A Das Gupta Math Pdf

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NeenaGupta (born in 1984) is a professor at the Statistics and Mathematics Unit of the Indian Statistical Institute (ISI), Kolkata.[1] Her primary fields of interest are commutative algebra and affine algebraic geometry.[2]

Neena Gupta was previously a visiting scientist at the ISI and a visiting fellow at the Tata Institute of Fundamental Research (TIFR). She has won the Shanti Swarup Bhatnagar Prize for Science and Technology (2019) in the category of mathematical sciences, the highest honor in India in the field of science and technology.[3] In 2022 she was awarded the ICTP Ramanujan award. She is the third woman from India who got this award (after Teacher-Student duo Raman Parimala (1987), Sujatha Ramdorai(2004)).

Neena Gupta received the Indian National Science Academy Young Scientist award in 2014.[4] She solved the Zariski Cancellation Problem.[5][6] in positive characteristic. Her work has also earned her the inaugural Saraswathi Cowsik Medal in 2013, awarded by the TIFR Alumni Association.[7]

Gupta graduated with honours in mathematics from Bethune College in 2006. She earned her post graduation in mathematics from the Indian Statistical Institute in 2008[8] and subsequently, her Ph.D. degree in 2011 with commutative algebra as her specialization under the guidance of Amartya Kumar Dutta. The title of her dissertation was "Some results on Laurent polynomial fibrations and Quasi A*-algebras".[9]

The theory of gravity was widely known by the astronomers of the Gupta period. Aryabhata would also continue to add significant achievements during this time. He deduced the theory that the earth is round in shape and not flat. He also proved that the earth revolves around its own axis every day. He was also of the opinion that the motion of stars was a result of the motion caused by the rotation of the earth. This theory contradicts the previously believed notion that it is the sky that rotates and not the stars.

Medicine

During the Gupta period there was usage of mercury and iron in medicine. The use of these materials indicates the fact that the people belonging to the Gupta era had the knowledge of chemistry and even practiced it. Doctors during that time gained knowledge of operations and knew how to perform one when required.

Literature

Literature reached its pinnacle during the Gupta Dynasty. The primary themes of literature were poetry and romantic comedies. The literature work of the Gupta period related more to human behavior than to religious ideas. Sanskrit literature was very popular and was financed and supported by many rulers of the Gupta Empire. One such ruler was Chandragupta II. He was known to have had nine poets in his court, including Kalidasa, who is considered Ancient India's greatest poet and playwright.

Prakrit literature was also very popular during Gupta rule. One of the most notable illustrations of Prakrit literature was the Paumacariyam. It was in the Gupta period that the Vedic Puranas achieved their final form. The Markandeya Purana was also popular during the Gupta era as it was believed that the goddess Durga was worshiped during this period.

Education

Education played an important role in the Gupta period. Primary education could be obtained by the people. Formal and higher education could only be achieved by staying in Agraharas or monasteries. Unlike in most other parts of the world at the time, women could obtain an education. At this time, there were many educational institutions and universities set up in major cities.

The Takshashila University was one of the first centers in the world which offered higher education. The university was established before the Gupta Empire came into existence, somewhere around 700 BCE. Nalanda University was established by Kumaragupta I in the 5th century. The university was an important learning center and was one of the first universities which provided hostels for the students. The standard of education of both of these universities was so high that it attracted students from as far as China and Persia.

Administrative System

The Gupta Empire was classified into separate administrative divisions: the Rajya, Rashtra, Desha, Mandala, etc. Thus, importance was given to decentralization of power. The administrative division helped the rulers to systematically control their territories. The provinces were divided into numerous districts, or Vishayas, and a Visayapati was appointed to oversee it. They were assisted in this work by his council of representatives.

During the Gupta dynasty period, the charge of managing the welfare of the villages was upon the rural bodies which comprised of the headman of the village and the elders. The trading cities were organized by the guild merchants. The empire carried out trade activities with countries like China, Ceylon, several European countries and the East Indian islands.

