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Best way to learn Further Mathematics?

Anonymous Sun 15 Nov 23:01:16 2020 No.12346434 View Reply Original Report

Quoted By: >>12346538 >>12347267 >>12347712 >>12347813 >>12350147

What would be the best way to learn Further Mathematics, I’ve recently started uni first year and we started learning “Further Mathematics” I have no fucking idea what sin,cos or Pi where do I even start.

Now we have equations like this in the pic and I have no idea what's going on.

Anonymous

Anonymous Sun 15 Nov 2020 23:18:53 No.12346538 Report

Quoted By: >>12347267

>>12346434
Read Precalculus by Stitz And Zeager. It tells all you need to know about algebra, geometry, and trigonometry.
School is a joke.

Anonymous

Anonymous Mon 16 Nov 2020 00:28:56 No.12347267 Report

Quoted By:

>>12346538
>school is a joke
no, it really isn't.
>>12346434
do you understand why (AB)^t = B^t A^t? do you understand why (AB)^-1 = B^-1 A^-1? if you don't understand these things, you should try to understand them.
if you do understand these things, then the argument in your image is just an application of those facts several times.
i'm not sure how you got to a point where you're taking a linear algebra class without knowing what sines and cosines are.

Anonymous

Anonymous Mon 16 Nov 2020 00:30:04 No.12347283 Report

Quoted By:

Read meme.
I mean Lang.

Anonymous

Anonymous Mon 16 Nov 2020 00:52:52 No.12347674 Report

Quoted By: >>12347712

For a guide:

Basics:

-"Basic Mathematics"- Serge Lang
-Calculus 1,2,3 ( By Ron Larson - Calculus: Early Transcendental Functions)

-linear algebra ( Kenneth Hoffman/Raykunze )

-differential equations(ODE) "Ordinary Differential Equations(Dover Books)"-Morris
-----------------------------------------------------------
It Branches off into(Intermediate math)(No order unless noted):

-Real analysis (Rudin)

-Set Theory/Topology ( "Set Theory"-Thomas Jech, or CunningHam && "Topology"-Munkres)

-Complex Analysis ( "Real and Complex Analysis "- W. Rudin)

-Algebra ("Abstract Algebra"- Dummit and Foote, or (more rigorously) "Algebra"- Serge Lang)

^ Another choice is Bourbaki

-Algebraic Topology ("Algebraic Topology" - Allen Hatcher)-requires mostly ps topology, littler algebra

-Differential Geometry ( "Introduction to Manifolds” -Loring W. W. Tu, then "A Comprehensive Introduction to Differential Geometry"- by Michael Spivak )-requires topology and analysis

Anonymous

Anonymous Mon 16 Nov 2020 00:55:47 No.12347712 Report

Quoted By:

>>12346434
>>12347674
In the pic it looks like it would have to do with diff geo. Differential geometry tends to spam stupid linear algebra shit, especially with tensors, so learn that.

If you want to learn diff geo, and not go through that entire list, learn basic math, calculus1-3, linear algebra, and ps topology.

Real analysis I recommend.

There’s more to the list if you want grad stuff or just extra subjects that schools do.

Anonymous

Anonymous Mon 16 Nov 2020 01:07:00 No.12347813 Report

Quoted By: >>12348870

>>12346434
>further mathematics
is that what brits call it?

Anonymous

Anonymous Mon 16 Nov 2020 05:40:06 No.12348870 Report

Quoted By:

>>12347813
Yes, in A level

Anonymous

Anonymous Mon 16 Nov 2020 16:29:51 No.12350147 Report

Quoted By: >>12350150

>>12346434
not op but how do you into math
math was the reason i got kicked out of school and i think the last thing i was able to grasp was some very early algebra stuff in middle school and i suddenly found it extremely hard to jive with math
i want to be autistic about group theory and geometry, how do i get there, i am not a mostly functional 24y/o adult so i fear my ability to learn is deeply damaged

Anonymous

Anonymous Mon 16 Nov 2020 16:30:53 No.12350150 Report

Quoted By:

>>12350147
>not
kek aint that the fucking truth
now*

Anonymous

Anonymous Mon 16 Nov 2020 17:12:24 No.12350253 Report

Quoted By:

Wildberger helped me understand Trig

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