10 Febৰামানুজন - গণিতজ্ঞ আৰু মানুহজন : অধ্যায় L : ৰামানুজনৰ নোটবুককেইটা

L-1 মাদ্ৰাজ বিশ্ববিদ্যালয়ৰ দ্বাৰা অধিগ্ৰহণ : আৰ. লিটল্-হেইলছচৰ উদ্যোগত ১৯১৯ চনত মাদ্ৰাজ বিশ্ববিদ্যালয়ে ৰামানুজনে ল’ব পৰাকৈ এখন গণিত আসন স্থাপন কৰিবলৈ সিদ্ধান্ত লৈছিল (অধ্যায় H-5)। কিন্তু ১৯২০ চনত তেওঁৰ মৃত্যুৱে এই সিদ্ধান্ত কাৰ্যকৰী কৰিব নোৱাৰিলে। পিছে, বিশ্ববিদ্যালয়ে তেওঁৰ নোটবুক কেইটাকে ধৰি সকলো গৱেষণা প্ৰবন্ধ তেওঁৰ পৰিয়ালৰ...

09 FebFinite 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 gives a quick entry into the essentials of matrix algebra needed for solving systems of linear equations and linear programming problems. It also gives an introduction to the use of matrices in two-person games in game theory and in the construction of input-output models.

09 FebGraphs 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...

09 FebThe 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...

07 FebINMO 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 [ad#ad-2]...

01 Febপেলিনড্ৰম 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- Refer, level, নৱজীৱন। তথ্য অনুসৰি, মধ্যযুগত ইউৰোপ, আমেৰিকাত পেলিনড্ৰম আৱিস্কাৰ কৰাতো এটি খেলৰ দৰে আছিল আৰু গ্ৰীক, লেটিন আৰু ৰোমান ভাষাত ইয়াৰ চৰ্চা...

28 JanFind the Remainder

1) The remainder when $$3^{31}$$ is divided by 5 is A) 2 B) 3 C) 4 D) 1 (Hint: - gcd(3,5)=1 and $$\phi (5)=4,$$ thus $$3^4\equiv 1(mod 5).$$) 2) The reminder when $$5^{99}$$ is divided by 13 is A) 0 B) 8 C) 1 D) 4   3) The reminder when...

28 JanNumeral System

1) The symbol $$25_b$$ represents a two-digit number in base b. If the number $$52_b$$ is double the number $$25_b,$$ 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...

23 JanH.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 $$\frac{2}{3},\frac{3}{20},\frac{9}{10} and \frac{15}{16}$$ is: A) $$\frac{3}{80}$$ B) $$\frac{3}{2}$$ C) $$\frac{1}{15}$$ D) $$\frac{45}{2}$$   3) The H.C.F. of 1.26, 1.155, 0.21 and 0.315 is: A) 0.05 B) 0.105 C) 1.05 D) 0.03...

23 JanProbability

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...