Imagination and reason in Mathematics

Module Starting Date: 22nd November, 2019, Friday, 6:30 PM Go to Joining Section Math-Olympiad Module: Day 0 Problem ListDownload Philosophical Remarks When did we first fall in love with mathematics? For me, it was in class 6. My father exposed me to a problem from...
Number Theory, Ireland MO 2018, Problem 9

Number Theory, Ireland MO 2018, Problem 9

Understand the problem The sequence of positive integers  satisfies  for .Prove that there exists at most one  for which  is the cube of an integer. Source of the problem Ireland MO 2018, Problem 9 Topic Number Theory Difficulty Level 8/10 Suggested Book Excursion in...
Number Theory, France IMO TST 2012, Problem 3

Number Theory, France IMO TST 2012, Problem 3

Understand the problem Let  be a prime number. Find all positive integers  such that: Source of the problem France IMO TST 2012, Problem 3 Topic Number Theory Difficulty Level 7/10   Suggested Book Challenges and Thrills of Pre College Mathematics Start with...
Algebra, Austria MO 2016, Problem 4

Algebra, Austria MO 2016, Problem 4

Understand the problem Let  be real numbers with .Prove that , and determine the cases of equality. Source of the problem Austria MO 2016. Final Round, Problem 4 Topic Inequality Difficulty Level Suggested Book Challenges and Thrills of Pre-College Mathematics Start...