Manjil Saikia

Mathematician (Combinatorics, Number Theory and Theoretical Computer Science).

IMO

A score and a dozen : A collection of math problems

We present a problem collection with solutions for mathematical Olympiads, specially the Regional Mathematical Olympiad (RMO) and the Indian National Matjhematical Olympiad (INMO). The problems have been compiled by Bishal Deb from Salt Brook Academy, Dibrugarh. The set can be downloaded in pdf format here.

Astrophysics

The Kavli Prize

The Kavli Prize is one of the highly respected prizes in science in the 21st century. It recognises scientists for their seminal advances in three research areas: Astrophysics, nanoscience and neuroscience. Consisting of a scroll, a gold medal and a cash award of 1 million $, a prize in each of

Brahmagupta

The Vocabulary of Mathematical Analysis

1. Introduction The English word “vocabulary” refers to the “list of words” used in communicating one’s thought (or knowledge) to the others, and the English word “analysis” refers to the “resolution into simple elements”. Hence, according to the English dictionary, the “vocabulary of analysis” should refer to the list

Chaos

On Chaos in Dynamical Systems

It is well-known that in Newtonian dynamics, motion is controlled by certain differential equations along with certain initial conditions. The problem is formulated in such a manner that it becomes deterministic i.e. given the initial condition the subsequent motion is predictable i.e. there is one-one connection between time

General Theory of Relativity

Five great ‘Unsolved’ problems in Theoretical Physics

Theoretical Physics, considered one of the most thrilling, exciting and pain staking branches in all of sciences, deals with explaining the mysteries of the universe in the beautiful complexities of mathematics as it has been the language of physicists from time immemorial. The brilliant minds deeply immersed in this field

Fields' Medal

William P. Thurston, Theoretical Mathematician, Dies at 65

William P. Thurston, a mathematician who revolutionized understanding of the structure of three-dimensional spaces and won the Fields Medal, often described as the equivalent of the Nobel Prize for mathematics, died on Tuesday in Rochester. He was 65. Thurston’s geometrization conjecture states that compact 3-manifolds can be decomposed canonically

The Flower Puzzle

The Flower Puzzle Generalized

This article is a crazy generalization of the Flower puzzle by Ankush Goswami published in Gonit Sora on 12th July 2012. We now suppose that instead of three there are $$m$$ temples $$A_{1}, A_{2},dots ,A_{m }$$ and instead of doubling, the flowers increase $$n$$ times in number

Ramanujan

ৰামানুজন - গণিতজ্ঞ আৰু মানুহজন

মূল : এছ. ৰংগনাথন মুকলি অনুবাদ : খনীন চৌধুৰী প্ৰকাশক : অসম গণিত শিক্ষায়তন। প্ৰথম প্ৰকাশ : ১৭ জুলাই, ২০১১ সূচীপত্ৰ   অধ্যায় A –  ৰামানুজন- গণিতজ্ঞ আৰু

Calculus

Some Math Jokes and Quotes

“Since the mathematicians have invaded the theory of relativity, I do not understand it myself any more.” — Albert Einstein “Only professional mathematicians learn anything from proofs. Other people learn from explanations.” — Ralph Boas “An engineer thinks that his equations are an approximation to reality. A physicist thinks reality is an

applied mathematics

প্ৰায়োগিক আৰু মৌলিক গণিতৰ বিৰোধ - এটি আলোচনা

গণিতক বিজ্ঞানৰ ৰাণী বুলিয়েই কওঁ। সেয়ে বিজ্ঞানৰ অইন শাখাসমূহৰ স’তে ইয়াক সম্পৰ্কত আভিজাত্য বজাই ৰখাই শ্ৰেয়। গণিতৰ মৰ্যাদা ক্ষুণ্

ৰাধিকাৰাম ঢেঁকিয়াল ফুকন

ৰাধিকাৰাম ঢেঁকিয়াল ফুকন

সাম্ৰাজ্যবাদী ব্ৰিটিছ সকলে অসম অধিকাৰ কৰাৰে পৰা অসমত শিক্ষাৰ এক নতুন ঢৌ প্ৰবাহিত হৈছিল। অসমৰ ডিব্ৰুগড় আৰু গুৱাহাটীত বিদ্যালয় স্

