Description
Author: Prof. Ram Bilas Misra
© 2019 | Publication: Sep 2019
ISBN: 978-1-925823-74-5 | 298 Pages
About the Book and Audience
The present book is the fourth issue of a series explaining various terms and concepts in Mathematics and Statistics. Introducing the topics in concise form of definitions, main results, theorems and examples, it may serve as a reference book. The topics arranged in alphabetical order starting from Algebra (Classical) and covering up to Geometry (3-dimensional Coordinate) were included in the first volume. Further topics from Differential Geometry up to Jacobians have been included in volume 2, while volume 3 includes the topics from Laplace Transform up to Special Functions. The present volume deals with the topics from Statics up to Vector Spaces.
The subject matter is presented here in fourteen chapters of which the first one lists few results referred to in the later discussion. The next thirteen chapters cover the material on main topics of Statics, Statistical Techniques, Tensors (Cartesian), Tensors in Cylindrical and Spherical Coordinates, Theory of Equations, Topological Spaces, Trigonometry (Plain), Vector Algebra, their applications to Geometry, their Derivation and Integration. The last chapter discusses the Vector Spaces in detail.
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. 1-6
- Statics, pp. 7-38
- Statistics (Elementary), pp. 39-66
- Tests of Significance, pp. 67-76
- Tensors (Cartesian), pp. 77-104
- Tensors in Cylindrical and Spherical Coordinates, pp. 105-126
- Theory of Equations, pp. 127-130
- Topology, pp. 131-148
- Trigonometry (Plain), pp. 149-162
- Vector Algebra, pp. 163-188
- Vectors in Geometry, pp. 189-200
- Vector Calculus (Derivation), pp. 201-228
- Vector Calculus (Integration), pp. 229-244
- Vector Spaces, pp. 245-266
Numerous Figures and Illustrations
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