Für diesen Artikel ist leider kein Bild verfügbar.

Sectoral Structures Theory

Anas Abou-Ismail (Autor)

Buch | Softcover

438 Seiten

2025 | Unabridged edition
Cambridge Scholars Publishing (Verlag)
978-1-0364-4277-4 (ISBN)

Artikel merken

Sectoral Structures Theory is a novel, interdisciplinary mathematical framework which studies the continuous arrangements of circular sectors into sectoral structures. This work explores enumerative functions of structural sets, their connections to Losanitsch's triangle, and their links to arithmetic functions. We establish the foundations of the theory within geometric combinatorics, graph theory, and number theory. After that, we use matrices and polynomials to describe and analyze sectoral structures. We integrate concepts from algebraic topology and algebraic geometry to study mappings and operations on these structures. The same concepts are expanded to define and study sectoral substructures and superstructures. Concepts from circle packings are used to investigate the covers and compliments as well. We utilize group theory to study various types of symmetries of sectoral sequences. The book concludes with an analysis of string embeddings into sectoral structures.

Anas Abou-Ismail is a Syrian Canadian author and physician living in the United States, with a keen interest in mathematics and mathematical linguistics. He has published notable works including Compartmental Models of the COVID-19 Pandemic for Physicians and Physician-Scientists, which describes the use of differential equations in analyzing the spread of infectious diseases. His linguistic contributions include Western Neo-Aramaic: The Dialect of Jubaadin and The Semitic Heritage of Northwest Syria, the latter of which employs Lambda Calculus in reconstructing dialects of ancient languages. While Abou-Ismail's prior publications have integrated mathematical principles into both medical and linguistic research, this book is his first purely mathematical publication.

Erscheinungsdatum	16.05.2025
Verlagsort	Newcastle upon Tyne
Sprache	englisch
Maße	148 x 212 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Themenwelt	Mathematik / Informatik ► Mathematik ► Graphentheorie
ISBN-10	1-0364-4277-2 / 1036442772
ISBN-13	978-1-0364-4277-4 / 9781036442774
Zustand	Neuware