Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2009-12-10 13:07:18

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Solving Polynomials

Just finished Solving Polynomials

Feedback please!


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#2 2009-12-10 13:31:29

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,467

Re: Solving Polynomials

Hi MathsisFun;

Typo, 1 / 4 down the page "posible"

Good page: lots of people don't understand the geometric significance of a root as a place where the equation crosses the x axis. Liked that you recommend eyeballing the graph for root estimation. Super important in numerical analysis to get an initial value ( fancy term for guess ) of the root and most people never look at the graph!

Beginnings of asymptotic analysis and Big Oh at the bottom with pointing out how the x^3 term drowns out the x^2 term!

2 Thumbs up!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#3 2009-12-10 14:56:39

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Solving Polynomials

Thanks, bobby! Will fix typo.

bobbym wrote:

Beginnings of asymptotic analysis and Big Oh at the bottom with pointing out how the x^3 term drowns out the x^2 term!

Yes! Future pages!


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#4 2009-12-11 13:20:20

ccmint
Member
Registered: 2009-10-11
Posts: 22

Re: Solving Polynomials

Page looks great! big_smile up

Offline

#5 2009-12-11 16:16:29

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Solving Polynomials

Thanks!


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#6 2010-01-02 13:08:22

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Solving Polynomials

I have completely remade the Solving Polynomials page

I included more general advice and moved the middle section to a new page called How Polynomials Behave

Is it all good?


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#7 2010-01-04 01:27:28

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,467

Re: Solving Polynomials

Hi MathsisFun;

Typo, About 1/4 down the page 'whol'

Might be good to mention the fact, that someone else pointed out that there are poly's that don't cross the x axis, they just touch it at a point. Oh wait, I see you covered it further down the page.

Excellent that you through in some "Theory of equations" on the bounds page. That is an important point. Because we know so much about polynomials that is why why we use them to approximate other functions.

Good Page and good work and Happy 2010!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

#8 2010-01-04 13:11:49

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Solving Polynomials

Thanks Bobby! Much appreciated.


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#9 2010-01-07 11:30:02

elite-mathlete
Member
Registered: 2006-07-16
Posts: 40

Re: Solving Polynomials

Dude I just learned about Polynomials today, so thanks!


Maybe the helicopter, maybe it's made of chocolate.

Offline

#10 2010-01-07 13:57:48

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Solving Polynomials

You are welcome!


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

Offline

#11 2010-01-07 14:32:07

elite-mathlete
Member
Registered: 2006-07-16
Posts: 40

Re: Solving Polynomials

MathsIsFun wrote:

You are welcome!

For some reason you guys explain it better. big_smile


Maybe the helicopter, maybe it's made of chocolate.

Offline

Board footer

Powered by FluxBB