Bøger af Dharmendra Kumar Yadav

Research Paper (postgraduate) from the year 2020 in the subject Mathematics - Analysis, grade: 9.6, , language: English, abstract: In present book the concepts of geometric progressions and its related sub-topics have been extended keeping in view the vital role of geometric progressions and series in many research areas. The extension of the geometric progression has been named as Multi-dimensional geometric Progression with Multiplicity.In first chapter some results and properties have been discussed for traditional geometric progression, which can be called one dimensional geometric progression with multiplicity one. In chapter two and three two dimensional geometric progressions with multiplicities one and two have been explained. In chapter four to six three dimensional geometric progressions with multiplicities one to three have been discussed.In chapter seven R-dimensional geometric progressions with multiplicity one has been discussed, which can be considered as the superset of all geometric progressions having any number of common ratios with multiplicity one. In chapter eight some scope of further extension has been discussed for new scholars and researchers.The book ends with the references from where some help have been taken in preparing the book including my published research papers and research book on multi-dimensional arithmetic progressions.

Scientific Essay from the year 2018 in the subject Pedagogy - Higher Education, grade: 9, , course: Mathematics (Hons), language: English, abstract: The aim of the article is to discuss an approach to teaching that generally a mathematics teacher follows in higher educational institutions of graduate and postgraduate students and of research scholars. It has been observed that all subjects including mathematics follow the same roots to develop. They all consist of three parts: assumptions, properties and applications, which brought them under the same umbrella of definition. In teaching too they follow the same steps to be explained to the students in order. Although there is no single best method available, an attempt has been made to propound one of the best idealistic method and a realistic inductive method. The article concluded with a short note that realistic inductive method is sufficient for graduate and postgraduate students while idealistic method is useful for research oriented students followed by the scope of further research in open problem section.

Academic Paper from the year 2007 in the subject Mathematics - Number Theory, , language: English, abstract: In the article a vedic mathematics subsutra anurupyena vidhi has been extended to find the nth power of an integer of any number of digits and of a rational number with terminating condition by applying binomial theorem for positive integral index, which is an attempt to correlate vedic mathematics with modern mathematics. The article reveals one of the logic hidden in this vedic sutra. Thus an attempt has been made to explain the unconventional aspects of method. Some people may find it difficult at first reading to understand the arithmetical operations but would play and enjoy it after some exercises.