bijective The number of functions 1) A={a, b, c, d, e} and B={x, y, z}. Then the number of surjections that can be defined from the set A to the set B is (সংহতি A = {a, b, c, d, e} ৰ পৰা সংহতি B = {x, y, z} লৈ পাব পৰা
next term What number should come next “ANY number can be the next term in the usually given set of terms. […] Theoretically there are many possibilities. So some understanding is essentially either implied or needed in connection with the question: What is the Next Term?” – Prof. R. C. Gupta. (“On Finding the Next Term”.) Find the next
2012 SASTRA Ramanujan Prize 2012 The SASTRA Ramanujan Prize, founded by Shanmugha Arts, Science, Technology & Research Academy (SASTRA) University in Kumbakonam, India, Srinivasa Ramanujan’s hometown, is awarded every year to a young mathematician judged to have done outstanding work in Ramanujan’s fields of interest. The age limit for the prize has been set
Books. Classics How to Solve It - G. Polya How to Solve It, by the famous mathematician G. Polya is a classic math book. We present below some of the excerpts from that book. PART I. IN THE CLASS ROOM PURPOSE 1. Helping the student. One of the most important tasks of the teacher is to help his students.
Quiz Srinivasa Ramanujan: Quiz 1. What lie did the British mathematician Hardy give to the Scotland Yard once in order to save Ramanujan from an arrest? 2. What famous inequation did Hardy give once regarding Ramanujan and another famous mathematician David Hilbert? 3. Among other places around the world what is also there at
Clay Prize The Millennium Problems Recently Prof. Malay Dutta (Department of Computer Science and Engineering, Tezpur University) gave a talk on the Millennium Problems in mathematics. We present to you a series of 8 articles written by Prof. Dutta where he speaks about the problems in detail. This is the introductory post and will be
Biographies Kameshwar Das: The Lotus in the Muddy Pond Over a hundred years back, in the year 1901, a little boy took admission into a primary school located at Hagurigaon (Harihar Gaon) near Pathsala district in Assam. It would be wrong to say he took admission. Rather, a noble teacher of that school admitted him into the same. The
Careers Mathematics as a Career Path Mathematics as a career choice has been picking up among the students of India since the last couple of years. But sadly, very few students are aware fully of the scope they have to study in India. Most go for the local colleges and Universities in their neighbourhood. In this
Bruce C. Berndt An Interview with Prof. Bruce C. Berndt Bruce C. Berndt is an American mathematician working on analytic number theory. Prof. Berndt is at present, Professor of Mathematics at the University of Illinois, Urbana-Champaign. His main research interest lies in the works of Ramanujan and he has taken the task of editing and collecting all the results of
Biography Ramanujan Every Indian, no matter whatever is his mathematical prowess or his profession knows about a certain gentleman born in Erode, Tamil Nadu on 22nd December 1887 – S. Ramanujan. The modern Indian tradition in mathematics got a jolting shift with the advent of the sheer genius of Ramanujan. No man ever
Brain Teasers Some Mathematics Brain Teasers 1. The greatest number of Mondays that can occur in the first 45 days of a year is ___? Ans: 7 If the first day is a Monday, then every seventh day is also a Monday, and Monday falls on the following numbered days: 1, 8, 15, 22, 29, 36, and
15-puzzle The 15–Puzzle The 15–puzzle is a children’s game (for children of all ages) to which we apply the theory of the symmetric group in order to make some adult observations. The 15–puzzle is a 44 frame holding movable squares, numbered from 1 to 15 with one space left vacant
Jokes Fight between a History Teacher and a Mathematics Teacher Once there was a fight between a History Teacher and a Mathematics Teacher. History Teacher: “I will call the Akbar and his troops to fight against you.” Math’s Teacher: “I will multiply you and your Akbar with zero.” Collected by Prabin Das, MSc 2nd semester, Dept. of Chemical Sciences,
carbon-carbon bond Construction of carbon-carbon bond got Noble Prize Scientists first isolated the substance discodermolide from a sponge living in the Caribbean Sea. Subsequently, they have re-created the substance in test tubes. In one of the critical steps of that procedure, they used Negishi’s variant of the palladium-catalyzed cross-coupling reaction. Discodermolide attacks cancer cells in the same manner
cylinder mould process Digital Water Marking on Bank Notes As the printing industry evolves to a digital platform, the challenge of designing security documents that copy poorly becomes increasingly difficult. As digital printing equipment becomes easier and less expensive to operate and maintain, more widely placed in new environments, with better quality and output design flexibility, the opportunity to
Mathematical Sciences “Mathematics”, an essential tool of Science Mathematics is an extremely important tool in all branches of science. Anyone interested in pursuing a science-career will not get very far without a solid understanding of mathematics. However, it is important to understand that mathematics is not a natural science. One important reason is that mathematical validity does not
abc conjecture Workshop on Algebra and Number Theory The department of Mathematical Sciences, Tezpur University organized a workshop on Algebra and Number Theory during December 22-26, 2010. The workshop was mainly sponsored by the National Board for Higher Mathematics (NBHM), Department of Atomic Energy, Govt. of India. Department of Science and Technology (DST), Govt. of India also funded
joke A pure and an applied mathematician A pure and applied mathematician are asked to calculate 2 * 2. The applied mathematician’s solution: We have, 2 * 2 = 2 *1/ (1-1/2). The second factor on the right hand side has a geometric series expansion 1/(1-1/2) = 1 + 1/2 +1/4 + 1/8 + …. Cutting off the
Mathematics My tryst with Mathematics As a child, it is always imperative that elders ask you what your favourite subject was. Without any second thought, my reply to such a question was ‘Mathematics’. This was my constant reply since my 1st standard till I passed by Higher Secondary exams. In my early school life, there
Society Place and Role of Mathematics in Society Mathematics has its own intrinsic beauty and aesthetic appeal, but its cultural role is determined mainly by its perceived educational qualities. The achievements and structures of mathematics are recognized as being among the greatest intellectual attainments of the human species and, therefore, are seen as being worthy of study in
Ancient India Mathematics In Ancient India The development of human civilization is accompanied by the development of mathematics. For civilization to flourish, stability in society and in thoughts of people is most essential. Stability in thoughts comes only with the knowledge of mathematics. At the dawn of civilization, stable thoughts express themselves in the form of
Abel Prize Mathematicians’ Nobel Prize: Fields Medal or Abel Prize Alfred Nobel (1833-1896) made his fortune through the manufacture of explosives. He was born in Sweden, grew up in Russia, studied chemistry and technology in France and the US, and built up companies in several countries all over the world. In his will, Nobel designated the establishment of annual prizes
