The Arithmoí Library

The library

All works

23 works in 4 collections.

  1. Insights

    Ontological Mathematics and Eastern Philosophy

    Michaël Perreault · 2025 · 9 parts

    The seers and philosophers of old have long known the power of numbers.

  2. Insights

    The Mathematical and Medical Alliance

    Michaël Perreault · 2025 · 18 parts

    The medical and mathematical fields can grow together.

  3. Insights

    The Power of Mathematics and Numbers

    Michaël Perreault · 2025 · 7 parts

    The power of numbers can be unlocked with the right mindset and approach.

  4. Insights

    The Alchemy of Symmetry and Anti-Symmetry

    Michaël Perreault · 2025 · 7 parts

    An exploration of the fundamental duality between symmetry and anti-symmetry in mathematics, from basic number theory to quantum mechanics and the divine structure of reality.

  5. Insights

    The Bridge of Thought

    Michaël Perreault · 2025 · 7 parts

    There is a way to understand the universe thanks to mathematics.

  6. Insights

    Foundations for Mathematical Reality

    Michaël Perreault · 2025 · 17 parts

    An exploration of mathematics as the fundamental structure of reality, introducing group theory and the elegant foundations that underlie number theory, symmetry, and the mathematical nature of existence.

  7. Insights

    Pondering on the God Equation

    Michaël Perreault · 2025 · 9 parts

    An exploration of Euler's formula as the fundamental equation of existence, examining how this elegant mathematical relationship encodes the logic of reality itself through ontological mathematics.

  8. Foundations

    Prime Numbers as a Way to Sublime Mathematics

    Michaël Perreault · 2025 · 11 parts

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

  9. Foundations

    Real and Complex Mathematical Analysis

    Michaël Perreault · 2025 · 72 pages

    A comprehensive guide to real and complex mathematical analysis, covering foundations, sequences, series, continuity, differentiation, integration, and complex function theory.

  10. Foundations

    Bell's Theorem and the Mathematical Universe

    Michaël Perreault · 2025 · 10 parts

    A comprehensive exploration of Bell's Theorem, demonstrating the conflict between local realism and quantum mechanics, with mathematical foundations and philosophical implications for the nature of reality.

  11. Foundations

    Essential Calculus Theorems

    Michaël Perreault · 2025 · 4 parts

    Calculus theorems are essential to a strong mathematical education.

  12. Explorations

    A Novel U(3) Group and Applications

    Jason Glowney · 18 pages

    An article discussing a novel U(3) group and its applications to quantum computing and other fields.

  13. Explorations

    An Imaginary Derivation of e

    Jason Glowney · 7 pages

    An article on an imaginary derivation of e and related concepts.

  14. Explorations

    Asymptotic Light Geometry

    Jason Glowney · 8 pages

    An article on asymptotic light geometry and its relations.

  15. Explorations

    Derivation of the Complex Unit Sphere

    Jason Glowney · 25 pages

    An article on the derivation of the complex unit sphere.

  16. Explorations

    Geometric Thoughts with Guest Algebra

    Jason Glowney · 3 pages

    An article on geometric thoughts with guest algebra.

  17. Explorations

    Gravitational Wave Signal Processing

    Jason Glowney · 2017 · 22 pages

    An article on gravitational wave signal processing.

  18. Explorations

    Imaginary Angles and the Connection Between

    Jason Glowney · 7 pages

    An article on imaginary angles and the connection between related concepts.

  19. Explorations

    Lie Groups and Lie Algebras

    Jason Glowney · 15 pages

    An article on Lie groups and Lie algebras.

  20. Explorations

    Pascal's Tetrahedron, Combinatorics, and Theory

    Jason Glowney · 14 pages

    An article on Pascal's Tetrahedron, combinatorics, and related theory.

  21. Explorations

    The Strange Attractor of the Lorenz System

    Jason Glowney · 2017 · 25 pages

    An article on the strange attractor of the Lorenz system.

  22. Explorations

    Polyplex Lie Geometry

    Jason Glowney · 22 pages

    A Multi-Metric Complex Geometry Structured by Lie Algebras in a Hilbertian Framework.

  23. Masteries

    Arithmoí Book 1

    Jason Glowney · 96 parts

    Essential to the undertaking is that mathematics be the means of conveying the topic. The synthesis presented in the book starts by first bringing to light the historical human biases pervasive in mathematics, physics, and metaphysics subject matter.