GEOMETRY, ALGORITHMS AND VARIATIONS: MODERN MATHEMATICAL THEORIES

By YÜCESAN, AHMET, Dr.

Book Id: WPLBN0100750492
Format Type: PDF (eBook)
File Size: 10.41 MB.
Reproduction Date: 12/20/2024

Title:	GEOMETRY, ALGORITHMS AND VARIATIONS: MODERN MATHEMATICAL THEORIES
Author:	YÜCESAN, AHMET, Dr.
Volume:
Language:	English
Subject:	Non Fiction, Education, MODERN MATHEMATICAL THEORIES
Collections:	Authors Community, Mathematics
Historic Publication Date:	2024
Publisher:	BZT TURAN PUBLISHING HOUSE

Member Page:	ANIL CAN
Citation APA MLA Chicago Yücesanitor, D. A. (Ed.). (2024). GEOMETRY, ALGORITHMS AND VARIATIONS: MODERN MATHEMATICAL THEORIES. Retrieved from http://gutenberg.cc/

Description
The pursuit of knowledge in mathematics consistently yields profound insights into the theoretical frameworks that underpin our understanding of the structure of the natural world and complex structures. This book represents a collection of work that explores the boundaries of mathematical reasoning, algorithmic design, and geometric analysis, showcasing the diverse applications and innovative methodologies that define modern research. From the discovery of unit fractions and the development of mathematical generalizations to the complex behavior of helix, rectifying, hyperquadrical, and hyperelastic curves in Galilean 3-space and Minkowski geometry, this collection serves as a testament to the dynamic interplay between theory and practice. Each chapter exemplifies the creativity and rigor of its contributors, providing both foundational knowledge and new perspectives for readers interested in the mathematical sciences and their applications. The chapters presented here also highlight the critical role of mathematical modeling and algorithm development in addressing real-world problems such as optimizing spatial representations in service delivery. These contributions highlight not only the elegance of mathematics as a discipline but also its practical importance in solving everyday problems and advancing technological innovation. I sincerely hope that this book will inspire researchers, educators, and students to further explore the depths and limitless applications of mathematical theory. The collective efforts of the authors and their commitment to academic excellence have culminated in a resource that will undoubtedly enrich its readers’ understanding and appreciation of mathematics. I express my gratitude to all contributors for their extraordinary work and dedication, and I am confident that readers will find this collection as enlightening and engaging as it was for those who collaborated in its creation.

Table of Contents
CHAPTER 1 A STUDY ON THE NATURAL AND CONJUGATE MATES OF NON-NULL SPACE CURVES .........................................................................................................1 Ahmet YÜCESAN Adile Gökçe ÇINAR CHAPTER 2 HYPERELASTIC CURVES IN GALILEAN 3-SPACE ........................................17 Tunahan TURHAN CHAPTER 3 OPTIMIZATION AND REGION DELINEATION BASED ON PROXIMITY TO POINTS: A STUDY ON THE PIZZA DELIVERY PROBLEM ............................31 Nuh ÖZBEY Narin ÇELİK CHAPTER 4 ALGORITHM DEVELOPMENT STUDY USING MATHEMATICAL GENERALIZATION METHOD (EXAMPLE: SUM OF UNIT FRACTIONS) ...49 Nuh ÖZBEY Elifsu TOZLUKLU