Gonit Sora (Page 16)

Gonit Sora

Mathematics in the 'real' world

Mathematics in the 'real' world

The following article appeared in the 18th July, 2013 issue of the Horizon supplement of The Assam Tribune under the heading ‘Mind over Maths’. This article is written by the Editor of the English section of Gonit Sora. We give below the original version that was written. One of the

“গণিত চ’ৰাৰ সন্দৰ্ভত” - প্ৰফেচৰ খনীন চন্দ্ৰ চৌধুৰী

“গণিত চ’ৰাৰ সন্দৰ্ভত” - প্ৰফেচৰ খনীন চন্দ্ৰ চৌধুৰী

কেইজনমান উৎসাহী আৰু দূৰদৰ্শী গণিতৰ ছাত্ৰৰ ঐকান্তিক চেষ্টাত বৈদ্যুতিন মাধ্যমত উপলব্ধ হোৱাকৈ গণিতক অধিক সংখ্যকৰ ওচৰলৈ নিয়াৰ এক প্ৰচেষ্

Mathematical Quest 3: Prime Numbers

Mathematical Quest 3: Prime Numbers

The editor of the English section of Gonit Sora, writes a monthly column devoted to mathematics in a teen magazine called Young NE. The editor of Young NE was kind enough to grant us permission to republish the column after it appears on print. Below is the column that appeared

Mathematical Quest 2: Finding out square roots

Mathematical Quest 2: Finding out square roots

The editor of the English section of Gonit Sora, writes a monthly column devoted to mathematics in a teen magazine called Young NE. The editor of Young NE was kind enough to grant us permission to republish the column after it appears on print. Below is the column that appeared

গাণিতিক সোৱাদৰ আঁৰত

গাণিতিক সোৱাদৰ আঁৰত

“হে মোৰ সকলো শত্ৰু তোক নমস্কাৰ তোক বন্ধু ৰুপেহে চাওঁ তোৰে স’তে মোৰ সংঘাত লাগি মোৰ জীৱনতে ধুনীয়া প্ৰকাশ পাওঁ।” (জ্যোতিপ্ৰসাদ) মা

অনন্য এক জীৱন - উইলিয়াম ৰোৱান হেমিল্টন

William Rowan Hamilton

অনন্য এক জীৱন - উইলিয়াম ৰোৱান হেমিল্টন

গণিতৰ জগতখন হৈছে যুক্তি আৰু শৃংখলাৰ। সেয়ে গণিতজ্ঞসকলে স্বাভাৱিকতেই নিজৰ ব্যক্তিগত জীৱনতো এই শৃংখলা বিচাৰিবলৈকে অহোপুৰুষাৰ্থ কৰে। সাধাৰণতে তে

Mathematical Quest 1: Multiplication Tricks

Mathematical Quest 1: Multiplication Tricks

The editor of the English section of Gonit Sora, writes a monthly column devoted to mathematics in a teen magazine called Young NE. The editor of Young NE was kind enough to grant us permission to republish the column after it appears on print. Below is the column that appeared

আইজাক নিউটন

আজিৰ পৰা চাৰে তিনিশ বছৰৰো আগত এইখন পৃথিৱীৰে এখন গাঁওত এটা শিশুৰ জন্ম হৈছিল— এটা অপূৰঠ শিশু। সকলোৱে অলপ পিছতেই মৃত্যুৰ মুখত পৰিব বুলিয়ে ভা

এটা জন্মদিনৰ এক অভিনৱ উপহাৰ

এটা জন্মদিনৰ এক অভিনৱ উপহাৰ

ই আছিল পাৰ হৈ যোৱা শতিকাটোৰ আটাইতকৈ গুৰুত্বপূৰ্ণ বক্তৃতা। দুশ গণিতজ্ঞ ভৰি আছিল বক্তৃতা গৃহত। ইয়াৰে মাথোন এক চতুৰ্থাংশই বুজি পাইছি

Fermat’s Last Theorem

Fermat’s Last Theorem

Google Doodle depicting Fermat’s Last Theorem We can find infinitely many solutions that can solve the equations and in integers, but what about the equation or more generally , where n is an integer greater than 2 and x,y, z are non-zero integers? Well no one has ever found

