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.
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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).
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