Adventures in Problem Solving Mathematical Marvels by Shailesh Shirali Universities Press RMO INMO IMO MathematICS Olympiads.pdf

Universities Press MATHEMATICS Mathematical Marvels Adventures in PROBLEM SOLVING Shailesh Shirali .universitiespress. Try your hand at these problems! 1.A certain 10-digit number has among its digits one 1 two 2s three 3s and four 4s.Could the number be a perfect square? 2.You have 10 boxes and 44 marbles.Can you put the marbles in the boxes so that each box contains a different number of marbles? Did you enjoy grappling with them?If you did then this book is meant for you.It is essentially a celebration of mathematics through problems. Problems to quote the great mathematician David Hilbert are the life blood of mathematics.Many of its greatest advances have e about as a result of grappling with hard problems.One only has to recall the enormous advances made in geometry through attempts to prove the parallel postulate or those made in algebra through attempts to solve the quintic equation to see the truth of this claim. In this book which is addressed to problem buffs you will find many topics in serious and recreational mathematics developed through problems (surds logarithms geometry inequalities magic squares cryptarithms logic counting number theory games such as N...