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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
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About the Author
Dharmendra Kumar Yadav got schooling from Putki High School, Putki, Dhanbad. He graduated with Honors from RSP College, Jharia and Post-graduated from P K Roy Memorial College, Dhanbad in Mathematics. He did M. Phil. from Alagappa University, Tamil Nadu. Then he got his doctorate degree from Vinoba Bhave University, Hazaribag, Jharkhand under the supervision of Dr. D. K. Sen on the topic entitled A Study of Indefinite Non-integrable Functions. In Vedic Mathematics He developed Aanuruppen-Binomial Method using Vedic Mathematics formula Aanuruppen Viddhi and Binomial theorem. In Complex Analysis he applied Law of Trichotomy on Imaginary Unit 'iota' and proved many properties related to it. By using it, he extended the real number to Imaginary Number Line and then ended to a Circular Number Line. He proved the Big-bang Theory and Pulsating Theory of the universe by applying the concept of Imaginary unit 'iota'. He has published more than 25 research papers in journals of national & international repute and presented them in more than 10 conferences and seminars. His areas of research are Integral Calculus, Nonelementary Functions, Imaginary Unit, Vedic Mathematics.
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Research Paper (postgraduate) from the year 2020 in the subject Mathematics - Analysis, grade: 9.5, , language: English, abstract: In present book the concepts of arithmetic progressions and its related sub-topics have been extended keeping in view the vital role of arithmetic sequences and series in many research areas. The extension of the arithmetic progression has been named as Multi-dimensional Arithmetic Progression with Multiplicity. In first chapter some results and properties have been discussed for traditional arithmetic progression, which will be known as one dimensional arithmetic progression with multiplicity one. In chapter two and three two dimensional arithmetic progressions with multiplicities one and two have been explained. In chapter four to six three dimensional arithmetic progressions with multiplicities one to three have been discussed. In chapter seven rth dimensional arithmetic progression with multiplicity one has been discussed, which can be considered as the superset of all arithmetic progressions having any number of common differences with multiplicity one. In chapter eight some scope of further extension has been discussed for new scholars. The book ends with the references from where some help have been taken in preparing the book including my published research papers. 116 pp. Englisch. Seller Inventory # 9783346135766
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Research Paper (postgraduate) from the year 2020 in the subject Mathematics - Analysis, grade: 9.5, , language: English, abstract: In present book the concepts of arithmetic progressions and its related sub-topics have been extended keeping in view the vital role of arithmetic sequences and series in many research areas. The extension of the arithmetic progression has been named as Multi-dimensional Arithmetic Progression with Multiplicity. In first chapter some results and properties have been discussed for traditional arithmetic progression, which will be known as one dimensional arithmetic progression with multiplicity one. In chapter two and three two dimensional arithmetic progressions with multiplicities one and two have been explained. In chapter four to six three dimensional arithmetic progressions with multiplicities one to three have been discussed. In chapter seven rth dimensional arithmetic progression with multiplicity one has been discussed, which can be considered as the superset of all arithmetic progressions having any number of common differences with multiplicity one. In chapter eight some scope of further extension has been discussed for new scholars. The book ends with the references from where some help have been taken in preparing the book including my published research papers. Seller Inventory # 9783346135766
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Taschenbuch. Condition: Neu. Neuware -Research Paper (postgraduate) from the year 2020 in the subject Mathematics - Analysis, grade: 9.5, , language: English, abstract: In present book the concepts of arithmetic progressions and its related sub-topics have been extended keeping in view the vital role of arithmetic sequences and series in many research areas. The extension of the arithmetic progression has been named as Multi-dimensional Arithmetic Progression with Multiplicity. In first chapter some results and properties have been discussed for traditional arithmetic progression, which will be known as one dimensional arithmetic progression with multiplicity one. In chapter two and three two dimensional arithmetic progressions with multiplicities one and two have been explained. In chapter four to six three dimensional arithmetic progressions with multiplicities one to three have been discussed. In chapter seven rth dimensional arithmetic progression with multiplicity one has been discussed, which can be considered as the superset of all arithmetic progressions having any number of common differences with multiplicity one. In chapter eight some scope of further extension has been discussed for new scholars. The book ends with the references from where some help have been taken in preparing the book including my published research papers.BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt 116 pp. Englisch. Seller Inventory # 9783346135766
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Taschenbuch. Condition: Neu. Multi-Dimensional Arithmetic Progression | Dharmendra Kumar Yadav | Taschenbuch | 116 S. | Englisch | 2020 | GRIN Verlag | EAN 9783346135766 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. Seller Inventory # 118137779
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