Description
Author: Prof. Ram Bilas Misra
© 2019 | Publication: May 2019
ISBN: 978-1-925823-53-0 | 336 Pages
About the Book and Audience
The present book is in sequel with the Part 1 of this series. It covers the mathematics syllabus of the second semester of the Bachelor’s degree in engineering of most of the universities all over the world. The knowledge of the foundation courses in basic college mathematics such as classical algebra, trigonometry, 2-dimensional coordinate geometry, vector algebra and Part 1 of the series is a pre-requisite. However, topics such as ODEs, sequences and series, calculus of functions of complex variable, etc., are dealt in detail ab initio. At the end, a detailed bibliography and alphabetically arranged index of topics are provided for easy reference.
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
- Ordinary Differential Equations (pp. 1-75)
- Series Solutions of ODEs (pp. 75-88)
- Convergence of Improper Integrals (pp. 89-108)
- Evaluation of Limits (pp. 109-120)
- Uniform Convergence of Improper Integrals (pp. 121-130)
- Beta and Gamma Functions (pp. 131-144)
- Double Integration (pp. 145-156)
- Triple Integration (pp. 157-176)
- Volume and Area of Surfaces (pp. 177-190)
- Convergence of Infinite Series (pp. 191-230)
- Fourier Series (pp. 231-256)
- Functions of a Complex Variable and Their Derivation (pp. 257-264)
- Complex Integration (pp. 265-288)
- Conformal Transformation (pp. 289-308)
- Complex Potential (pp. 309-314)
Numerous Figures and Illustrations
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