I want to learn mathematics from scratch from a scientist working at NASA. I am not good at maths.
I <3 maths and space.
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SomeMichGuy · M
What sort of background do you have?
It is def. do-able, but each level builds on the previous, often, and so, e.g.,
you have in order to
to know be ready to
learn
basic math algebra
some geometry trigonometry,
+ algebra incl. exp(),
ln(),
logarithms
generally,
hyperbolic fns.
algebra differential
+ some trig calculus, incl.
+ some geom series, limits
algebra integral
+ trig calculus, incl.
+ geometry methods of
+ diff'l calc. integration,
multi-dimen'l
calc
algebra ordinary
+ calculus differential
equations
vector calc, complex functions,
and partial differential equations fit in, too
Linear algebra, matrices...
These are the mathematical tools which provide the basis of much of natural science.
It might look daunting, but all of math boils down to learning some new types of operations and the things on which those operators operate (types of numbers, or functions, or matrices, etc.). For instance, as a kid, you learn
type of object operations
positive numbers +, -
then
integers, +, -, ×, ÷
real numbers
real numbers roots, powers
complex numbers +, -, ×, ÷
roots, powers
||, phase/arg
Re(), Im()
angles sin(), arcsin(),
cos(), arccos()
tan(), arctan(),
etc.
...
functions df/dx, integral
of f
So it's all about
• "What is the new type of object we will now use?" and
• "what are the operations we can do on such objects?"
Just take it step-by-step and learn the basics well, and you'll be fine. 😊
It is def. do-able, but each level builds on the previous, often, and so, e.g.,
you have in order to
to know be ready to
learn
basic math algebra
some geometry trigonometry,
+ algebra incl. exp(),
ln(),
logarithms
generally,
hyperbolic fns.
algebra differential
+ some trig calculus, incl.
+ some geom series, limits
algebra integral
+ trig calculus, incl.
+ geometry methods of
+ diff'l calc. integration,
multi-dimen'l
calc
algebra ordinary
+ calculus differential
equations
vector calc, complex functions,
and partial differential equations fit in, too
Linear algebra, matrices...
These are the mathematical tools which provide the basis of much of natural science.
It might look daunting, but all of math boils down to learning some new types of operations and the things on which those operators operate (types of numbers, or functions, or matrices, etc.). For instance, as a kid, you learn
type of object operations
positive numbers +, -
then
integers, +, -, ×, ÷
real numbers
real numbers roots, powers
complex numbers +, -, ×, ÷
roots, powers
||, phase/arg
Re(), Im()
angles sin(), arcsin(),
cos(), arccos()
tan(), arctan(),
etc.
...
functions df/dx, integral
of f
So it's all about
• "What is the new type of object we will now use?" and
• "what are the operations we can do on such objects?"
Just take it step-by-step and learn the basics well, and you'll be fine. 😊
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Northwest · M
@SomeMichGuy I meant that you included most of the 100x and 200x, but not the 300x and 400x math (number theory, abstract algebra, topology, Geometry of Curves and Surfaces, etc).
SomeMichGuy · M
@Northwest Ah...for schools using that, yes, I suppose.
In Physics, group theory, some topology, and tensors are some of the main bits beyond that, and group theory might be covered in a particle/theoretical physics context, and tensors are often covered in the context of General Relativity (the classic text by "MTW"--for the co-authors, Chas. W. Misner, Kip S. Thorne, and the late John A. Wheeler--interlaces all kinds of tensor math with the physics, somewhat akin to learning vector calculus with electromagnetism in the book by David J. Griffiths).
In Physics, group theory, some topology, and tensors are some of the main bits beyond that, and group theory might be covered in a particle/theoretical physics context, and tensors are often covered in the context of General Relativity (the classic text by "MTW"--for the co-authors, Chas. W. Misner, Kip S. Thorne, and the late John A. Wheeler--interlaces all kinds of tensor math with the physics, somewhat akin to learning vector calculus with electromagnetism in the book by David J. Griffiths).
Gangstress · 41-45, F
SethGreene531 · M
Find a math Tutoring system where you live called Kumon. I attended after high school graduation for University prep.
Turned me into a near math wiz, even got a TV math Olympiad question right.
Was functioning at grade school level b4.
https://www.kumongroup.com/eng/world/
They may also have advanced services for gifted students also, wanting to pursue high level Uni maths.
Turned me into a near math wiz, even got a TV math Olympiad question right.
Was functioning at grade school level b4.
https://www.kumongroup.com/eng/world/
They may also have advanced services for gifted students also, wanting to pursue high level Uni maths.
This comment is hidden.
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SomeMichGuy · M
@SW-User The real problem is the pretty standard assumption (in the US, at least) that
"PhD = can teach"
which does not always hold, and typically results in
"I teach as I was taught"
which can lead to a *very* wide distribution--in the Gaussian sense--of actual results...
"PhD = can teach"
which does not always hold, and typically results in
"I teach as I was taught"
which can lead to a *very* wide distribution--in the Gaussian sense--of actual results...
Riemann · 31-35, M
@SW-User [i][c=BF6900]Uno[/c] [c=666666]più[/c] [c=4C0073]uno[/c] [c=359E00]uguale[/c] [c=000000]due[/c][c=009E4F].[/c][/i]
