Need Help

Can someone Explain Newton's Sums to me?

The explanation,Some examples and a few exercise Problems would be really appreciated.

Note by Mehul Arora
3 years, 3 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

Do you still need help ?

- 3 years, 3 months ago

Yeah... Newton sums are still going over my head, although I understood like 20% of it XD

- 3 years, 3 months ago

Ok. Where do you have a doubt ?

- 3 years, 3 months ago

Like I'm trying but kinda not understanding the terminology basically.. Like ini the Brilliant wiki, What is P1? etc... Maybe if I can understand the terminology Ill be able to comprehend it.

- 3 years, 3 months ago

$$P_n$$ means (For a quadratic polynomial) that $$P_n = a^n + b^n$$ where $$(a,b)$$ are roots of Polynomial $$f(x)$$
Any other Problem ?

- 3 years, 3 months ago

Start solving questions :)

- 3 years, 3 months ago

Yeah.. I am trying. Just learnt Vieta's. Trying to perfect it. :)

- 3 years, 3 months ago

Best of luck :)

- 3 years, 3 months ago

Thanks!!

- 3 years, 3 months ago

Sorry, not at home. Answering from mobile (difficult to type). Will be home in 2-3 days. Will surely help you then.

- 3 years, 3 months ago

When's your vacation going to be over ?

- 3 years, 3 months ago

I 'll be at home on 25th. And my School.starts on 1st April.

- 3 years, 3 months ago

Ok. Enjoy :)

- 3 years, 3 months ago

Check out the Brilliant wiki - Newton's Identities, which is in the Vieta formula chapter in algebra.

Staff - 3 years, 3 months ago

Sir, I did go through to the wiki but it went over my head. Can someone please explain it in an easier fashion?

- 3 years, 3 months ago

Have you tried the Brilliant wiki on it ?

- 3 years, 3 months ago

Yeah.. I didn't learn much. The wiki must be good though it went over my head.

- 3 years, 3 months ago

Then try the AoPS wiki on Newton's Sums . I had learnt it from there since when I had learnt it , the wiki on Brilliant wasn't filled out . Or you can always download some pdfs on the topic . Now that always works (for me atleast!)

- 3 years, 3 months ago

Can you give me some links (apart from AoPS)

- 3 years, 3 months ago

Hmm ,strange . I couldn't find any good pdf for this topic . But try it out yourself and if you have any doubt in it , ask here and I'll only be glad to help you out :)

- 3 years, 3 months ago

Do you have Hall and Knight ? If so , please check pg 468 .

- 3 years, 3 months ago

Nope.. Which class is it aimed at?

- 3 years, 3 months ago

It's just a ref. book for Algebra .

- 3 years, 3 months ago

Well, it'd be better if you could point out the parts you don't understand in the Brilliant wiki on Newton's sums.

Also, I'd recommend the Wikipedia article on Newton's Identities. I learnt it from there. :D

There are two points to note when learning Newton's Identities. It is a method that helps you to form a recurrence for power sums of roots, so it'd be better if you have a good understanding of recurrence relations. Also, applications of Newton's Identities mostly use Vieta's formulas because you need to find the elementary symmetric polynomials first before calculating the power sums. If you get confused with "too many formulas" there, just remember the concise form stated in the Brilliant wiki under the section "General Form".

- 3 years, 3 months ago

I have learnt all the Vietas formulae but Ill start working on the Recurrence relations right away...

Wah wah!! XD

- 3 years, 3 months ago