Pathak, H: General Topology and Applications. Dieser Artikel ist nicht verfügbar.Pathak, H: General Topology and Applications

Graduate Texts in Mathemkatics 2

Hemant Kumar Pathak

Allgemeine Topologie und Anwendungen.

Dieses Lehrbuch erläutert alle nützlichen Themen der allgemeinen Topologie und Anwendungen. Es enthält vollständige Definitionen von Themen, die durch geeignete Beispiele, Erklärungen und Beweise im gesamten Buch gut erklärt werden. Das Buch untersucht wichtige Themen zu topologischen Räumen und kontinuierlichen Funktionen, Zählbarkeit, trennbaren Räumen und Verbundenheit, Kompaktheit und dem Tychonoff-Theorem, Trennaxiomen, Verdichtung, Produkten und Koprodukten, Einbettung, Metrizationstheorem und Parakompaktheit, Netze und Filter, komplette metrische Räume und Funktionsräume, einheitliche Räume, Krümmer und deren Geometrie, Baire-Räume und Dimensionen. Geometrie

Dieses Buch ist als Lehrbuch für einen Zweisemester-Kurs in Punktset-Topologie oder metrischer Topologie sowie für einen ersten Semesterkurs in Topologie auf der unteren Grundstufe konzipiert. Das Buch ist auch für Junior-Mathematik-Studiengänge zugänglich, die Multivariable studiert haben.

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.