What are the most useful maths?

for what?

>>8807232
that a hobbyist can learn

>useful
this pretty much ends at calculus
unless you know something that I don't

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>>8807242
>calculus
do i require any other knowledge beside arithmethics to start learning calculus?

>>8807249
Basic algebra, like how to simplify an equation, other than that, i guess you're good to go

>>8807242
Analysis is pretty useful. It's a shame schools use this class to do intro to proofs.

>>8807242
are you stupid? what about nonlinear partial differential equations? you can't solve that shit with just calculus, yet if you were to solve most of them you would end up wtih a fuckig nobel prize. the only millenium prize problem solved was through the use of a sobolev space, a tool to solve NPDEs which pearleman interpreted the question as.

Solving an NPDE could make a better fusion reactor, it could mean better aerodynamics on planes, it could mean better microcontrollers, it could mean stronger metals, higher temperature superconductors.

to understand NPDEs is the most useful maths. this is fact. calculus deals with smooth, well behaved systems and equations. the world is not like that. there are so many nasty nonlinear things that we just instinctively look for order. what we must do is harness the nonlinear.

for that, i'd say the tools for such a thing range from bifurcation theory to spectral theory. learn those OP. if you do you might end up making big contributions.

>>8807308
average brainlet couldnt self teach themself PDEs and have it be
>useful

>>8807231
linear algebra
statistics
discrete math

/sci/ will make fun of you for studying "easy CS math", but they won't say the maths aren't useful

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>>8807323
t.person who doesn't know shit about NPDEs and thinks PDEs will be anything more than just ideals that are never achieved, wheras NPDEs actually describe systems taking into account non-conservative and stochastic components in nature.

pic related imma beat you up

>>8807308
>>8807335
what's the best book for learning about PDEs?

>>8807231
Analysis
Linear Algebra
Differential equations
Numerics

These are the topics which most often come up in engineering applications.

>>8807242
>this pretty much ends at calculus
Considering that the whole world runs on Numerical Linear algebra and partial/ordinary differential equations I think you are wrong.

>>8807231
Linear Algebra can properly explain pretty much all physical processes as well as many mathematical constructs

>>8807614
This.
And trigonometry.

>>8807308
>NPDEs
What does NPDE stand for?
N+PDE but the N?

>>8808329
nonlinear. it's there in the first paragraph

>>8808331
>nonlinear. it's there in the first paragraph
The topic is so vast there's no point.
Just solve them numerically.

>>8807249
Algebra and trig are recommended

In the context of social interaction and behavioral calculations when it comes to buying your first car then 'man maths' are overwhelmingly the most important mathematics for an 18 year old male.

The correct answer in their case wouldn't be the logical one, it would still be the right answer though as that'd be what they wanted just right then.

this b theoretical maths thread?

>>8807231
Statistics

>>8807350
start with the greeks

>>8807308
Nonlinear PDEs is a very very broad category and there is no single area of math that helps understand all of it. Asking someone to learn to solve NLPDEs is like asking someone to solve quantum gravity or a millennium problem, sure, we would if we could.

>>8807231
Just about any math you can learn has been useful for either physics or computer science at some point. The most useful basic things are calculus and linear algebra.

most useful for your average joe?
statistics

most useful for your average joe who wants to solve problems that they think up involving household objects that spring leaks?
differential+integral calculus

"why do i have to learn this i will never use this past highschool/college"
algebra past single variables. there is rarely a part in your life that you would be able to recognize when to use multivariable algebra without already knowing vastly higher planes of mathematics.

regular pleb needs to know arithmetic and remedial statistics/how to read a graph

>>8808352
Youre an idiot. Imagine if you didnt have calculus and solved every function numerically. Protip you cant

>>8807259
trigonometry is a must

>>8807231
Statistics, PDE, Probability, Computational Algebra

>>8810352
Give me 3 nonlinear equations that you can solve without using linearizing techniques.

arithmetic is by far the most useful outside of science, mathematics, engineering etcetera.

All these brainlet in here.
The most useful is probability and statistics.
Its common sense of maths.

>>8810744
more like uncommon sense

>>8810049
>>most useful for your average joe?
>>statistics
Can you explain me why please?

>>8807614
Basically these plus stats. Numerics being the most important.

>>8807249
Sometimes calculus is more algebra than calculus. As long as you know how to factor, understand the unit circle, know the quadratic formula, and are comfortable with logarithms, you won't really find anything too difficult.

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>>8807231
Spherical Trigonometry

>>8811825
They dont look at the stars anymore. If they did, they would know they disappear around 73,000 ft

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Calculus 1, Derivative Formulas

1/?

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Calculus 1, Integration Formulas

2/?

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Calculus 1, Common Limits

3/?

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Basic Algebra

4/?

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Basic Trigonometry (Unit Circle)

5/?

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Logarithm Formulas

6/?

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>>8807249

>>8811827
>>8811829
>>8811833
>>8811835
>>8811837
>>8811840

Common Geometry Formulas
Final one.

Start doing doing calculus problems, and simplify everything the best that you can. Anything you're unsure of, consult the formula sheets above.

>>8811827
>>8811829
Why would you post these instead of just telling him that e^ia=cos(a)+isin(a) and d/dx e^f(x) = f'(x)e^f(x)
You fucking asians overcomplicate everything

physics

IUTeich

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>>8811827
what's a derivative?

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>>8812311
please leave

>>8812351
nice, good energy

>>8812311

https://betterexplained.com/articles/calculus-building-intuition-for-the-derivative/

A derivative is the rate of change of a function. Or, the slope of a function at a given point.

if y = mx+b
y' = m

if y = sin(x)
y' = cos(x)

Seriously, though, I recommend just going to khan academy, and working through the Calculus and Pre-Cal sections. Doing and studying will teach you a lot more than anyone here can.

>>8811827
the way these are written suggest that this person doesn't understand derivatives, integrals, or functions

>>8807231
logic