International Transactions in Mathematical Sciences and Computer最新文献

PYTHAGOREAN TRIPLES: THE CONNECTION BETWEEN NUMBER THEORY, GEOMETRY AND ALGEBRA THROUGH THE VEDIC MATHEMATICS PERSPECTIVE 毕达哥拉斯三元组:从吠陀数学的角度看数论、几何和代数之间的联系

International Transactions in Mathematical Sciences and Computer Pub Date : 1900-01-01 DOI: 10.58517/itmsc.2022.15103

Prajakti Gokhale

{"title":"PYTHAGOREAN TRIPLES: THE CONNECTION BETWEEN NUMBER THEORY, GEOMETRY AND ALGEBRA THROUGH THE VEDIC MATHEMATICS PERSPECTIVE","authors":"Prajakti Gokhale","doi":"10.58517/itmsc.2022.15103","DOIUrl":"https://doi.org/10.58517/itmsc.2022.15103","url":null,"abstract":"The ancient mathematics of India is an amalgamation of poetry, literature, art, architecture and also scientific thought. Looking at Sanskrit literature, the literature developed for expressing mathematical thoughts and ideas have their special place in linguistic evolution. We can observe that the technical Sanskrit language evolved through the centuries as rich mathematical ideas developed. For the expression of these ideas, the strong technical vocabulary ofthe language was needed. This language approach was very different, it can be compared to today’s technical vocabulary we have developed for modern computer which was alien even 30 years ago. The ancient technical vocabulary was difficult for contemporary scholars to understand and hence mathematical ideas remain hidden in it for a longer time. The new approach of mathematics invented and developed by Bharti Krishna Tirtha, which did not show such language barriers. It was written in the form of one-line simple Sanskrit words called ‘sutra’. The deep meaning of sutra, its connection and its interpretation to different branches of mathematics and also the deep spiritual thought behind the sutra, is worth studying and researching. In my research paper, I will be presenting the technicalities of ancient mathematical language and exploring the method of Pythagorean triples through the Vedic mathematics ‘sutras’ formulated by Bharati Krishna Tirtha. I will also be highlighting the applications of triples in current mathematical scenario, to connect the different fields of mathematics, implication of which is making mathematics easy, conceptually clear and alsoperceived with a new dimension of thought.","PeriodicalId":305885,"journal":{"name":"International Transactions in Mathematical Sciences and Computer","volume":"80 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133607702","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Applications of Rudra Trikona 楼陀罗Trikona的应用

International Transactions in Mathematical Sciences and Computer Pub Date : 1900-01-01 DOI: 10.58517/itmsc.2022.15107

Sunil Manohar Patankar

引用次数: 0

Large Number System from Vedas and Vedic Literature 吠陀和吠陀文献中的大数字系统

International Transactions in Mathematical Sciences and Computer Pub Date : 1900-01-01 DOI: 10.58517/itmsc.2022.15104

R. Thakur

{"title":"Large Number System from Vedas and Vedic Literature","authors":"R. Thakur","doi":"10.58517/itmsc.2022.15104","DOIUrl":"https://doi.org/10.58517/itmsc.2022.15104","url":null,"abstract":"Hinduism is undoubtedly the oldest religion of the world and though there are disagreement over the period amongst some historian but it was during 1900 to 1500 BC when Hindu religion came into existence. The foremost religious text of Hindu is Vedas and the origin of the Vedas can be traced back as far as 1500 BCE, when a large group of Aryans crossed the Hindu Kush Mountains and came to Indian subcontinent. The Vedas are full of knowledge.The Vedas have guided the Indian civilization for thousands of years and the Four Vedas are the pillar of Hinduism. The very word Veda has a derivational meaning – the fountainhead and illimitable storehouse of all knowledge. This article will only focus on the mathematical content available in Vedas, Puranas, Ramayana and Mahabharata. In Rig Veda and Atharva Veda, there are several instance where numbers in the power of tens, even numbers, odd numbers, multiples of four, value of pi, mathematical operation such as addition, subtraction, multiplication and division have been discussed not in the way we use in our courses but the presence of larger number even up to 1060 is evident. The speed of light, about seven colourful rays of sunlight all these are enough to make a belief that Vedas have put a strong foundation of number system and decimal system. Not even that, even geometrical knowledge found in Sulbha sutra as par excellence and many of them have origin prior to Greek mathematician to whom we owe everything.","PeriodicalId":305885,"journal":{"name":"International Transactions in Mathematical Sciences and Computer","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134336959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Entire development of the human brain through Vedic Mathematics 人类大脑的整个发展是通过吠陀数学实现的

