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No.92
Some mathematics textbooks for you.
No.93
Fundamentals of Mathematics
No.94
Grade 12 Mathematics
No.95
Trigonometry
No.96
Pre-Calculus
No.97
Introduction to Discrete Mathematics
No.98
A-Level Modular Mathematics, Chapters 1 and 2
No.99
Advanced High School Mathematics
No.100
GCE Further Mathematics
No.101
Calculus
No.102
Vector Calculus
No.103
A Course of Pure Mathematics
(by G.H.Hardy; this one's a bit of a classic in the mathematics world)
No.104
Further Complex Numbers
No.105
Notes on Probability
No.109
Cambridge University Undergraduate Mathematics Workbook
No.151
No.154
Which one do I need if I want to refresh my knowledge about matrixes, than sin/cos stuff, whatever it's called in English, and and stuff like logarithms?
No.157
>>154The "sin/cos stuff" would be Trigonometry, I think anon, so is this any use to you
>>95 ?
Here are a couple of documents that might be useful to you. The first is "Linear Algebra and Matrices" and the second is "Explaining Logarithms". You might want to try having a look at some of the Pre-Calculus before you jump into the matrices, depending on how confident you are already.
Hope this helps.
No.159
No.176
If I wanted to learn Mathematics from the most basic concepts to the more advanced ideas, where should I start?
Is there a natural progression in learning it? I was terrible at mathematics from my school days.
No.177
>>176There certainly is a natural progression in learning mathematics - of course later on there are more specialized fields but to begin with things are quite linear, you'll be building on things you've done before, not just learning completely new things (but there is a lot of that too!)
What kind of level do you think you are at at the moment anon? That'll determine where you might want to start. I mean, how basic a basic concept are we talking here?
No.178
>>177I wanted to start at the beginning, so to speak. Always was terrible with pre-calc and calc. I think my trigo and algebra is terrible. My country's education forces you to move on to the next stage regardless of how well you truly grasp the earlier material.
The ignorance and mistakes compounds till you're not really Anything you're doing, you're writing down formulas and solving questions without really understanding.
Assume I am a beginner to mathematics as a whole as much it shames me to admit this to a total stranger.
No.179
*understanding anything
No.180
>>178Yeah, it's a real shame when people are rushed through things they are genuinely interested in learning. As an autodidact you can go at your own pace.
Just to get back into things and work out what kind of level you're at, try going through these two workbooks and see how you're doing (they've got answers at the back for you to check) and how easy you found it. The first is Algebra, the second Trigonometry. If you're completely comfortable with them, you're probably working at around Grade 10 - 12 or so. There's a Grade 12 textbook posted already so maybe have a go at that. If you feel completely out of your depth, might need to start more basic than that, which is fine. Don't be ashamed anon :)
No.181
>>180Is there a flow chart of mathematical subjects, though? Indicates what subjects you're suppose to know before going into the next level?
No.182
>>181I have this, it's not that useful for you though, but it's still interesting.
No.183
>>180Do you have more workbooks like these?
No.185
>>183A few more (not many!), and I might be able to source more.
What kind of subject/level are you looking for? This kind of level (Grades 10 - 12, roughly) is what I have most of in this Workbook w/ Answers format, some Undergraduate stuff but most of that I posted already (the Cambridge Undergrad Workbook might be worth a try?) Much beyond that I don't really have workbooks just papers etc.
No.188
>>182I was thinking something more along the lines of this, Math Anon.
https://www.oaklandcc.edu/mathematics/math_flowchart.aspx No.190
>>188I would just recommend books
Basic Math - Serge Lang
Pre-Calculus - Leithold
Calculus - Spivak
No.191
>>190In-keeping with the board's focus, if you know of where to find these for free or if you have a copy to share that would be great.
No.192
>>185I don't really need any, just thought they were nice.
No.194
>>192Well here are two very simple workbooks for absolute beginners (apologies for the child-like design on one of them, I really appreciate that mathematics, like any subject, is something to get into at any age, don't let it put you off)
No.195
>>194This one is more advanced, designed for a UK Year 12 audience (that's Grade 11 in the US, or around 16 years old), again it has solutions/answers included. Sorry that this might be a bit of a jump in the learning curve - I will try to source some more for Grades 6 through 10 if people want it.
No.196
>>195Sorry, that sound be UK Year 10 (I think? It's for AS/A Level)
Anyways, this next one is Grade 11 and again has solutions/answers at the back and covers a wide range of topics.
No.197
No.370
YouTube embed. Click thumbnail to play.
Do crazy math tricks to impress your friends!
But seriously, this is a pretty neat method for doing ridiculously quick mental arithmetic.
No.504
No.508
You are fucking based.
May your conjectures be proven and your calculations be sound.
No.590
No.672
Some more trigonometry.
The first one is a good quick-sheet.
No.673
>>672
And this is a really cool old trigonometry book from 1899, Harvard publishing
No.674
>>673
My mistake, not Harvard publishing, Harvard copy though.
No.743
I didn't have an easy time finding Serge Lang's book Basic Mathematics so when I found it I decided to upload it here so you guys can spread it around each other. I am also going to seed it for a while on kickass.
No.744
No.753
You're all God sent. Thank you.
No.754
>>743
Thank you so much dude, I was looking all over for this one.
No.763
Up to what point do the returns on math learning start decreasing for the average person?
Is there an incentive to study beyond algebra?
No.767
Here are some math books my Kent University. They seem to be basic introductions. Maybe someone will find them useful.
No.771
>>743
These are graduate texts, but here is Serge Lang's "Algebra":
https://drive.google.com/file/d/0B0XWNg1VDJucMVUtNzN3Z0xFR3M/edit?pli=1
And attached is Lang's "Algebraic Number Theory"
No.772
>>771
I'm not the greatest at math still trying tho but why are algebra books graduate texts? Shouldn't it have been already covered enough by then?
Is there more complexity to algebra?
No.774
>>772
>Shouldn't it have been already covered enough by then?
It's essentially the backbone of Mathematics – different topics in Algebra lead into different fields of Mathematics. Ever notice how, in High School, you essentially alternated between Algebra and other course? (Algebra I, Geometry, Algebra II, Trigonometry, Pre-Calculus – essentially a recap of Algebra and Trig, oftentimes alongside elementary Linear Algebra – and Calculus).
New research in Algebra is being developed to this day.
https://en.wikipedia.org/wiki/Algebra#Abstract_algebra
No.775
>>774
But I mean, why is serge's book "algebra" a graduate text though? shouldn't it be undergrad? unless I'm misunderstanding does it imply it's a more advanced level of algebra or is Algebra but built for the perspective of people that have more more knowledge and appreciation of math than if they would just be starting out in college?(i.e. review)
No.776
>>775
Advanced algebra. Just look at the table of contents and skim through it, dude.
No.810
UNESCO text on global mathematics education, so pretty fitting for this thread and this board.
No.935
Siklos, Advanced Problems in Mathematics - 43 advaned mathematical problems, complete with full solutions and discussion. These are used as a basis for conditional offers in Mathematics by Cambridge and Warwick Universities in the UK, apparently.
No.957
No.985
>>370
More on this insane(ly cool) method of mathematics
No.1018
No.1019
This is all going to come in handy, thank you very much