Judicial System

The Gupta Empire had a separate judicial system. At the lowest level of the judicial system was the village assembly or trade guild. These were the councils appointed to settle the disputes between the parties that appeared before them.

The King presided over the highest court of appeal. In discharging his duty, the King was assisted by judges, ministers, priests, etc. The decision or the judgement of the court was based on the legal texts, the social customs prevailing during those times, or upon the decision of the King. It is believed that the punishments awarded to the guilty persons were often mild.

Art & Architecture

The Gupta period is generally regarded as a classic peak of North Indian art for all the major religious groups. Although painting was evidently widespread, the surviving works are almost all of religious sculpture. The period saw the emergence of the iconic carved stone deities in Hindu art, Buddha figures, and Jain tirthankara figures.

To honor his remarkable career and global achievements for the BGSU Department of Mathematics and Statistics, the family of the late Dr. Gupta has established the Dr. Arjun Gupta Endowed Doctoral Research Award. The effort, led by his wife, Mrs. Meera Gupta, will support international doctoral students studying statistics.

He was described as a "global citizen" who spoke the universal language of mathematics to communicate fluently across cultures. From childhood, Gupta was committed to education, serving as a mentor to countless students, and lived by the motto of "Knowledge is power." In 1976, Gupta joined BGSU as a professor in the Department of Mathematics and Statistics. He received his doctoral degree from Purdue University, and bachelor's and master's degrees in India from Poona University and Banaras Hindu University, respectively.

"On behalf of the entire department, I would like to express our sincere gratitude to the Gupta Family for their generous support to continual research in Statistics. This award embeds the remembrance for Dr. Gupta and marks his extraordinary contribution and passion in working for the department, university, and statistical community," said Dr. Junfeng Shang, professor and chair of the BGSU Department of Mathematics and Statistics.

Gupta was an elected fellow of the American Statistical Association, the Institute of Statisticians and the Royal Statistical Society of England. He received the honor of Distinguished University Professor and the Olscamp Research Award at BGSU. During his career, Gupta edited and wrote more than 20 books, available globally, and 530 peer-reviewed publications, in addition to advising more than 30 Ph.D. students. He was invited to more than 60 countries to provide nearly 80 keynote addresses at scientific symposia and conferences to present his rigorous, cutting-edge knowledge.

Moldavan, A. & Gupta, D. (2021). Elementary Preservice Teachers Integrating Multicultural Literature to Design Culturally Relevant Mathematical Tasks. Published in Proceedings of the 43rd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Philadelphia, PA

Dick, L., Soto, M., Appelgate, M., & Gupta, D. (2020). Continuous improvement lesson study with mathematics teacher educators. Proceedings of the 42nd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Mazatln, Mexico

Gupta, D., Hinchman, T., Hood, J., Manuel, A. K., & Lopez, M. D. (2019). Learning Through Play. Proceedings of the forty-first annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. St Louis, MO: University of Missouri.

Dick, L. K., Soto, M. M., Appelgate, M. H., Gupta, D. (2018). Elementary preservice teachers whole-class instructional decision making. Proceedings of the 40th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Greenville, SC.

Wilkerson, T. L., Gupta, D., & Kerschen, K. (November, 2016). Building Conceptual Understanding of Fractions through a Six-Week Intervention in Early Elementary. Poster Proceedings of the 38th annual meeting of the North American Chapter of International Group for the Psychology of Mathematics Education.

Moldavan, A. & Gupta, D. (October, 2021). Elementary Preservice Teachers Integrating Multicultural Literature to Design Culturally Relevant Mathematical Tasks. Presented at the 43rd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Philadelphia, PA

Lindt. S. & Gupta, D. (February, 2016). Mathematics Teaching Self-efficacy Beliefs: The Influence of Facilitating a Week-Long Summer Camp for College Students. Presented at Southwest Educational Research Association, New Orleans, LA.

Gupta, D. & Hutson, T. (January, 2015). Improving Efficacy and Outcomes in Math and Science: providing Enrichment STEM Experiences in elementary Pre-Service Method Courses. Presented at Southwest Educational Research Association, San Antonio, TX.

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