Pathak, H: General Topology and Applications. Cet article n’est pas disponible.Pathak, H: General Topology and Applications

Textes d'études supérieures en mathématiques 2

Hemant Kumar Pathak

Topologie générale et applications

Ce manuel traite de tous les sujets utiles de la topologie générale et des applications. Il contient des définitions complètes de sujets bien expliqués par des exemples appropriés, des explications et des preuves tout au long du livre. Le livre étudie les principaux sujets sur les espaces topologiques et les fonctions continues, la comptabilité, les espaces séparables et la connectivité, la compacité et le théorème de Tychonoff, les axiomes de séparation, la compactification, les produits et coproduits, l'intégration, le théorème de métrisation et la paracompacte, les filets et les filtres, les espaces métriques complets et les espaces fonctionnels, les espaces uniformes, les collecteurs et leur géométrie, les espaces de Baire et la géométrie dimensionnelle. essayer.

Ce livre est conçu comme un manuel pour un cours de deux semestres en topologie ponctuelle ou topologie métrique, ainsi que pour un cours du premier semestre en topologie au niveau inférieur de premier cycle. Le livre est également accessible aux jeunes majors en mathématiques qui ont étudié multivariable.

Hemant Kumar Pathak has been professor and Head of the School of Studies in Mathematics at the Pt. Ravishankar Shukla University, Raipur, India. He has also been the dean of science, member of standing committee, chairman, UFM Committee, director of the Center for Basic Sciences, and director of the Human Resource Development Centre at the same university. He has previously worked at Kalyan P.G. College, Bhilai Nagar, and the Government Postgraduate College, Dhamtari, India. He has been Vice-Chancellor (President) of Bharti Vishwavidyalaya, Durg. He earned his Ph.D. from Pt. Ravishankar Shukla University, Raipur in 1988.Professor Pathak was awarded the ``Distinguished Service Award 2011" by the Vijnana Parishad of India. He has also been nominated for 3rd Ganita Ratna Award 2023-24. With over 41 years of teaching and research experience, he has published three books, Theory of Functions of Complex Variable (CRC Press, Taylor &Fransis Group), An Introduction to Nonlinear Analysis and Fixed Point Theory (Springer Nature), Complex Analysis and Applications (Springer Nature), and more than 250 research papers in leading international journals of repute on approximation theory, operator theory, integration theory, fixed point theory, number theory, cryptography, summability theory, fuzzy set theory and Banach frames.Professor Pathak currently serve on the editorial boards of American Journal of Computational and Applied Mathematics, Fixed Point Theory and Algorithms for Sciences and Engineering (Springer Nature), and the Journal of Modern Methods in Numerical Mathematics, and as a reviewer for the Mathematical Review of the American Mathematical Society. In addition, he is a life member of the Allahabad Mathematical Society, Bharata Ganita parishad, the Vijana Parishad of India, Calcutta Mathematical Society, and National Academy of Mathematics.