103 Mathematical Constants

Some Favourite Mathematical Constants

Mathematical constant are really exciting and wonderful in the world of numbers. All numbers are not created equal; that certain constants appear at all and then echo throughout mathematics, in seemingly independent ways, is a source of fascination. Just as physical constants provide “boundary conditions” for the physical universe, mathematical

Clay Prize

Navier-Stokes equation

This is an equation which describes the motion of an incompressible fluid and is given by 1. ∂∂t ui + j=13uj∂ui∂xj = ν Δ ui – ∂p∂xi + fi (x,t) x  R3, t ≥ 0, 1 ≤ i ≤ 3 2. div u = j=13∂uj∂xj = 0 x  R 3 t

Birch and Swinnerton Dyer Conjecture

Birch Swinnerton-Dyer conjecture

This is a conjecture regarding the number of rational points in elliptic curves i.e. curves in two-dimensional plane with the equation y2 = x3 + a x + b  for some whole numbers a,b. In the early 1960’s, the British mathematicians Brian Birch and Peter Swinnerton-Dyer started to use computers

Abel Prize

Interview with Srinivasa Varadhan

Srinivasa Varadhan, known also as Raghu to friends, was born in Chennai (previously Madras) in 1940. He completed his PhD in 1963 in the Indian Statistical Institute (ISI), Calcutta, and has been in Courant Institute of Mathematical Sciences since 1963. An internationally renowned probabilist, he was awarded the Abel Prize

Puzzles

The Flower Puzzle

Consider the following puzzle: There are three temples say A, B and C. A priest takes with him some flowers and visits A. The flowers instantly double itself, and the priest keeps some of those flowers in A and proceeds towards B. At B also the same thing happens, the

CERN

God Particle: “If Universe is the answer what is the question…??”

The whole conversation starts with Higgs Boson. If you are from non-physics background then just think it is a hypothetical sub-atomic particle with extremely negligible life span. It exists for a mere fraction of second. The specialty of Higgs boson particle is that it is considered to be the origin

2012

Pushing Back the Incomputable – Alan Turing’s Ten Big Ideas

There is nothing remarkable about mathematicians’ achievements going unrecognised in a wider world changed by their discoveries. The hidden history of Alan Turing is just a particularly bizarre example — one we can expect to become much better known during the 2012 centenary of his birth. The mental check-list of things

Bonn

Obituary: Prof. Friedrich Hirzebruch

Friedrich Ernst Peter Hirzebruch (17 October 1927 – 27 May 2012) was a German mathematician, working in the fields of topology, complex manifolds and algebraic geometry, and a leading figure in his generation. He has been described as “the most important mathematician in the Germany of the postwar period.” We at

Alan Turing

Turing’s Mathematical Theory of Morphogenesis

One of the fascinating aspects of the natural world is the diversity of shapes that make up the animal and plant kingdoms: the intricate patterns on a sunflower, the dramatic antlers on a stag, animal coat markings. The list is endless. How these patterns arise is one of the mysteries

Books

The Joy of Understanding and Solving Problems: Book by Prof. Siddhartha Sen

Prof. Siddhartha Sen of the Trinity College, Dublin is a theoretical physicist who has authored a book on mathematics education and learning. Prof. Sen has kindly consented to share a sample chapter and the preface with us that can be put up for download. The book titled ‘The Joy of

Complexity

P v/s NP Problem

[Editor’s Note: This is the next part in our series on the Millennium Problems.] This is a problem in the area of computational complexity which deals with efficiency of algorithms. An alphabet A is a finite nonempty set of symbols and a computational problem over A is simply a

Quizzing Network

Quizzing Network

(Based on a similar article by V. M. Sreejith in Science Reporter, July 2004) You are going to enter a into a network of questions based on the lives of famous mathematicians and their works. Start with question number 1, choose the option that you think to be correct and

NCRA. Book

Transit of Venus

Venus will come exactly between the Earth and the Sun on June 6th 2012 – this rare event will not occur for another 105 years. This rare celestial phenomena called ‘The Transit of Venus’ will be visible in the early morning around 4-17 a.m.( from the sun rise) to 10-20

Asia Pacific Mathematics Newsletter

The Monk Who is Sold on Geometry: An Interview with Mahan Maharaj

Professor Mahan Mj is a young geometric topologist at Ramakrishna Mission Vivekananda University, who combines an esoteric career as a research mathematician and teacher with that of a monk. He belongs to the monastic order, Ramakrishna Mission, founded in 1897 by Swami Vivekanda, a renowned Hindu philosopher. He is currently