Description
Author: Prof. Ram Bilas Misra
© 2019 | Publication: Sep 2019
ISBN: 978-1-925823-73-8 | 402 Pages
About the Book and Audience
The present book is the third issue of a series explaining various terms and concepts in Mathematics. 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. The present volume includes the topics from Laplace Transform up to Special Functions.
The subject matter is presented here in nineteen chapters of which the first one lists few results referred to in the later discussion. The next eighteen chapters cover the material on main topics of Laplace Transform, Inverse Laplace Transform, their Applications to Differential Equations, Linear Algebra, Linear Programming, Matrix Theory, Metric Spaces, Number System, Number Theory, Numerical Analysis, Operations Research, Power Series and Expansion of Functions, Quadratic Forms, Riemannian Geometry, Sequences and Series, Series Solutions of ODEs, Set Theory and Special Functions.
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
- Laplace Transform, pp. 5-30
- (Inverse) Laplace Transform, pp. 31-52
- (Applications of) Laplace Transforms to Differential Equations, pp. 53-70
- Linear Algebra, pp. 71-76
- Linear Programming, pp. 77-100
- Matrix Theory, pp. 101-124
- Metric Spaces, pp. 125-170
- Number System, pp. 171-176
- Number Theory, pp. 177-194
- Numerical Analysys, pp. 195-214
- Operation Research, pp. 215-224
- Power Series and Expansion of Functions, pp. 225-232
- Quadratic Forms, pp. 233-236
- Riemannian Geometry, pp. 237-296
- Sequences and Series, pp. 297-322
- Series Solutions of ODEs, pp. 323-336
- Set Theory, pp. 337-352
- Some Special Functions, pp. 353-366
Numerous Figures and Illustrations
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