Help with inequalities

Though I know a few (Very few) Basic inequalities like the AM-GM-HM, RMS-AM-GM, etc., I feel that I am not able to use them properly with problems. Thus I would be very grateful if someone could suggest material online containing large number of examples which would help me get familiarized with solving inequalites.

Thanks!!

#Inequalities #HelpMe! #Help #brillianthelp #Pleasehelp

Easy Math Editor

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Math	Appears 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}`	$\boxed{123}$

Comments

Refer to the book $\color{#D61F06}{\text{Inequalities : An Approach Through Problems}}$ , Written by $\text{B. J. Venkatachala}$ . And if you like to read notes, you can find them in mine or @Dinesh Chavan 's feed.... Dinesh likes inequalities problems, and so do I (nowadays)!!!

Also, add the $#inequalities$ and All the hash tags related to inequalities like the " $#AM-GM$ , $#AM-GMInequality$ , $#CauchySchwarzInequality$ , $#Chebyshev'sInequality$ " and all else.... If you want some problems and little bit theory of them, some notes are there in Dinesh Chavan's feed and I have also written one recently....

Here is the link of the book I mentioned (it's of amazon so costs 500 rupees), but you may try to search it for free at libgen.org. It's really helpful book, and when I had gone for the $\text{INMOTC}$ , they also told to refer this book .... (This statement was meant for underlining the importance of this book)

Inequalities

Aditya Raut - 6 years, 11 months ago

thanks ....... i'll try it too :)

Abhinav Raichur - 6 years, 11 months ago

Thanks for replying :D. I shall try to get that but I'd actually wanted to know of some online resource though! Talking about INMOTC-Can you tell how you actually did prepare for RMO? I see that you cleared it with distinction..so....

Krishna Ar - 6 years, 11 months ago

Thanks

Rakshit Joshi - 4 years, 11 months ago

If you want online, http://www.artofproblemsolving.com/Wiki/index.php/Resourcesformathematics_competitions for more problem sets. Or maybe for more concept, http://yufeizhao.com/wc08/ineq.pdf or http://www.mathsolympiad.org.nz/wp-content/uploads/2008/12/inequalities.pdf. I hope it helps.

John Ashley Capellan - 6 years, 11 months ago

Thanks John for replying. But I guess you missed out a major point- Examples, right from simple to tough ones!!.

Krishna Ar - 6 years, 11 months ago

If you think that you really master, then attempt these...

John Ashley Capellan - 6 years, 11 months ago

@John Ashley Capellan – I never said that I was a master!!! I actually meant that I wanted more examples :)

Krishna Ar - 6 years, 11 months ago

@Krishna Ar – No.. what I mean is that to master more.. you answer the problems there..

John Ashley Capellan - 6 years, 11 months ago

Yeah! Same problem here... These basic inequalies are not much comfortable!

Pranjal Jain - 6 years, 10 months ago

Search on google $\text{ The Cauchy-Schwartz Master class}$ . This book is very helpful and contains a detailed explanation how to use and where to use the inequalities. Also it has very good problems. While searching on google just mention 'pdf' and you will get it. All the best.

Kunal Joshi - 6 years, 10 months ago

To save you some time, here's the book.

mathh mathh - 6 years, 10 months ago

thanks bro .. its really good :) ...... @Krishna Ar you should really try this. :)

Abhinav Raichur - 6 years, 10 months ago

Thanks for replying :). I actually found this quite tough after a few initial pages. Maybe I must come-back after reading a more elementary book. Tx again! :)

Krishna Ar - 6 years, 10 months ago

@Ashu Dablo : Congrats for winning Brainiac Delhi edition. Can you please help me out by telling me as to how the questions were, how to go about preparing? If you don't mind, could I have your email please?

Krishna Ar - 6 years, 6 months ago

Thanks bro. Yeah, sure.

The id is thedashingboy.ashim@gmail.com

I know it sounds lame, but well, I was in class 3 when I made this.

@Krishna Ar you taking part in which edition??

Ashu Dablo - 6 years, 6 months ago

I'm taking part in the South edition (Chennai) on 10/1/15 :P. I have just sent you a mail , Do check it out. Thanks ^_^

Krishna Ar - 6 years, 6 months ago

@mathh mathh @Finn Hulse @Daniel Liu and others!

Krishna Ar - 6 years, 11 months ago

well, why don't you just search for them yourself? Here you can click on 'Inequalities Marathon' to find a lot of problems with solutions, you can also try 'Inequalities: A Mathematical Olympiad Approach', where in the pages 7-13 there are some AM-GM problems with solutions in the back of the book.

You can click on the next google page and click on 'Pham Kim Hung', a really great book ('Secrets in Inequalities'). Maybe 'Introduction to Inequalities' also. These are just random examples, there are so many pdf's on the google search, you can find some good ones there.

mathh mathh - 6 years, 11 months ago

Chill please! I'm sorry if I'd unnecessarily tagged you in. Thanks

Krishna Ar - 6 years, 11 months ago

@Krishna Ar – oh, sorry if I sounded rude, didn't mean to.

mathh mathh - 6 years, 11 months ago

@Mathh Mathh – :) its ok

Krishna Ar - 6 years, 11 months ago

I have a PDF file by thomas mildorf ....... and it has all kinda problems from easy to really uncomfortable problems!! ............... I could send it if you drop in your e-mail ID in the comment box below :)

Abhinav Raichur - 6 years, 11 months ago

You probably mean this one.

mathh mathh - 6 years, 11 months ago

@Krishna Ar @mathh mathh ........ sorry guys thats the same one :p

Abhinav Raichur - 6 years, 10 months ago

Thanks for adding in :) I guess it was the same which Mathh had mentioned

Krishna Ar - 6 years, 10 months ago

Math	Appears 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}`	$\boxed{123}$