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Archive
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 Zeta(2) and Zeta(3): Part 2
Irrationality of Zeta(2) and Zeta(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/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 PI: Part 3
Modular Equations and Approximations to PI: Part 2
Modular Equations and Approximations to 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 PI: Lambert’s Proof Contd.
Irrationality of 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
PI and the AGM: Gauss-Brent-Salamin Formula
PI and the AGM: Evaluating Elliptic Integrals contd.
PI and the AGM: Evaluating Elliptic Integrals
PI and the AGM: Legendre's Identity
PI and the AGM: Introduction to Elliptic Integrals
Arithmetic-Geometric Mean of Gauss
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Paramanand's Math Notes
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Paramanand Singh
Noida
,
Uttar Pradesh
,
India
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Algebra
Continued Fractions
Elliptic Functions
Elliptic Integrals
General
Geometry
Hypergeometric Series
Irrational Numbers
Lambert Series
Mathematical Analysis
Mathematics Education
Modular Equations
Number Theory
Theta Functions
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