Where can I learn taylor series and combinatorics?

[AlfredPyo]

I want to learn combinatorics.
Please send links?

If possible, can you explain now?

 

[Evo]

Several members recommended you start here https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic

 

[AlfredPyo]

thanks, but what about taylor series?
I want to learn taylor series and how to solve hard traylor series problems.

(I haven't learned it yet, but I saw the solution key to mathematics tournaments and taylor series were used all the time for calculus problems) So I want to learn it.

 

[Yellowflash]

That is not good motivation for learning mathematics.

 

[xiavatar]

Hey at least he's motivated about doing math. Everyone has to develop there passion for math from someplace.

 

[Yellowflash]

Hey at least he's motivated about doing math. Everyone has to develop there passion for math from someplace.

Yes, motivation is good but doing something to succeed on competitions (by the way, just learning this stuff will not make you able to solve the problems on competitions as they usually require problem solving skills which come through practice), for prestige etc is not a good method.

 

[xiavatar]

I know that a lot of people say that they don't want prestige, but human beings are vain to a certain degree. And so it does feel nice to succeed in a tournament, especially since the OP is in high school. But what I am trying to say is that by getting interested in math competitions he might just become fascinated with the subject in its own right. In fact, that was how G.H. Hardy became interested in mathematics, by competing with his peers in secondary school.

 

[Yellowflash]

I know that a lot of people say that they don't want prestige, but human beings are vain to a certain degree. And so it does feel nice to succeed in a tournament, especially since the OP is in high school. But what I am trying to say is that by getting interested in math competitions he might just become fascinated with the subject in its own right. In fact, that was how G.H. Hardy became interested in mathematics, by competing with his peers in secondary school.

OK, it is true that one may develop a love for mathematics through competitions.

Going back to the original topic, I think
http://tutorial.math.lamar.edu/Classes/CalcII/TaylorSeries.aspx
is a good place.

 

[jaredvert]

First learn taylor polynomials, it's no different but ever expanding. Sources: in hs too

 

[verty]

Chapter 14 http://www.math.utsc.utoronto.ca/calculus/Redbook/ looks pretty decent for Taylor series.

 

[AlfredPyo]

Chapter 14 http://www.math.utsc.utoronto.ca/calculus/Redbook/ looks pretty decent for Taylor series.

What book?

 

[xiavatar]

Click the hyperlink, "here", in Verty's post.

 

[AlfredPyo]

Several members recommended you start here https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic

Even though you have the link showing videos, is there any textbook that I can get that at least has combinatorics? Because I need to have problems to solve.

 

[Yellowflash]

"Mathematics of Choice: Or, How to Count Without Counting" by Niven.

 

[xiavatar]

These two books are good for problems.

Combinatorics Problems and Solutions by Stefan Hollos
A Path to Combinatorics for Undergraduates: Counting Strategies by Titu Andreescu.

 

[AlfredPyo]

Thanks

 

[Fusiontron]

You should use Paul's Notes for all intro college math.

 

[AlfredPyo]

Ok thank you all