Dear Fellow Brilliant Members and Awesome staff, I would like to ask you all as to how to improve my mathematics skills especially in the topics Algebra, Geometry and Advanced Combinatorics. I am very weak at solving equations and also finding the maxima and minima using algebra. Rather, I would say I am not familiar with them( many level 4 problems are based on these). Brilliant Technique trainer unfortunately doesnt have good material for the above mentioned topics. When it comes to geometry, I am hopeless at proofs and would like to work on them. Combinatorics also is something where I lack a good base in. I would like to know about some resources for the above topics and also methods on how to improve on them and become like most of the Brilliant prodigies here! Thanks.

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TopNewest@Satvik Golechha -Whoa!!!! That was so much in 2-3 days!!! How did you learn so much? You solved 5 level 4-5 geo problems and posted a super tricky dioophantine!!! How did you,.....Please...tell me – Krishna Ar · 2 years, 3 months ago

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@Krishna Ar That actually was too much for 2-3 days....... I made great guesses in 20 level 4-5 in geometry, and I got 4 correct...... and 2 of them had the same answer :D BTW d'you know how to solve diophantines? Is there a specific method? – Satvik Golechha · 2 years, 3 months ago

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@Satvik Golechha -I actually am slowly building up on things. I totally don't know about Diophantines (I can guess solutions using Mr.Euclid though :P),I think you're well aware about it since u've posted a super-hard problem on it!!!! ...And wait- How are you so evasive and always like- Out of 20 guesses got 4-5 right- too undeprlaying right?? – Krishna Ar · 2 years, 3 months ago

My dear Satvik :Log in to reply

@Krishna Ar I do not know even the definition of Diophantines, it just happened that a teacher gave such a question in the class.... And I am not being anything evasive.... I literally got 4 out of 20 guesses right. ><_))I – Satvik Golechha · 2 years, 3 months ago

My dear Krishna :Log in to reply

– Krishna Ar · 2 years, 3 months ago

:P- K FIne..But i still can't believe that you solve so many problem by luck -_-Log in to reply

@Satvik Golechha My friends in school also don't believe it! :D – Satvik Golechha · 2 years, 3 months ago

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@Satvik Golechha - because they know that you're genius!!! – Krishna Ar · 2 years, 3 months ago

Of courseLog in to reply

@Krishna Ar Let me tell you AAMOF that I was not even selected in NMTC stage 1, while 20 students were.... – Satvik Golechha · 2 years, 3 months ago

I am nothing in front of the students I'm studying with.Log in to reply

@Satvik Golechha – Krishna Ar · 2 years, 3 months ago

AAMOF? You've learnt a quite lot in these few days and are solving too many awesome problems, especially inequalitites and calculusLog in to reply

@Krishna Ar – Satvik Golechha · 2 years, 3 months ago

Our teacher has started teaching inequalities, so I'm trying em'.....Log in to reply

– Krishna Ar · 2 years, 3 months ago

Hmm...they do teach you quite a lot of extra's/// and only started and you tried and solved so many....wondrous!!!Log in to reply

@Krishna Ar Actually, they had ended inequalities, but I thought that was the starting... :D (Now you don' make anythin' o' it.) – Satvik Golechha · 2 years, 3 months ago

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– Krishna Ar · 2 years, 3 months ago

Why don't you try,like and reshare my new problem? I do hope its easy as well as interesting. How are preps for Olys'?Log in to reply

@Kartica Modi - Hi! Thanks for following me! I'd like to know how you learn algebra and number theory. You've recently hit level 5 in number theory and apart from that solve real tough problems in algebra. ( Eg- that geometrical inequality), so how do you know all this at 14? How did you go about learning this? I hope you check your email! ;) Thanks and look forward too your reply – Krishna Ar · 2 years, 4 months ago

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@Aneesh Kundu -Hi! Sorry for tagging you here and I apologize if you didn't like it. I saw that off-late you've been solving a lot of geometry level 3 and 4 problems. And, you're of my age too. Thus I would request you to kindly help me improve my geometry skills. I see that you could help me out with the topics that I need to learn to get going. AFAIK, Geometry is never dealt with in detail in school curricula , so I would also like to know how you have such an indepth knowledge of this subject. Thanks in advance. Hope you would reply :) – Krishna Ar · 2 years, 4 months ago

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Sorry for my late reply. – Aneesh Kundu · 2 years, 1 month ago

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Yes, are the resources to learn combinactorics and number-theory – Mardokay Mosazghi · 2 years, 5 months ago

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– Krishna Ar · 2 years, 5 months ago

? Is this an answer or a question? Can you suggest me some resources for algebra, geometry and combinatorics?Log in to reply

– Mardokay Mosazghi · 2 years, 5 months ago

Sorry, For Geometry I use Wikipedia and wolfram alpha to study new concepts and learn proofs.And what do you use to learn number-theory I am so bad at number theory.Any suggestions?Log in to reply

@Mardokay Mosazghi - Please tell me as to how you use WA to learn geometry. How do you in general learn geometry? I consider it to be the weakest part of my math...pl rply – Krishna Ar · 2 years, 4 months ago

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– Krishna Ar · 2 years, 5 months ago

Oh La La! You're a level 5 in geometry....How??????Log in to reply

– Krishna Ar · 2 years, 5 months ago

Ok...number theory is one of my favourite branches of math...I just picked it up from random problems. I still am not that good at manipulating congruences. May I know how Wolfram Alpha is used? And what is the secret to your super-good physics? I'm currently reading a book ( Indian)- called " Numbers and fun with them" which has a good dose of number theory infused in it and otherwise I just learn from solving problems and...my level 5 in number theory was not sheerly the result of effort :PLog in to reply

– Mardokay Mosazghi · 2 years, 5 months ago

Also for physics just read the concepts and use exercise book and since you have the internet I use physicsgalaxy.com which is great because it starts with the basics and teaches you advanced parts.I am not that good at physics but I use mostly wikepedia to learn new stuff searching and surfing I guess, can you suggest any book for number theory.Also what greade are you in?Log in to reply

@Mardokay Mosazghi - Hey! You're a level 5 in Algebra ....so you must be able to tell me as to how to improve my algebra...websites/books/resources of any kind are welcome. And also don't forget to answer as to how to use WA in geometry ( u said u use it so). Thanks :) – Krishna Ar · 2 years, 5 months ago

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– Krishna Ar · 2 years, 5 months ago

Ok...Book for number theory...sorry I don't know..but If I use one and have found it useful.. I shall let you know...What about algebra resources? And how do you exactly use Wolfram Alpha for geometry?...I am a year younger to youLog in to reply

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– Krishna Ar · 2 years, 5 months ago

Yup if 8th grade is the equivalent of a 14 year oldLog in to reply