Prof. Swadhin Pattanayak is the founder director of the Institute of Mathematics and its Applications (IMA) at Bhubaneshwar. Apart from being a very good mathematician, he is also an inspiring teacher. At present he ...
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Gonit Sora Notes: Probability Theory
Gonit Sora is introducing a new initiative where we shall post class notes of various topics related to an undergraduate curriculum. These notes will be based on some actual course at some university and will follow the actual classes.
The first of this series is a set of notes on Probability Theory which forms a course for the Integrated Masters programme at Tezpur University, Assam in the 8th semester. The notes can be downloaded here. These notes have been typed by Manjil P. Saikia and Rupam Haloi. Please note that these notes are not complete and we shall be regularly updating them and posting them on a separate page. In case you find any mistakes then please do not hesitate to inform us immediately.
মৌলিক সংখ্যা আৰু ইয়াৰ গোপন বতৰা
সৰলতৰ সমস্যা কেতবোৰ গণিতত অতি আমোদজনকভাৱে আত্মগমনকাৰী। পাটীগণিতৰ সমস্যা কেতবোৰ খুব সম্ভৱ সকলোতকৈ সৰলতৰ আৰু তুলনামূলকভাৱে স্বাভাৱিক। পাটীগণিতৰ নাম ল’লেই ইয়াৰ লগত এৰাব নোৱাৰাকৈ জড়িত স্বাভাৱিক সংখ্যাসমূহ, যেনে, 1, 2, 3, 4,... এইবোৰ আহি পৰে ...
Mathletics 2013 (Category IV) - Assam Academy of Mathematics
(Class XI and XII)
Marks: 100
Time: 3 Hours
[Answer in English. Two students of the group will discuss the solution of the problems and then write the answer in a khata for the group. No third person ...
Mathletics 2013 (Category III) - Assam Academy of Mathematics
(Class IX and X)
Marks: 100
Time: 3 Hours
[Answer the following questions in English or in mother tongue. Two students of the group will discuss the solutions of the problems and write answer in a khata for ...
Mathletics 2013 (Category II) - Assam Academy of Mathematics
(Class VII and VIII)
Marks: 100 = 5X20
Time: 3 Hours
[Answer the following questions in English or in mother tongue. Two members of each group will discuss the solutions of the problems and one of them will ...
Mathletics 2013 (Category I) - Assam Academy of Mathematics
(Class V and VI)
Marks: 100 = 5X20
Time: 3 Hours
[Answer the following questions in English or in mother tongue. Two participants will discuss the solutions of the problems and they will write the answer in a ...
অপৰিমেয় সংখ্যা আৰু ইউক্লিডৰ দশম কিতাপখন
দৈৰ্ঘ্য, কালি, আয়তন ওজন বা বৈদ্যুতিক আধান ইত্যাদি সম্পৰ্কীয় জোখ বুজাবলৈ প্ৰয়োজন হোৱা চিহ্নবোৰেই প্ৰকৃততে মানৱ মনক বাস্তৱ সংখ্যাৰ ধাৰণাৰ ফালে লৈ আহিল। এই জোখবোৰক অতি স্বাভাৱিক অৰ্থত সিহঁতক নিজৰ মাজত যোগ কৰিব পৰাটো এটা ...
কাল্পনিক সংখ্যা
গণিতত কল্পনা! সঁচাকৈয়ে যুক্তিৰ বাহিৰত যেনেই লাগে। পিছে গাণিতিক যুক্তিৰ নিছিগা হাৰডালিত গণিতৰ নানা হীৰা মৰকত গাঁথি যাঁওতে গণিতজ্ঞসকলে যিধৰণৰ সমস্যাৰ সমুখীন হ’ব লগা হয় সেই সকলোবোৰেই গণিতৰ অগ্ৰগতিৰ ইতিহাসত নিজে নিজে সোমাই পৰে আৰু ...
The Number of Solutions of a System of Linear Equations
The standard form of a linear equation in n unknowns x_1,x_2,\dots ,x_n is
a_1x_1+a_2x_2+\dots +a_nx_n=b,
where a_1,a_2,\dots ,a_n and b are constants.
Here constants mean some real numbers (these constants may come from any number field).
A collection of ...
If p is a prime then √p is irrational
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To prove √p is irrational, where p is a prime, we will need the following theorem:
Theorem: If p is prime then p|ab, then p|a or p|b.
Proof: If p|a, we are done. So let us assume ...
An Interview with Prof. Swadhin Pattanayak
Prof. Swadhin Pattanayak is the founder director of the Institute of Mathematics and its Applications (IMA) at Bhubaneshwar. Apart from being a very good mathematician, he is also an inspiring teacher. At present he ...
Fundamental Theorem of Algebra
Prof. S. C. Arora, formerly from the University of Delhi gave a talk recently at Tezpur University on the Fundamental Theorem of Algebra. We are thankful to Prof. Arora for allowing us to share the ...
Deligne wins Abel Prize 2013
This year's Abel Prize has been awarded to the Belgian mathematician Pierre Deligne for "seminal contributions to algebraic geometry and for their transformative impact on number theory, representation theory, and related fields". The Abel Prize was established ...
Pi Day
Pi Day is an annual celebration commemorating the mathematical constant π (pi). Pi Day is observed on March 14 (or 3/14 in month/day date format), since 3, 1 and 4 are the three most significant ...
Astrology and mental health
Astrology forms an aspect of life for most of the Indian populace. Astrological consultations are common during important events like birth, marriage, in matters of education, job, disease etc. There are examples galore to validate ...
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