Books

The author explains a different method to probe the Fermat's last theorem.

Turn a static class hierarchy into a real semantic graph: object properties, inverse properties, property characteristics, and domain and range, all hands-on in Protege.

A dozen great roads to the Riemann Hypothesis. Each one climbed honestly. Each one shown exactly where it is turned back. The advanced survey at the summit of the trilogy — the five proven faces of RH, the walls beside it, and the precise reason each road stops.

The zeros of the zeta function look like the spectrum of something. What? The middle volume of the trilogy pursues the deepest dream in number theory — that the Riemann zeros are the eigenvalues of an undiscovered operator — and refuses to flinch from where it leads.

The primes, told through one concrete object: a wheel of forty-eight spokes, the residues coprime to 210. Dirichlet characters, the prime race, the Riemann zeros as a diffraction pattern — real analytic number theory at human scale, ending honestly at the walls.

From Flow to Proof turns distributed-system promises into explicit models, properties, counterexamples, and evidence. Explore state machines, contracts, temporal logic, concurrency, ownership, refinement, and honest proof boundaries—with companion artifacts at github.com/gregory82gr/Nexus-1-phase-0.

For a century, academic dogma claimed that a tiny slice of reality is the exact same size as the whole thing. It’s an illusion. Geometry proves the part is always smaller than the whole. This 30-page blueprint exposes the intellectual traps of Cantorian math and teases a neuroscience layout to tweak your biological waveguide filters. Read the truth, escape the distractions, and join the vanguard.

Mathematical Foundations of AI and Data Science: Discrete Structures, Graphs, Logic, and Combinatorics in Practice transforms abstract mathematical concepts into practical tools for computational problem-solving.Explore logic, set theory, relations, functions, combinatorics, discrete probability, graph algorithms, trees, algebraic structures, Boolean systems, recurrence relations, optimization.

El autor aborda el último teorema de Fermat y presenta una demostración diferente a la del profesor Wyles, aunque se llega a las mismas conclusiones.

From Queue to Core reveals the stochastic foundation behind reactor kinetics: birth–death chains, master equations, delayed neutrons, feedback, deterministic point kinetics, and C# algorithms — all explained through the NEXUS-1 demonstrator with clear boundaries and interpretable results.

Discover the mathematics powering the future of Artificial Intelligence and cybersecurity.Algebraic Foundations of AI: Groups, Rings, and Fields in Security & Cryptography reveals how abstract algebra forms the backbone of modern AI security, cryptographic systems, blockchain technologies, privacy-preserving machine learning, federated learning, and post-quantum cryptography.

How second-order PDEs classify into hyperbolic, parabolic, and elliptic types via characteristics, reduced to canonical forms, and solved explicitly.

How chemostat bacterial systems grow, wash out, or stabilize, modelled from first principles through stability analysis to optimal harvest calculus.

How first-order PDEs propagate data along characteristics, from linear to fully nonlinear settings with explicit step-by-step solutions throughout.

Linear Programming and AI Optimization Models (VOL-3) delivers practical mastery in scheduling, supply chain, logistics, hybrid AI-OR systems, large-scale cloud optimization, and emerging technologies. With Python implementations, industry case studies, and forward-looking research trends, this volume turns theory into powerful real-world solutions.