An Introduction to Smooth Manifolds

MANJUSHA MAJUMDAR (TARAFDAR), PhD, former Professor of Pure Mathematics at the University of Calcutta, India. Her main interest lies in smooth manifolds. She has published a number of research papers in several international journals of repute. Under her supervision, 10 students have already been awarded their PhD degrees. She is member of many national and international mathematical societies and serves on the editorial board of several journals of repute. She has visited several institutions in India and abroad on invitation. She is the Principal Investigator of the prestigious e-PG Pathshala in Mathematics and MOOC in Mathematics, recommended by the Ministry of Human Resource Development, the Government of India. She co-authored a book entitled, Differential Geometry.

ARINDAM BHATTACHARYYA, PhD, is Professor, Department of Mathematics, Jadavpur University, Kolkata, India. His main interest lies in smooth manifolds, geometric flows and computational geometry. He has published a number of research papers in several international journals of repute. Under his supervision, 19 research scholars have already been awarded their PhD degrees and 8 are pursuing their research. He is member of many national and international mathematical societies and serves on the editorial board of several journals of repute. He has visited several institutions in India and abroad on invitation. He has organized several international conferences and research schools in collaboration with internationally reputed mathematical organizations. He is the Course Coordinator of Differential Geometry of the prestigious e-PG Pathshala in Mathematics and MOOC in Mathematics, recommended by the Ministry of Human Resource Development, the Government of India and of Netaji Subhas Open University, India. He co-authored a book entitled, Differential Geometry with Prof. Manjusha Majumdar.

MANJUSHA MAJUMDAR (TARAFDAR)博士，曾任印度加爾各答大學純數學教授。她的主要研究興趣在於光滑流形。她在多個國際知名期刊上發表了許多研究論文。在她的指導下，已有10名學生獲得博士學位。她是許多國內外數學學會的成員，並擔任多個知名期刊的編輯委員會成員。她應邀訪問了印度和國外的多個機構。她是印度政府人力資源發展部推薦的著名e-PG Pathshala數學課程和MOOC數學課程的主要研究者。她與他人合著了一本名為《微分幾何》的書。

ARINDAM BHATTACHARYYA博士，是印度加爾各答賈達普爾大學數學系的教授。他的主要研究興趣在於光滑流形、幾何流和計算幾何。他在多個國際知名期刊上發表了許多研究論文。在他的指導下，已有19名研究學者獲得博士學位，另有8名正在進行研究。他是許多國內外數學學會的成員，並擔任多個知名期刊的編輯委員會成員。他應邀訪問了印度和國外的多個機構。他與國際知名數學組織合作，組織了多個國際會議和研究學校。他是印度政府人力資源發展部推薦的著名e-PG Pathshala數學課程和MOOC數學課程的微分幾何課程協調員，也是Netaji Subhas Open University的課程協調員。他與Manjusha Majumdar教授合著了一本名為《微分幾何》的書。