Name: Metastructural Unification ( Mathematics Volume ): Unifying Algebra, Geometry and Probability (en Inglés)
SKU: 66595324
Price: 38.31 USD
Availability: InStock
Author: Chang, John
ISBN: 9781764309721

portada Metastructural Unification ( Mathematics Volume ): Unifying Algebra, Geometry and Probability (en Inglés)

Metastructural Unification ( Mathematics Volume ): Unifying Algebra, Geometry and Probability (en Inglés)

Formato

Libro Físico

Editorial

Universal Publishing

Autor

Chang, John

Idioma

Inglés

N° páginas

368

Encuadernación

Tapa Blanda

Dimensiones

22.9x15.2x1.9 cm

ISBN13

9781764309721

Metastructural Unification ( Mathematics Volume ): Unifying Algebra, Geometry and Probability (en Inglés)

Chang, John (Autor) · Universal Publishing · Tapa Blanda

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Reseña del libro "Metastructural Unification ( Mathematics Volume ): Unifying Algebra, Geometry and Probability (en Inglés)"

Introduction to《Metastructural Unification ( Mathematics Volume ): Unifying Algebra, Geometry, and Probability》 This book is not a collection of papers addressing isolated mathematical problems, but a systematic work that seeks to unify algebra, geometry, and probability at the structural level. The author proposes a unified structural grammar centered on the triad Dot - - Line 1 - Circle Ο, revealing the intrinsic isomorphic relationships among the three foundational mathematical languages across different levels.Guided by a ring-structured framework, the book develops mathematical problems through multiple hierarchical layers.At the Third-Ring level, it systematically examines represent-tative problems such as the generalized Goldbach conjecture, Fermat's Last Theorem, the abc conjecture, as well as the Poincaré problem, geodesics, prime number distributions, and spectral statistics, demonstrating their unity in structural roles.At the Fourth-Ring level, the discussion advances to selected topics including the Langlands program, higher-order L-functions, noncommutative geometry, Ricci flow, many-body random systems, and high-dimensional spectral statistics, revealing a unified mechanism underlying existence, stability, and generation.The central thesis of this book is that algebra, geometry, and probability are not parallel disciplines, but manifestations of the same structure expressed in different languages. Through unified formulations and structural closure analysis, the author presents a clear path from local conditions to global structures, offering a new perspective on the deep unifying principles of modern mathematics.This book is intended for readers interested in foundational mathematical structures, cross-domain unification theories, and advanced mathematical thought.