# Expanding my maths...Watch

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Thread starter 3 years ago
#1
Hi all,
I'm intending to study mathematics at university, and wondered if anyone had any good ideas on how to expand your mathematical knowledge past that of the A-level syllabus?

Thank you!
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3 years ago
#2
Study Linear Algebra, Regression Theory (OLS, GLS, anything in econometrics), Optimisation (simplex method, non linear optimisation)
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3 years ago
#3
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3 years ago
#4
Linear algebra, vector calculus, integral transforms, operator methods

Fourier series and Sturm Liouville theory are pretty interesting topics that are quite general

Set theory tends to be a good one that some read up on during A-Levels

I'm not a mathematician, I'm talking from a scientist's point of view, so I wouldn't know how to expand your knowledge other than to just keep reading
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3 years ago
#5
Read Disquisitiones Arithmeticae by Carl Friedrich Gauss
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Thread starter 3 years ago
#6
Thank you so much!
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3 years ago
#7
I would recommend going through Andrew Wiles' proof of Fermat's last theorem and trying to understand it best you can.
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Thread starter 3 years ago
#8
(Original post by B_9710)
I would recommend going through Andrew Wiles' proof of Fermat's last theorem and trying to understand it best you can.
Isn't it like the most confusing proof ever though?! Hahaha
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3 years ago
#9
Well, if you know
-the terms "theorem", "lemma", "corollary", "proposition" and "conjecture"
-the different types of proof (direct, induction, contraposition, contradiction etc.)
-the "blackboard bold" symbols used to represent sets of numbers (ℕ ℤ ℚ ℝ ℂ)
You're pretty much ready for degree-level maths

btw if you have a specific career in mind after you leave uni, plan for that well in advance - you might find that you don't need to know Fermat's last theorem in your career
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Thread starter 3 years ago
#10
(Original post by shawn_o1)
Well, if you know
-the terms "theorem", "lemma", "corollary", "proposition" and "conjecture"
-the different types of proof (direct, induction, contraposition, contradiction etc.)
-the "blackboard bold" symbols used to represent sets of numbers (ℕ ℤ ℚ ℝ ℂ)
You're pretty much ready for degree-level maths

btw if you have a specific career in mind after you leave uni, plan for that well in advance - you might find that you don't need to know Fermat's last theorem in your career
Hahaha thank you!
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