Reinventing the Indian (Hindu) Calendar

Reinventing the Indian (Hindu) Calendar

Summary: Following the Indian (Hindu) calendar, we Indians are celebrating the seasonal festivals on wrong dates. It is because in the Indian calendars, the seasons are out of phase with the real tropical phenomenon of the earth. This article analyses how and why we are doing that and what to

The Tangled Origins of the Leibnizian Calculus

Leibnizian Calculus

The Tangled Origins of the Leibnizian Calculus

Richard C Brown World Scientific, 2012, xxi+310 pp. As the title of the book suggests, this book attempts to unravel the threads that lead to the creation of the revolutionary symbolism of differential and integral calculus by the polymath Gottfried Wilheim Leibniz (1646–1716). We are all aware that

The Number of Solutions of a System of Linear Equations

Linear Equations

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

How to Fold It: The Mathematics of Linkages, Origami and Polyhedra

How to Fold It: The Mathematics of Linkages, Origami and Polyhedra

Joseph O’Rourke Cambridge University Press, 2011, xii+177 pp. This book presents in three parts some geometric and physical aspects that have, for a long time, fascinated many people attracted by elegant structures provided by linkages, paper folding and polyhedral models. Linkages used to be mainly associated with mechanical

Seduced by Logic : Emilie du Chatelet, Mary Somerville and the Newtonian Revolution

Seduced by Logic : Emilie du Chatelet, Mary Somerville and the Newtonian Revolution

Robyn Arianrhod University of Queensland Press, 2011, 352 pp. There can be no doubt in the 21st century about the power of mathematical physics to transform our material existence. The atomic bomb, television and mobile phone are among its many offspring. Robyn Arianrhod’s Seduced by Logic opens in 1706,

If p is a prime then √p is irrational

If p is a prime then √p is irrational

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 that $$pmid a.$$ Therefore, $$gcd(p,a)=1.$$ Hence,

An Interview with Prof. Swadhin Pattanayak

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 is a professor of mathematics at IMA. Prof. Pattanayak was on a short visit to Tezpur

Fundamental Theorem of Algebra

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 ppt with our readers. Please click here to download the file.

Deligne wins Abel Prize 2013

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 in 2003 in memory of the Norwegian mathematician Niels Henrik Abel. It’

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 digits of π in the decimal form. In 2009, the United States House

Roads to Infinity

Roads to Infinity

Roads to Infinity

John Stillwell A K Peters Ltd, 2010 In 1963, Edwin E. Moise published Elementary Geometry from an Advanced Standpoint and his book became a classic. Roads to Infinity could well be entitled Advanced Logic from an Elementary Standpoint and deserves the same outcome. Its subtitle is actually The Mathematics of

Kähler Geometry of Loop Spaces

Kähler Geometry

Kähler Geometry of Loop Spaces

Armen Sergeev Mathematical Society of Japan, 2010, 228 pp. This book concerns Kahler geometry and the geometric quantisation of loop spaces. The main objects are three important examples of infinite Kahler manifolds: loop spaces of compact Lie groups, Teichmuller spaces of complex structures on loop spaces, and Grassmannians of Hilbert

Markov Chains and Decision Processes for Engineers and Managers

Markov Chains and Decision Processes for Engineers and Managers

Theodore J. Sheskin CRC Press, 2010, 492 pp. Writing yet another book about Markov chains and Markov decision processes needs — without doubt — some justification. The author of the present textbook reveals his motives in the preface: most books on these topics are highly theoretical or, else, merely provide algorithms to

E=mc^2 : Equation of Life and Death

Albert Einstein

E=mc^2 : Equation of Life and Death

“the world is a dangerous place to live.., not because of the people who are evil, but because of the people who do nothing about it..” -Prof. Albert Einstein Albert Einstein, one of the greatest physicist and mathematician of the century, who gave out this famous equation . This is the

Atheism & Agnosticism

Atheism & Agnosticism

This is a response I wrote to a question in an online forum on atheism. The question was, which of the two do you prefer: to believe there is no God, or, to have no belief in God. Here is my response: I prefer the first choice, which is “To