Engineering Mathematics - I

<div><!--block-->The need for a textbook on Engineering Mathematics for Under Graduate students of Engineering as per the revised syllabus was felt by the UG students of Engineering. Taking into account the fact that there is no comprehensive text book for the Bachelor of Engineering students on Engineering Mathematics an attempt has been made to fill a niche that exists between more elementary books and books for advance studies.<br>The book has been prepared according to the syllabus of various Technical Universities and is conceived as a text book for the course in Bachelor of Engineering of all branches. The contents of the book have been systematically organized and spread over fifteen chapters. The book not only covers the entire scope of the subject but explains the philosophy of the Basics of Engineering Mathematics, makes the understanding of the subject more interesting and explained with different types of solved examples.<br><strong>Contents: <br>Unit – I: Recapitulation of Mathematics,</strong> <strong>1:</strong> Basics of Differentiation, <strong>2:</strong> Rolle’s and Lagrange’s Theorem, <strong>3:</strong> Tangent and Normal, <strong>4:</strong> Indefinite and Definite Integral, <strong>Unit ‐ II: Ordinary Derivatives and Applications,5:</strong> Expansion of Functions, <strong>6:</strong> Maxima and Minima, <strong>7:</strong> Curvature, <strong>8:</strong> Curve Tracing, <strong>Unit ‐ III: Partial Derivatives and Applications, 9:</strong> Partial Differentiation, <strong>10:</strong> Jacobian, <strong>11:</strong> Approximations and Errors, <strong>Unit ‐ IV: Integral Calculus, 12:</strong> Definite Integral as a Limit of Sum, <strong>13:</strong> Beta and Gamma Functions, <strong>Unit ‐ V: Applications of Integral Calculus, 14:</strong> Multiple Integrals, <strong>15:</strong> Volume and Surface of Solid.<br><strong>About the Authors:<br>Prof. R. N. Yadava</strong>, M.Sc. (BHU Varanasi), Ph. D. (IIT Bombay), Raman Research Fellow and a Founder Member of RRL (CSIR) Bhopal has served CSIR as Director Gr. Sci. and executed a variety of research projects at National & International level and supervised Research Scholars and PG Students for their Ph. D. & M. Tech. thesis respectively.He has been invited to deliver technical talks in the esteemed universities of USA, Canada, UK, Germany, The Netherlands, Thailand, Korea, Australia, etc., and to Chair Technical Sessions in National and International Conferences. He has published his research papers in journals of international repute. He is also co-author of Two books entitled Engineering Mathematics-II (For the students of Bachelor of Technology/Engineering) & Advanced Engineering Mathematics (for the students of M. Tech. as per the syllabus of RGTU and other University).<br><strong>Dr. Anil Goyal</strong>, M.Sc & Ph.D. from Barkatullah University, Bhopal, have taught various subjects as per curriculum to the students of M.Sc., M.Tech., M.C.A. and B.E. Also he has supervised research fellows for their Ph.D. thesis. He has published number of research papers in International and National Journals. He is co-author of three books namely 'Advanced Engineering Mathematics', 'Engineering Mathematics II' and 'Discrete Mathematics' according to Rajiv Gandhi Prodyogiki Vishwavidyalaya syllabus, which have proved to be great help to the students. He is also Dean of Applied Sciences and presently working as Professor of Mathematics at UIT, RGPV Bhopal.<br><strong>Dr. Ramakant Bhardwaj</strong>, M.Sc. & Ph.D. is working as Deputy Director (R&D) in TIT Group of Institutions Bhopal. He is Head of the Department of Mathematics in TIT & Science Bhopal. He has published research papers in journals of International repute and also presented research papers in National and International conferences. Dr. Bhardwaj has delivered technical talks in Imperial College of London (UK), University of Chaing-Mai Thailand, National University of Education Changhua Taiwan, etc. He is also co-author of four books entitled 'Comprehensive Remedial Mathematics, 'Remedial Mathematics' ( For the students of B. Pharmacy as per the syllabus of UPTU and RGTU.), Engineering Mathematics-II (For the students of Engineering) & Advanced Engineering Mathematics (For the students of M.Tech. as per the syllabus of RGTU).<br><strong>Dr. Sarvesh Kumar Agrawal</strong>, M.Sc., M.Phil. & Ph.D. has published a number of research papers in International and National journals and participated in many national and international conferences. He is also co-author of four books entitled 'Comprehensive Remedial Mathematics', 'Remedial Mathematics' ( For the students of B. Pharmacy as per the syllabus of UPTU and RGTU.), Engineering Mathematics-II (For the students of Engineering) & Advanced Engineering Mathematics (For the students of M.Tech. as per the syllabus of RGTU). Presently he is working as an Associate Professor in the Department of Mathematics, Truba College of Science & Technology, Bhopal.<br><strong>Dr. Neeta Tiwari</strong> is working as Dean Academics, at the Bansal Institutes of Research and Technology, Bhopal MP, India. She has 23 years experience as a Teacher, Researcher and Consultant in the field of Mathematics. She has published three books and various publications in scientific journals and International conferences. She regularly serves as reviewer for International journals and conference.</div>