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  • Insights
    • Ontological Mathematics and Eastern Philosophy
    • The Mathematical and Medical Alliance
    • The Power of Mathematics and Numbers
    • The Alchemy of Symmetry and Anti-Symmetry
    • The Bridge of Thought
    • Foundations for Mathematical Reality
    • Pondering on the God Equation
  • Foundations
    • Prime Numbers as a Way to Sublime Mathematics
    • Real and Complex Mathematical Analysis
    • Bell's Theorem and the Mathematical Universe
    • Essential Calculus Theorems
  • Explorations
    • A Novel U(3) Group and Applications
    • An Imaginary Derivation of e
    • Asymptotic Light Geometry
    • Derivation of the Complex Unit Sphere
    • Geometric Thoughts with Guest Algebra
    • Gravitational Wave Signal Processing
    • Imaginary Angles and the Connection Between
    • Lie Groups and Lie Algebras
    • Pascal's Tetrahedron, Combinatorics, and Theory
    • The Strange Attractor of the Lorenz System
    • Polyplex Lie Geometry
  • Masteries

Foundations

Deepening your grasp of mathematics.

Foundational concepts, definitions, theorems, and didactical lessons for the curious minds.

Prime Numbers as a Way to Sublime Mathematics

By: Arithmoi Foundation

An introduction to prime numbers allowing readers to develop a strong intuition of the mathematical ...

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Real and Complex Mathematical Analysis

By: Arithmoi Foundation

A comprehensive guide to real and complex mathematical analysis, covering foundations, sequences, se...

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Bell's Theorem and the Mathematical Universe

By: Arithmoi Foundation

A comprehensive exploration of Bell's Theorem, demonstrating the conflict between local realism and ...

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Essential Calculus Theorems

By: Arithmoi Foundation

Calculus theorems are essential to a strong mathematical education.

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