Math Marvels

Ramanujan's Challenge to Indian Mathematical society: Infinite nested radicals [Method 1]

Ramanujan's Challenge to Indian Mathematical society: Infinite nested radicals [Method 2 and 3]

Math Marvels: General formula for the number of integral points on or inside a circle x^2+y^2=a^2

Decartes theorem of kissing circles : Beyond the boundaries

Math Marvels: King's 1000 bottle of Wine puzzle Method 1

Math Marvels: King's 1000 bottle of Wine puzzle Method 2

Area common to four quadrants in a square : Math marvels

Math marvels : Decartes' theorem of kissing circles Example 2

Math marvels : Decartes' theorem of kissing circles Example 3 Degenerate circle

Math Marvels: Why is factorial 0! = 1? Combination method & Gamma function method

Beyond the boundaries: Can you solve the equation sinz=2 ???

Math marvels: Why 2/15? Maclaurin series expansion of tanx = x+x^3/3+2/15x^5…….

Math marvels: 1000 doors problem: An interesting permutations & combinations puzzle

Game theory: Math marvels: Pure strategy Nash equilibria for 3 player games

Math Marvels: Modulus, Greatest Integer & Fractional Function Equation: |2x-1|=3[x]+2{x}