Archive

• The General Binomial Theorem: Part 2
• The General Binomial Theorem: Part 1
• Theories of Circular Functions: Part 3
• Theories of Circular Functions: Part 2
• Theories of Circular Functions: Part 1
• Irrationality of exp(x)
• Measuring An Angle
• Ramanujan's Generating Function for Partitions Modulo 7
• A Continued Fraction for Error Function by Ramanujan
• Playing With Partitions: Euler's Pentagonal Theorem
• Theories of Exponential and Logarithmic Functions: Part 3
• Theories of Exponential and Logarithmic Functions: Part 2
• Theories of Exponential and Logarithmic Functions: Part 1
• Abel and the Insolvability of the Quintic: Part 4
• Abel and the Insolvability of the Quintic: Part 3
• Abel and the Insolvability of the Quintic: Part 2
• Abel and the Insolvability of the Quintic: Part 1
• Teach Yourself Limits in 8 Hours: Part 4
• Teach Yourself Limits in 8 Hours: Part 3
• Teach Yourself Limits in 8 Hours: Part 2
• Teach Yourself Limits in 8 Hours: Part 1
• Cavalieri's Principle and its Applications
• Irrationality of ζ(2) and ζ(3): Part 2
• Irrationality of ζ(2) and ζ(3): Part 1
• Values of Rogers-Ramanujan Continued Fraction: Part 3
• Values of Rogers-Ramanujan Continued Fraction: Part 2
• Values of Rogers-Ramanujan Continued Fraction: Part 1
• Fundamental Theorem of Algebra: Two Proofs
• Congruence Properties of Partitions: Part 2
• Congruence Properties of Partitions: Part 1
• Thoughts On Ramanujan
• Proof of Chudnovsky Series for 1/π(PI)
• Certain Lambert Series Identities and their Proof via Trigonometry: Part 2
• Certain Lambert Series Identities and their Proof via Trigonometry: Part 1
• Rogers-Ramanujan Identities: A Proof by Ramanujan
• Proof that e squared is Not a Quadratic Irrationality
• Another Proof that e squared is Irrational
• Proof that e is Not a Quadratic Irrationality
• Matrix Inversion: Partition Method
• Two Problems not from IIT-JEE
• The Riemann Integral: Part 3
• The Riemann Integral: Part 2
• The Riemann Integral: Part 1
• Functions of Bounded Variation: Part 2
• Functions of Bounded Variation: Part 1
• Monotone Functions: Part 2
• Monotone Functions: Part 1
• Logarithms using Square Roots
• Definitions in Mathematics
• Conics and the Cone: Part 3
• Conics and the Cone: Part 2
• Conics and the Cone: Part 1
• Modular Equations and Approximations to π(PI): Part 3
• Modular Equations and Approximations to π(PI): Part 2
• Modular Equations and Approximations to π(PI): Part 1
• Ramanujan's Class Invariants
• Elementary Approach to Modular Equations: Ramanujan's Theory 7
• Elementary Approach to Modular Equations: Ramanujan's Theory 6
• Elementary Approach to Modular Equations: Ramanujan's Theory 5
• Elementary Approach to Modular Equations: Ramanujan's Theory 4
• Elementary Approach to Modular Equations: Ramanujan's Theory 3
• Elementary Approach to Modular Equations: Ramanujan's Theory 2
• Elementary Approach to Modular Equations: Ramanujan's Theory 1
• Elementary Approach to Modular Equations: Jacobi's Transformation Theory 5
• Elementary Approach to Modular Equations: Jacobi's Transformation Theory 4
• Elementary Approach to Modular Equations: Jacobi's Transformation Theory 3
• Elementary Approach to Modular Equations: Jacobi's Transformation Theory 2
• Elementary Approach to Modular Equations: Jacobi's Transformation Theory 1
• Elementary Approach to Modular Equations: Hypergeometric Series 2
• Elementary Approach to Modular Equations: Hypergeometric Series 1
• The Mysterious Rank (of a Matrix) Demystified
• The Mysterious Rank (of a Matrix): Elementary Row Operations
• The Mysterious Rank (of a Matrix)
• Field Automorphisms: A Nice Touch on "Ambiguity"
• A Taste of Modern Algebra: Remainder Theorem for Polynomials
• Continuous Functions on a Closed Interval: Uniform Continuity
• Continuous Functions on a Closed Interval: Intermediate Value Theorem
• Continuous Functions on a Closed Interval: Boundedness Property
• Continuous Functions
• Real Numbers Demystified: Completeness
• Real Numbers Demystified
• On Mathematics Education: Algebra vs. Calculus
• Irrationality of π(PI): Lambert’s Proof Contd.
• Irrationality of π(PI): Lambert's Proof
• Continued fraction expansion of tan(x)
• Elliptic Functions: Fourier Series
• Elliptic Functions: Theta Function Identities
• Elliptic Functions: Theta Functions Contd.
• Elliptic Functions: Genesis of Theta Functions
• Elliptic Functions: Infinite Products
• Elliptic Functions: Landen's Transformation
• Elliptic Functions: Double Periodicity Contd.
• Elliptic Functions: Double Periodicity
• Elliptic Functions: Complex Variables
• Elliptic Functions: Addition Formulas
• Elliptic Functions: Introduction
• The Magic of Theta Functions: Contd.
• The Magic of Theta Functions
• Two Approaches to Trigonometry
• Two Problems from IIT-JEE
• Gauss and Regular Polygons: Conclusion
• Gauss and Regular Polygons: Gaussian Periods Contd.
• Gauss and Regular Polygons: Gaussian Periods
• Gauss and Regular Polygons: Cyclotomic Polynomials
• Gauss and Regular Polygons: Complex Numbers
• Gauss and Regular Polygons: Euclidean Constructions Primer
• Gauss and Regular Polygons
• π(PI) and the AGM: Gauss-Brent-Salamin Formula
• π(PI) and the AGM: Evaluating Elliptic Integrals contd.
• π(PI) and the AGM: Evaluating Elliptic Integrals
• π(PI) and the AGM: Legendre's Identity
• π(PI) and the AGM: Introduction to Elliptic Integrals
• Arithmetic-Geometric Mean of Gauss