## 06 MayMathletics 2013 (Category I) - Assam Academy of Mathematics

(Class V and VI) Marks: 100 = 5X20 Time: 3 Hours [Answer the following questions in English or in mother tongue. Two participants will discuss the solutions of the problems and they will write the answer in a khata for the group. None can help the group in...

## 16 AprThe 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 come from any number field). A collection of one or more linear equations of same variables is called...

## 09 AprHow 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...

## 09 AprSeduced 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,...

## 09 AprLinear Algebra : A Modern Introduction (Third Edition)

David Poole Brooks/Cole, Cengage Learning, 2011, xxvi+726 pp.   For an introductory book, this is a thick book with more than 700 pages. For a book on linear algebra, it contains more than usual amount of material on special matrices like positive matrices, Markov chains and numerical matrix...

## 06 AprIf 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, by Euclid’s lemma, \$\$p|b.\$\$...

## 03 AprAn 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...

## 31 MarFundamental 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...

## 29 MarDeligne 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....

## 14 MarPi 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...