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Multi-Dimensional Geometric Progression

Dharmendra Kumar Yadav
4.9/5 (14289 ratings)
Read Now Download Now ⏭ listen AudioBook
Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Multi-Dimensional Geometric Progression. To get started finding Multi-Dimensional Geometric Progression, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
88
Format
PDF, EPUB & Kindle Edition
Publisher
Grin Verlag
Release
2020
ISBN
3346174166

Multi-Dimensional Geometric Progression

Dharmendra Kumar Yadav
4.4/5 (1290744 ratings)
Read Now Download now ⏭ listen AudioBook
Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Multi-Dimensional Geometric Progression. To get started finding Multi-Dimensional Geometric Progression, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
88
Format
PDF, EPUB & Kindle Edition
Publisher
Grin Verlag
Release
2020
ISBN
3346174166

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