Multi-Dimensional Arithmetic Progression - Yadav, Dharmendra Kumar
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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…mehr

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Produktbeschreibung
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.
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Autorenporträt
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.