International Transactions in Mathematical Sciences and Computer Pub Date : 1900-01-01 DOI: 10.58517/itmsc.2022.15105

Ravi Asrani

{"title":"Entire development of the human brain through Vedic Mathematics","authors":"Ravi Asrani","doi":"10.58517/itmsc.2022.15105","DOIUrl":"https://doi.org/10.58517/itmsc.2022.15105","url":null,"abstract":"The Vedic Mathematics system provides us with a large number of options at each stage of working. Depending upon the pattern of the problem, one of these options is going to give the result with very little effort and in minimum time. Therefore the very first step is to look for the pattern of the problem which essentially involves systematic use of the right half of the brain. Then the logical computations are done by the left half. Even while computing, due to various options available, the mind is always kept alert to pick up the path of least effort. Thus while practicing the Vedic Maths, Human brain gets the systematic training of integrated functioning of the two halves of the brain. Due to multidimensional thinking, overall development of human brain takes place through Vedic Mathematics. Study was conducted on two samples of 25 students each. They are 6th to 10th grade students. The sample for the study was selected on the basis of the random sampling technique. I have performed experiments on them. The results of statistical t test of significance of difference in means indicate that Vedic Mathematics can help any person achieve greater skill, comprehension and efficiency in mathematics. These methods can improve logical thinking, computational speed, creativity and positive Mathematics attitude","PeriodicalId":305885,"journal":{"name":"International Transactions in Mathematical Sciences and Computer","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132333894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Correlation Study and Regression Analysis of Water Quality of Chhoiya River (a tributary of river Ganga) in Bijnor District (UP, India) 印度比杰诺尔地区恒河支流Chhoiya河水质相关性研究与回归分析

International Transactions in Mathematical Sciences and Computer Pub Date : 1900-01-01 DOI: 10.58517/itmsc.2022.15108

Salil Sharma, Vaidehi Pandit

{"title":"Correlation Study and Regression Analysis of Water Quality of Chhoiya River (a tributary of river Ganga) in Bijnor District (UP, India)","authors":"Salil Sharma, Vaidehi Pandit","doi":"10.58517/itmsc.2022.15108","DOIUrl":"https://doi.org/10.58517/itmsc.2022.15108","url":null,"abstract":"Physical and chemical parameters are monitored and used for assessment of water quality for three seasons namely rainy, winter, and summer of a medium-sized river “Chhoiya” in Bijnor District of Uttar Pradesh(India) so that it can be ascertained that the quality of water is fit for public consumption, recreation, irrigation and other purposes. The parameters are pH, electrical conductivity, total dissolved solids, total alkalinity, total hardness, total suspended solids, Nitrate, Sulphate, Dissolved oxygen, BOD, COD, and turbidity. There is a relationship between these parameters that shows that one parameter actually causes change in another parameter. We have used the statistical regression analysis method of three observation stations in all three seasons. A systematic correlation and regression study shows the significant linear relationship among different pairs of water quality parameters. The purpose of the present study is to establish a regression equation between two parameters, which can be used to predict the value of one parameter if the value of the other is known. This helps to find a tool that can be used to assess the value of physicochemical parameters and the extent of pollution theoretically, which is time-saving and cost- effective. This study was done from July 2017 to June 2018 on river Chhoiya to assess the quality of water and its suitability for various purposes.","PeriodicalId":305885,"journal":{"name":"International Transactions in Mathematical Sciences and Computer","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130667123","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

History of Binomial and Multinomial Expansions 二项式和多项展开的历史

International Transactions in Mathematical Sciences and Computer Pub Date : 1900-01-01 DOI: 10.58517/itmsc.2022.15101

Nidhi Handa, P. Taneja

引用次数: 0

Implementation of Vedic Sutras to Resolve Division 实施《吠陀经》化解分裂

International Transactions in Mathematical Sciences and Computer Pub Date : 1900-01-01 DOI: 10.58517/itmsc.2022.15102

Naveen Kumar, Rashmi Yadav, S. Gupta

引用次数: 0

VEDIC GANIT SUTRAS TEXT Dwetiyavriti/Second (Inner)fold 吠陀伽尼特经文本德威提雅维提/第二(内在)折叠

International Transactions in Mathematical Sciences and Computer Pub Date : 1900-01-01 DOI: 10.58517/itmsc.2022.15106

S. K. Kapoor, Ved Ratan

引用次数: 0