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Students passing out of school and entering Junior College approach the subject of Calculus with a great deal of nervousness, if not an outright sense of dread. The subject is looked upon more as a challenge to somehow overcome in college than gaining knowledge of what may be described as the crown jewel of mathematics. Advanced text books on the subject tend to get overly technical, reinforcing the adverse impression among the beginners that Calculus is a tough subject, and the smart way is to somehow ‘clear’ the subject by going over it mechanically with the help of guides.
I have carried within me this disturbing feeling for long, that instead of being seen as a fascinating subject that should fire students’ imagination, Calculus is just seen as a troublesome subject.
This book on the basics of Calculus, if this presentation may be so described, is thus a humble attempt to introduce Calculus to youngsters just out of school, in a language with which they would feel at ease, helping them with liberal use of examples drawn from our day to day life. All the topics are explained in a structured manner so that students do not miss out on the fundamental logic and basic concepts of Calculus. The physical, graphical, algebraic and geometric interpretations of basic ideas of Calculus are explained in such great detail that students can look at Calculus from a refreshing viewpoint and dispel the impression that it is a tough subject.
The basic approach followed here for getting the subject across was to let it unfold itself as a flowing narrative. Yet care has been taken to ensure that no part of the contents would suffer from errors in the exposition of the basics.
From ‘thinking’ to the ‘finished draft’ of the book was a long and difficult journey, which was only made possible with the help from many friends. I am extremely happy to express my gratitude to all of them.
Prof. Dr. Sharad S. Sane from IIT-Bombay checked the initial draft of the first few chapters and gave his word of encouragement to undertake this project. He also checked the final draft and gave several important suggestions. Prof. Dr. Vasant M. Kane, former H.O.D. Mathematics and Vice Principal of RKT College, Prof. Prakash G. Dixit, H.O.D. Statistics, Modern College, Prof. C.V. Rayarikar, former H.O.D. Mathematics, Modern College, Prof. Mrs. S. A. Joshi from Ruia College and Mr. A.B. More extended all the help in editing the book and gave extremely useful and valuable comments for improving the text...
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