Description
Author: Prof. Ram Bilas Misra
© 2019 | Publication: Aug 2019
ISBN: 978-1-925823-68-4 | 350 Pages
About the Book and Audience
The present book is the first issue of a series explaining various terms and concepts in Mathematics. It introduces the topics, definitions, main results and theorems (generally) avoiding proofs of the results. The topics are arranged in alphabetical order starting from Algebra (Classical) and cover up to Geometry (3-dimensional Coordinate) in the present volume. Further topics are included in the forthcoming volumes.
The subject matter is presented here in fifteen chapters of which the first one lists few results referred to in the later discussion. The next fourteen chapters cover the material on main topics of Algebra (Classical), Algebraic Structures, Arithmetic, Calculus (Differential), Calculus (Integral), Complex variable, Determinants, Differential Equations (Or- dinary), Differential Equations (Partial), Diffusion Equation, Dynamics, Fourier Transforms of Functions, Geometry (Coordinate: 2-dimensional) and Geometry (Coordinate: 3-dimensional).
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
- Preliminaries, pp. 1-4
- Algebra (Classical), pp. 5-12
- Algebraic Structures, pp. 13-26
- Arithmetic, pp. 27-28
- Calculus (Differential), pp. 29-86
- Calculus (Integral), pp. 87-118
- Complex Variable, pp. 119-156
- Determinants, pp. 157-160
- Differential Equations (Ordinary), pp. 161-184
- Differential Equations (Partial), pp. 185-216
- Diffusion Equation, pp. 217-220
- Dynamics, pp. 221-254
- Fourier Transforms of Functions, pp. 255-268
- Geometry (Coordinate: 2-Dimensional), pp. 269-284
- Geometry (Coordinate: 3-Dimensional), pp. 285-316
Numerous Figures and Illustrations
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