Multi-Dimensional Arithmetic Progression

By Dharmendra Kumar Yadav

Research Paper (postgraduate) from the year 2020 in the subject Mathematics - Analysis, grade: 9.5, language: English, abstract: Unlock the hidden dimensions within mathematical sequences! Journey into the fascinating realm of multi-dimensional arithmetic progressions, where the familiar concept of evenly spaced numbers explodes into a landscape of intricate patterns and unexpected relationships. This groundbreaking work transcends the limitations of traditional one-dimensional progressions, venturing into higher-dimensional spaces and introducing the revolutionary concept of "multiplicity." Discover how the number of common differences associated with each term reshapes the very fabric of these mathematical structures, revealing a new layer of complexity and analytical potential. From the fundamental building blocks of one-dimensional progressions with multiplicity one, the exploration ascends through two- and three-dimensional spaces, meticulously examining the properties and behaviors of progressions with increasing multiplicity. Each chapter builds upon the last, offering a systematic and rigorous examination of these novel mathematical entities. Witness the evolution from simple linear sequences to complex, multi-faceted structures, uncovering the underlying principles that govern their behavior. Grasp the unifying framework that connects these diverse progressions, culminating in a generalized approach applicable to progressions of any dimension with multiplicity one. This book is not just a theoretical exploration; it's a gateway to future research, offering a glimpse into the vast potential of multi-dimensional arithmetic progressions with multiplicity in various fields. Whether you are a seasoned mathematician, a curious student, or a researcher seeking new avenues of exploration, this book provides the tools and insights to navigate this exciting frontier. Delve into the intricacies of common differences, higher-dimensional structures, and mathematical s

• Format: Paperback
• Language: English
• ISBN: 3346135764
• ISBN13: 9783346135766
• Release Date: March 2020
• Publisher: Grin Verlag
• Length: 118 Pages
• Weight: 0.36 lbs.
• Dimensions: 0.3" x 5.8" x 8.3"