Region Mathematics-a New Direction in Mathematics: Part-1

Ranjit Biswas

doi:doi:10.11648/j.pamj.20160503.11

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Region Mathematics-a New Direction in Mathematics: Part-1

Ranjit Biswas

Published in Pure and Applied Mathematics Journal (Volume 5, Issue 3)

Received: 23 March 2016 Accepted: 13 April 2016 Published: 25 April 2016

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Abstract

In this paper the author introduces a new direction in Mathematics called by “Region Mathematics” to the world mathematicians, academicians, scientists and engineers. The purpose of developing ‘Region Mathematics’ is not just for doing a generalization of the existing rich volume of classical Mathematics, but it has automatically happened so by this work. To introduce the ‘Region Mathematics’, we begin here with introducing three of its initial giant family members: Region Algebra, Region Calculus and Multi-dimensional Region Calculus. Three more of its initial giant family members: Theory of Objects, Theory of A-numbers (Number Theory) and Region Geometry will follow in the sequel work. The development of the subject ‘Region Mathematics’ is initiated from its zero level for all its initial giant family members. The subject is expected to grow very fast with time to take its own shape, and it will surely cater to all branches of Science, Engineering, and others wherever an element of mathematics needs to be done. With the introduction of Region Mathematics, all existing branches of mathematics will get wide horizontal shifts in the academic universe of science, mathematics, engineering, social science, statistics, etc. with many more alternative new approaches and new thoughts.

Published in	Pure and Applied Mathematics Journal (Volume 5, Issue 3)
DOI	10.11648/j.pamj.20160503.11
Page(s)	39-59
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Region, Object, Calculus Space, Region Calculus, Complete Region

References

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[3]	Biswas, Ranjit.: Region Algebra, Theory of Objects & Theory of Numbers. International Journal of Algebra. Vol. 6(8). 1371–1417 (2012).
[4]	Biswas, Ranjit.: Calculus Space. International Journal of Algebra. Vol. 7(16). 791–801 (2013).
[5]	Biswas, Ranjit.: Region Algebra. Information. Vol. 15(8). 3195-3228 (2012).
[6]	Biswas, Ranjit.: “Theory of Numbers” of a Complete Region. Notes on Number Theory and Discrete Mathematics. Vol. 21(3) 1-21 (2015).
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[23]	Pierce, Richard S.: Associative algebras. Graduate Texts in Mathematics. Studies in the History of Modern Science. Springer-Verlag. Berlin. (1982)
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Ranjit Biswas. (2016). Region Mathematics-a New Direction in Mathematics: Part-1. Pure and Applied Mathematics Journal, 5(3), 39-59. https://doi.org/10.11648/j.pamj.20160503.11

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Ranjit Biswas. Region Mathematics-a New Direction in Mathematics: Part-1. Pure Appl. Math. J. 2016, 5(3), 39-59. doi: 10.11648/j.pamj.20160503.11

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Ranjit Biswas. Region Mathematics-a New Direction in Mathematics: Part-1. Pure Appl Math J. 2016;5(3):39-59. doi: 10.11648/j.pamj.20160503.11

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@article{10.11648/j.pamj.20160503.11,
  author = {Ranjit Biswas},
  title = {Region Mathematics-a New Direction in Mathematics: Part-1},
  journal = {Pure and Applied Mathematics Journal},
  volume = {5},
  number = {3},
  pages = {39-59},
  doi = {10.11648/j.pamj.20160503.11},
  url = {https://doi.org/10.11648/j.pamj.20160503.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20160503.11},
  abstract = {In this paper the author introduces a new direction in Mathematics called by “Region Mathematics” to the world mathematicians, academicians, scientists and engineers. The purpose of developing ‘Region Mathematics’ is not just for doing a generalization of the existing rich volume of classical Mathematics, but it has automatically happened so by this work. To introduce the ‘Region Mathematics’, we begin here with introducing three of its initial giant family members: Region Algebra, Region Calculus and Multi-dimensional Region Calculus. Three more of its initial giant family members: Theory of Objects, Theory of A-numbers (Number Theory) and Region Geometry will follow in the sequel work. The development of the subject ‘Region Mathematics’ is initiated from its zero level for all its initial giant family members. The subject is expected to grow very fast with time to take its own shape, and it will surely cater to all branches of Science, Engineering, and others wherever an element of mathematics needs to be done. With the introduction of Region Mathematics, all existing branches of mathematics will get wide horizontal shifts in the academic universe of science, mathematics, engineering, social science, statistics, etc. with many more alternative new approaches and new thoughts.},
 year = {2016}
}

