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Welcome to OMC, the world's first Online Math Circle. OMC's goal is to create a more level playing field in the realms of math contest preparation and higher level mathematics study for pre-university students. OMC believes that students should have an equal opportunity to receive further education regardless of financial or location-based restrictions. I wish you well in your studies and competitions, and, more importantly, I hope you enjoy the journey there!
-Shri Ganeshram
CEO and Founder of OMC
Tag Archives: Lecture
Polynomials
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(get an open source, free pdf viewer for windows, for linux (gnome), and for mac to view the lecture, Adobe PDF reader works, though we encourage using open source software)
(In order to open the source file, you need an archive utility that can handle “.zip” files. We recommend the Open Source 7-Zip for windows, or p7zip for linux and for mac.)
Above are the Lecture and Source Files (original code and images) for the Lecture. Share OnlineMathCircle with all of your friends and enjoy the problem solving!
All OnlineMathCircle Lectures are released under the CC, meaning that you can feel free to distribute and reuse the material (for non-commercial purposes). So, go ahead and share this lecture with your friends and at your math club!
Enjoy the mathematics!
-Shri
Mass points and Continued Fractions
http://onlinemathcircle.com/wp-content/uploads/2011/07/Mass-Points.pdf
2nd article: Continued Fractions (PDF)
(get an open source, free pdf viewer for windows, for linux (gnome), and for mac to view the lecture, Adobe PDF reader works, though we encourage using open source software)
(In order to open the source file, you need an archive utility that can handle “.zip” files. We recommend the Open Source 7-Zip for windows, or p7zip for linux and for mac.)
Above are the Lecture and Source Files (original code and images) for the Lecture. Share OnlineMathCircle with all of your friends and enjoy the problem solving!
All OnlineMathCircle Lectures are released under the CC, meaning that you can feel free to distribute and reuse the material (for non-commercial purposes). So, go ahead and share this lecture with your friends and at your math club!
Enjoy the mathematics!
-Shri
Rearrangement Inequality
Rearrangement Inequality (PDF)
(get an open source, free pdf viewer for windows, for linux (gnome), and for mac to view the lecture, Adobe PDF reader works, though we encourage using open source software)
Rearrangement Inequality source
(In order to open the source file, you need an archive utility that can handle “.zip” files. We recommend the Open Source 7-Zip for windows, or p7zip for linux and for mac.)
Above are the Lecture and Source Files (original code and images) for the Lecture. Share OnlineMathCircle with all of your friends and enjoy the problem solving!
All OnlineMathCircle Lectures are released under the CC, meaning that you can feel free to distribute and reuse the material (for non-commercial purposes). So, go ahead and share this lecture with your friends and at your math club!
Enjoy the mathematics!
-Shri
Linearly Recurrent Series – Karan Pahil
Linearly Recurrent Series(PDF)
(get an open source, free pdf viewer for windows, for linux (gnome), and for mac to view the lecture, Adobe PDF reader works, though we encourage using open source software)
Linearly Recurrent Series Source
(In order to open the source file, you need an archive utility that can handle “.zip” files. We recommend the Open Source 7-Zip for windows, or p7zip for linux and for mac.)
Above are the Lecture and Source Files (original code and images) for the Lecture. Share OnlineMathCircle with all of your friends; enjoy the problem solving; and thank the generous author–Karan Pahil.
All OnlineMathCircle Lectures are released under the CC, meaning that you can feel free to distribute and reuse the material (for non-commercial purposes). So, go ahead and share this lecture with your friends and at your math club!
Enjoy the mathematics!
-Shri
Invariance Principle–Yoni Miller
(No source file is available; this will be updated as soon as possible)
All OnlineMathCircle Lectures are released under the CC, meaning that you can feel free to distribute and reuse the material (for non-commercial purposes). So, go ahead and share this lecture with your friends and at your math club!
Enjoy the mathematics!
