Description
Author: Prof. Ram Bilas Misra
© 2019 | Publication: May 2019
ISBN: 978-1-925823-51-6 | 318 Pages
About the Book and Audience
The book covers the mathematics syllabus of the first semester of the Bachelor’s degree in engineering of most of the universities all over the world. Knowledge of foundation courses in basic college mathematics such as classical algebra, trigonometry, 2-dimensional coordinate geometry and vector algebra is a pre-requisite. However, many topics such as matrices, calculus of both differential and integral of real- valued (scalar) functions as well as calculus of vector valued functions are dealt in detail ab initio. Special care is taken while presenting the applications of vectors to mechanics and integration of vector-valued functions with respect to scalars. At the end, a detailed bibliography and alphabetically arranged index of topics are also 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
- Matrices and Determinants (pp. 1-54)
- Limit of a Function (pp. 55-66)
- Continuity of a Function (pp. 67-78)
- Differentiation (pp. 79-100)
- Successive Differentiation (pp. 101-106)
- Applications of Derivatives (pp. 107-122)
- Maxima and Minima of a Function (pp. 127-142)
- Partial Differentiation (pp. 143-162)
- Series and Expansion of Functions (pp. 163-170)
- Envelopes, Involutes and Evolutes (pp. 171-190)
- Integration of Functions (pp. 191-210)
- Applications of Integration (pp. 211-218)
- Continuous Functions of Two Variables (pp. 219-226)
- Applications of Vectors to Geometry (pp. 227-244)
- Differentiation of Vector Functions (pp. 245-276)
- Integration of Vector Functions (pp. 277-294)
Numerous Figures and Illustrations
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