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TY  - JOUR
T1  - Region Mathematics-a New Direction in Mathematics: Part-1
AU  - Ranjit Biswas
Y1  - 2016/04/25
PY  - 2016
N1  - https://doi.org/10.11648/j.pamj.20160503.11
DO  - 10.11648/j.pamj.20160503.11
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JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 39
EP  - 59
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20160503.11
AB  - In this paper the author introduces a new direction in Mathematics called by “Region Mathematics” to the world mathematicians, academicians, scientists and engineers. The purpose of developing ‘Region Mathematics’ is not just for doing a generalization of the existing rich volume of classical Mathematics, but it has automatically happened so by this work. To introduce the ‘Region Mathematics’, we begin here with introducing three of its initial giant family members: Region Algebra, Region Calculus and Multi-dimensional Region Calculus. Three more of its initial giant family members: Theory of Objects, Theory of A-numbers (Number Theory) and Region Geometry will follow in the sequel work. The development of the subject ‘Region Mathematics’ is initiated from its zero level for all its initial giant family members. The subject is expected to grow very fast with time to take its own shape, and it will surely cater to all branches of Science, Engineering, and others wherever an element of mathematics needs to be done. With the introduction of Region Mathematics, all existing branches of mathematics will get wide horizontal shifts in the academic universe of science, mathematics, engineering, social science, statistics, etc. with many more alternative new approaches and new thoughts.
VL  - 5
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Author Information

Ranjit Biswas

Department of Computer Science & Engineering, Faculty of Engineering & Technology, Jamia Hamdard University, Hamdard Nagar, New Delhi, India

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APA Style

Ranjit Biswas. (2016). Region Mathematics-a New Direction in Mathematics: Part-1. Pure and Applied Mathematics Journal, 5(3), 39-59. https://doi.org/10.11648/j.pamj.20160503.11

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ACS Style

Ranjit Biswas. Region Mathematics-a New Direction in Mathematics: Part-1. Pure Appl. Math. J. 2016, 5(3), 39-59. doi: 10.11648/j.pamj.20160503.11

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AMA Style

Ranjit Biswas. Region Mathematics-a New Direction in Mathematics: Part-1. Pure Appl Math J. 2016;5(3):39-59. doi: 10.11648/j.pamj.20160503.11

Copy | Download

@article{10.11648/j.pamj.20160503.11,
  author = {Ranjit Biswas},
  title = {Region Mathematics-a New Direction in Mathematics: Part-1},
  journal = {Pure and Applied Mathematics Journal},
  volume = {5},
  number = {3},
  pages = {39-59},
  doi = {10.11648/j.pamj.20160503.11},
  url = {https://doi.org/10.11648/j.pamj.20160503.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20160503.11},
  abstract = {In this paper the author introduces a new direction in Mathematics called by “Region Mathematics” to the world mathematicians, academicians, scientists and engineers. The purpose of developing ‘Region Mathematics’ is not just for doing a generalization of the existing rich volume of classical Mathematics, but it has automatically happened so by this work. To introduce the ‘Region Mathematics’, we begin here with introducing three of its initial giant family members: Region Algebra, Region Calculus and Multi-dimensional Region Calculus. Three more of its initial giant family members: Theory of Objects, Theory of A-numbers (Number Theory) and Region Geometry will follow in the sequel work. The development of the subject ‘Region Mathematics’ is initiated from its zero level for all its initial giant family members. The subject is expected to grow very fast with time to take its own shape, and it will surely cater to all branches of Science, Engineering, and others wherever an element of mathematics needs to be done. With the introduction of Region Mathematics, all existing branches of mathematics will get wide horizontal shifts in the academic universe of science, mathematics, engineering, social science, statistics, etc. with many more alternative new approaches and new thoughts.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Region Mathematics-a New Direction in Mathematics: Part-1
AU  - Ranjit Biswas
Y1  - 2016/04/25
PY  - 2016
N1  - https://doi.org/10.11648/j.pamj.20160503.11
DO  - 10.11648/j.pamj.20160503.11
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 39
EP  - 59
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20160503.11
AB  - In this paper the author introduces a new direction in Mathematics called by “Region Mathematics” to the world mathematicians, academicians, scientists and engineers. The purpose of developing ‘Region Mathematics’ is not just for doing a generalization of the existing rich volume of classical Mathematics, but it has automatically happened so by this work. To introduce the ‘Region Mathematics’, we begin here with introducing three of its initial giant family members: Region Algebra, Region Calculus and Multi-dimensional Region Calculus. Three more of its initial giant family members: Theory of Objects, Theory of A-numbers (Number Theory) and Region Geometry will follow in the sequel work. The development of the subject ‘Region Mathematics’ is initiated from its zero level for all its initial giant family members. The subject is expected to grow very fast with time to take its own shape, and it will surely cater to all branches of Science, Engineering, and others wherever an element of mathematics needs to be done. With the introduction of Region Mathematics, all existing branches of mathematics will get wide horizontal shifts in the academic universe of science, mathematics, engineering, social science, statistics, etc. with many more alternative new approaches and new thoughts.
VL  - 5
IS  - 3
ER  -

Copy | Download