-Shri
Principle of Inclusion and Exclusion
Principle of Inclusion and Exclusion(PDF)
(get an open source, free pdf viewer for windows, for linux (gnome), and for mac to view the lecture, Adobe PDF reader works, though we encourage using open source software)
(In order to open the source file, you need an archive utility that can handle “.zip” files. We recommend the Open Source 7-Zip for windows, or p7zip for linux and for mac.)
Above are the Lecture and Source Files (original code and images) for the Lecture. Share OnlineMathCircle with all of your friends; enjoy the problem solving; and thank the generous authors–Holden Lee/Yoni Miller.
All OnlineMathCircle Lectures are released under the CC, meaning that you can feel free to distribute and reuse the material (for non-commercial purposes). So, go ahead and share this lecture with your friends and at your math club!
Enjoy the mathematics!
-Shri
Math Magic–Shri Ganeshram/Yoni Miller
(get an open source, free pdf viewer for windows, for linux (gnome), and for mac to view the lecture, Adobe PDF reader works, though we encourage using open source software)
(In order to open the source file, you need an archive utility that can handle “.zip” files. We recommend the Open Source 7-Zip for windows, or p7zip for linux and for mac.)
Above are the Lecture and Source Files (original code and images) for the Lecture. Share OnlineMathCircle with all of your friends; enjoy the problem solving; and thank the generous author–Shri Ganeshram/Yoni Miller.
All OnlineMathCircle Lectures are released under the CC, meaning that you can feel free to distribute and reuse the material (for non-commercial purposes). So, go ahead and share this lecture with your friends and at your math club!
Enjoy the mathematics!
-Shri
Generating Functions–Holden Lee
(get an open source, free pdf viewer for windows, for linux (gnome), and for mac to view the lecture, Adobe PDF reader works, though we encourage using open source software)
(In order to open the source file, you need an archive utility that can handle “.zip” files. We recommend the Open Source 7-Zip for windows, or p7zip for linux and for mac.)
Above are the Lecture and Source Files (original code and images) for the Lecture. Share OnlineMathCircle with all of your friends; enjoy the problem solving; and thank the generous author–Holden Lee.
All OnlineMathCircle Lectures are released under the CC, meaning that you can feel free to distribute and reuse the material (for non-commercial purposes). So, go ahead and share this lecture with your friends and at your math club!
Enjoy the mathematics!
-Shri
Induction
(get an open source, free pdf viewer for windows, for linux (gnome), for mac to view the lecture, Adobe PDF reader works, though we encourage using open source software)
Above are the Lecture and Source Files (original code and images) for the Lecture. Share OnlineMathCircle with all of your friends; enjoy the problem solving; and thank the generous author–Yoni Miller.
All OnlineMathCircle Lectures are released under the CC, meaning that you can feel free to distribute and reuse the material (for non-commercial purposes). So, go ahead and share this lecture with your friends and at your math club!
Enjoy the mathematics!
-Shri
Polynomials And Irreducibility–Shri Ganeshram
So, it was definitely about time that I wrote a lecture. ^^ I worked pretty hard on this, though I don’t think it’s quite the level (over 9000) of Holden’s pieces. Regardless, I think most of it is pretty good, especially the problems and theorems! 
Enjoy!
Polynomials And Irreducibility(PDF)
(get an open source, free pdf viewer for windows, for linux (gnome), and for mac to view the lecture, Adobe PDF reader works, though we encourage using open source software)
Polynomials And Irreducibility Source
The Source is really, really messy in LaTeX. I didn’t practice good organizational habits thanks to lack of experience in TeX coding. The next lecture should be cleaner.
(In order to open the source file, you need an archive utility that can handle “.zip” files. We recommend the Open Source 7-Zip for windows, or p7zip for linux and for mac.)
Above are the Lecture and Source Files (original code and images) for the Lecture. Share OnlineMathCircle with all of your friends and enjoy the problem solving!
All OnlineMathCircle Lectures are released under the CC, meaning that you can feel free to distribute and reuse the material (for non-commercial purposes). So, go ahead and share this lecture with your friends and at your math club!
Enjoy the mathematics!
-Shri
P.S. A special thanks to Holden for some corrections in formatting and in a couple of pieces of math!