Gonit Sora (Page 17)

Gonit Sora

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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

An Interview with Ashoke Sen

An Interview with Ashoke Sen

Ashoke Sen was born in Calcutta and studied physics at the Presidency College of the city, at the Indian Institute of Technology in Kanpur, and did his doctorate at Stony Brook. He has been with the Harish-Chandra Research Institute for the last seventeen years. His main area of work is

Stamps on Asian Mathematicians

Stamps on Asian Mathematicians

Stamps on Asian Mathematicians

Xiong Qinglai (1893–1921) Xiong Qinglai was a Chinese mathematician from Yunnan. He was the person who introduced modern mathematics to China. He studied in Europe for eight years (1913 to 1921) before returning to China to teach. In 1921, he set up the Department of Mathematics of National Southeastern

Finite Mathematics (Fifth Edition)

Finite Mathematics (Fifth Edition)

Stefan Waner and Steven R. Costenoble, Brooks/Cole, CENGAGE Learning, Boston, 2011, 2077, xvii+618 pp, Appendix 44pp. Now in its fifth edition, this book may be used for a one or two-term course in “finite mathematics” for students majoring in business, the social sciences and the liberal arts. It

Graphs and Digraphs (Fifth Edition)

Graphs and Digraphs (Fifth Edition)

Gary Chartrand, Linda Lesniak and Ping Zhang, CRC Press, 2010, 598 pp. This is the fifth edition of a classic text in graph theory. Originally published in 1979, the first edition was authored by Mehdi Behzad, Gary Chartrand and Linda Lesniak. This latest edition continues to be helmed by Chartrand

The Colours of Infinity: The Beauty and Power of Fractals

The Colours of Infinity: The Beauty and Power of Fractals

Edited by Nigel Lesmoir-Gordon Springer, 2010, x+207 pp. In 1980, at the IBM Thomas Watson Research Centre in upstate New York, the mathematician Benoit Mandelbrot was probably the first person to view a geometric picture of an unusual set of pixels on the computer screen and discover its enormous

INMO 2013

The 28th Indian National Mathematical Olympiad (INMO) was held on 3rd February, 2013 across the nation. The questions asked in the exam are provided below. We shall publish solutions to the problems shortly. INMO 2013

পেলিনড্ৰম সংখ্যা (Palindrome Number)

Palindrome Number

পেলিনড্ৰম সংখ্যা (Palindrome Number)

যিবোৰ শব্দ, বাক্য বা ছন্দ সচৰাচৰ পঢ়াৰ ধৰণতকৈ বিপৰীত ফালৰ পৰা, অৰ্থাৎ সোঁফালৰ পৰা বাওঁফাললৈ পঢ়িলে একেই হয় সেইবোৰক পেলিনড্ৰম বোলে। যেনে-

Find the Remainder

Find the Remainder

1) The remainder when is divided by 5 is A) 2 B) 3 C) 4 D) 1 (Hint: – gcd(3,5)=1 and thus ) 2) The reminder when is divided by 13 is A) 0 B) 8 C) 1 D) 4 3) The reminder when is divided by 25 is

Numeral System

1) The symbol represents a two-digit number in base b. If the number is double the number then b is: [Asked in “FMS”.] A) 7 B) 8 C) 9 D) 11 2) Convert the decimal number 22 to binary number. 3) Convert the decimal number 110 to octal number. 4)

H.C.F. and L.C.M.

H.C.F. and L.C.M.

