).
The one thing that drives me crazy about this topic is how you can solve those long Euclidean geometry and trigonometry problems in what, like, minutes, and that too with such insane elegance.
So I just wanted to find more geometry and trig problems of this kind, but I couldn't find any good material anywhere. I just wanted some suggestions about what resources I should refer to.
BTW, I'm just 16, so don't expect me to know very high-level stuff, but you can expect me to have a solid foundation in algebra and geometry.
(English isn't my first language btw, so excuse any errors lol.)
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u/No_Good2794 New User 14h ago
I don't know exactly what kind of problems you're looking for within complex numbers, but if you're 16 and looking for complex number problems, IB (International Baccalaureat) would probably be a good place to look. Look for an IB AA HL textbook or online resource.
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u/Low_Breadfruit6744 Bored 9h ago
Just learn linear algebra. Then you can do both 2 and 3d using the same techniques
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u/Immediate-Home-6228 New User 8h ago
Like the others I am not sure what specific problems you are speaking of. If you already haven't you can use Euler’s equation to jump start deriving the trig identities. That is a good exercise. Start with the sum and difference identities.
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u/Southlander24 A friendly Redditor!👋 16h ago
Check out MadAsMaths:
https://madasmaths.com/archive/maths_booklets/further_topics/various/complex_numbers_part_1.pdf
https://www.madasmaths.com/archive/maths_booklets/further_topics/various/complex_numbers_part_1_exam_questions.pdf