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Mathematics-I for the paper BSC-105 of the latest AICTE syllabus has been written for the first semester engineering students of Indian universities. Paper BSC-105 is exclusively for CS&E students. Keeping in mind that the students are at the threshold of a completely new domain, the book has been planned with utmost care in the exposition of concepts, choice of illustrative examples, and also in sequencing of topics. The language is simple, yet accurate. A large number of worked-out problems have been included to familiarize the students with the techniques to solving them, and to instill confidence.Authors’ long experience of teaching various grades of students has helped in laying proper emphasis on various techniques of solving difficult problems.
This volume is an outgrowth of the Third International Symposium on Hamiltonian Systems and Celestial Mechanics. The main topics are Arnold diffusion, central configurations, singularities in few-body problems, billiards, area-preserving maps, and geometrical mechanics. All papers in the volume went through the refereeing process typical of a mathematical research journal.
1. 1 Preliminary Concepts A cam mechanism is a mechanical system consisting of three basic components: a driving element, called the cam; a driven element, termed the follower; and a fixed frame. Sometimes, an intermediate element is introduced between the cam and the follower with the purpose of improving the mechanism performance. This element is called the roller because function is to produce a pure-rolling relative motion be tween the cam and the follower. The purpose ofa cam mechanism is the transmission of power or information. In applications concerning power transmission, the main good to be transmitted is force or torque; in applications ofinformation transmission, the main good tr...
Engineering Mathematics – Volume I has been written for the first year Engineering students of WBUT. Starting with the basic nations of set theory and on introduction to symbolism in modern mathematics the entire book has been developed with an eye on the technology and precision through its solved examples. Authors’ long experience of teaching various grades of students has played an instrumental role towards this end. An emphasis on various techniques of solving difficult problems would be of immense help to the students.Key Features• Brief but just discussion of theory• Techniques of solving difficult questions• Solutions for a large number of technology problems• Coverage of syllabus in its totality• Examination oriented approach
Real Analysis: An Undergraduate Problem Book for Mathematicians, Applied Scientists, and Engineers is a classical Real Analysis/Calculus problem book. This topic has been a compulsory subject for every undergraduate studying mathematics or engineering for a very long time. This volume contains a huge number of engaging problems and solutions, as well as detailed explanations of how to achieve these solutions. This latter quality is something that many problem books lack, and it is hoped that this feature will be useful to students and instructors alike. Features Hundreds of problems and solutions Can be used as a stand-alone problem book, or in conjunction with the author’s textbook, Real Analysis: An Undergraduate Textbook for Mathematicians, Applied Scientists, and Engineers, ISBN 9781032481487 Perfect resource for undergraduate students studying a first course in Calculus or Real Analysis Contains explanatory figures, detailed techniques, tricks, hints, and “recipes” on how to proceed once we have a calculus problem in front of us.