Description
Author: Prof. Ram Bilas Misra
© 2019 | Publication: Jul 2019
ISBN: 978-1-925823-61-5 | 104 Pages
About the Book and Audience
The book deals with Axiomatic Systems taught at the tertiary level. The subject matter is presented in 7 chapters followed by a short bibliography and alphabetically arranged index. The first 2 chapters offer pre-requisites starting from number system and set theory. The next 2 chapters deal with mathematical logic, truth tables and history of various finite geometries, especially those of Fano, Pappus and Desargues. Some basic properties of Axiomatic Systems are covered in Chapter 5. Chapter 6 deals with a comprehensive course on metric spaces presenting some basic facts of real analysis as well. Topological systems with some basic models and properties are covered in the last chapter. The presentation is made as lucid as possible based on the author’s long teaching experience of over 5 decades at different universities.
About the Author
Prof. Dr. Ram Bilas Misra, a former Vice-Chancellor of Avadh University, Faizabad (Ayodhya), India, has a long experience of teaching the subject since 1962 at different universities in India and abroad. He published 64 original research papers in Diff. Geom. of Finslerian Manifolds and Mathematical Physics in the leading research journals of international repute. As a regular reviewer, he published reviews of over 100 research papers in “Mathl. Reviews” and “Zentralblatt für Mathematik”. He has been frequently quoted both at home and abroad; notably, in the research monographs “Foundations of Finsler Geometry and Special Finsler Spaces” by Prof. Makoto Matsumoto of Kyoto Univ., Japan and “Finsler Geometry, Relativity and Gauge Theories” by Prof. G.S. Asanov of Moscow State Univ., Russia.
Prof. Misra is widely travelled and experienced academician. He has been a frequent visitor to the universities at Turin, Padua and ICTP, Trieste (all in Italy) and a visiting professor to the universities at Sopron (Hungary), Wroclaw (Poland) and Mahatma Gandhi Kashi Vidyapith, Varanasi (India).
Chapters
- Number System
- Set Theory
- Mathematical Logic
- History of Finite Geometry
- Properties of Systems
- Metric Spaces
- Basic Topological Systems
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