1) The H.C.F. of $$\frac{9}{4},\frac{3}{20},\frac{9}{10} and \frac{15}{16}$$ is: A) $$\frac{3}{80}$$ B) $$\frac{3}{2}$$ C) $$\frac{1}{40}$$ D) $$\frac{45}{2}$$ 2) The L.C.M. of $$\frac{2}{3},\frac{3}{20},\frac{9}

Probability

1) $$x_{1}, x_{2}, x_{3},\dots x_{50}$$ are fifty real numbers such that $$x_{r}< x_{r+1}$$ for r = 1, 2, 3… 49. Five numbers out of these are picked up at random. The probability that the five numbers have $$x_{20}$$ as the middle is:

সাধাৰণ গণিত (১)

সাধাৰণ গণিত

সাধাৰণ গণিত (১)

প্ৰশ্নসমূহ:- ১) ১.৪২৮৫৭১৪২৮৫৭১৪২৮৫৭১……… সংখ্যাটো ___ ক) অখণ্ড সংখ্যা থ) অপৰিমেয় সংখ্যা গ) পৰিমেয় সংখ্যা ঘ) মৌলিক সংখ্যা ২) ১ মি.মি. ডাঠ আয়তাকাৰ কাগজ এখিলা সোঁমাজত

Coding and Artificial language (Aptitude test)

Artificial language

Coding and Artificial language (Aptitude test)

1) In a certain code ‘1 7 2 9’ means ‘in a programming language’, ‘7 9 3’ means ‘as a set’ and ‘2 3 4 5 6 7’ means ‘in the set as an element’. What is the code for ‘a’? A) 1 B) 7 C) 9 D) 3 2)

Number of Cubes (Aptitude Test)

Number of Cubes (Aptitude Test)

All the faces of four equal cubes are painted with green color. Then each cube is cut into 64 small equal cubes. 1) How many small cubes will have 4 colored faces and two non-colored faces? A) 32 B) 64 C) 0 D) 12 2) How many small cubes will

Venn Diagram

Study the following Venn diagram and answer the following questions: 1. How many teachers are both players and artists? A) 164 B) 99 C) 34 D) 133 2. How many artists are players, but not doctors? A) 3 B) 102 C) 136 D) 22 3. How many teachers are neither

ভেনচিত্ৰ

ভেনচিত্ৰ

এখন মহাবিদ্যালয়ৰ ফুটবল, ভলীবল, ক্ৰিকেট আৰু বেডমিন্টন খেলা ছাত্ৰ-ছাত্ৰীসকলক তলৰ ভেনচিত্ৰটোত ক্ৰমে ত্ৰিভূজ, বৰ্গ, বৃত্ত আৰু আয়তৰ সহায়ত বুজো

Indo–French Cooperation in Mathematics

Indo–French Cooperation in Mathematics

Abstract. Links between mathematicians from India and France are old, strong and fruitful. We present a short survey of these relations. We start with a brief overview of the mathematical heritage of India. The stay of A Weil as a Professor in Aligarh Muslim University from 1930 to 1931 was

On Finding the Next Term

On Finding the Next Term

Having given a few terms of a sequence, the question : What is the next term? is frequently asked in examinations. For example, the question may be to find the next term in the sequence 6, 12, 24, 48, … ———(1) The given four terms can be easily seen to form a

Amazing World of Science Fiction

Arthur C. Clarke

Amazing World of Science Fiction

Imagination is more important than knowledge said Albert Einstein. Most of us are perhaps not aware of many worlds totally different from our own which exist in sub conscious minds of many imaginative people with prophetic vision whom we recognize as science fiction writers. Science fiction writers’ possess the predictive

Boundary Layer Theory : a Retrospection

boundary layer theory

Boundary Layer Theory : a Retrospection

2005 was celebrated throughout the world as the year of Physics, because in 1904, the theory of Relativity was postulated by Albert Einstein. By now much have been discussed and done on the theory of relativity, but comparatively less attention has been paid to a sister theory and equally important

Geometry Beyond Euclid

Geometry Beyond Euclid

We are very pleased to share a presentation made by Prof. M. S. Narasimhan at a KVPY Camp sometime back. The presentation entitled, ‘Geometry beyond Euclid’ was made on 19th October. This has been shared with us by our Advisory Board member Prof. Sujatha. The pdf file can be found