Advanced Engineering Mathematics

Objective of this book is to provide to the students of Master of Technology/Engineering a simple, clear and logical presentation of the basic concepts of various branches of advanced mathematics. The book has been prepared according to the syllabus of various Technical Universities in India and is conceived as a textbook for the course in Master of Technology/Engineering of all branches and specializations. The contents of the book have been systematically organized and spread over twenty three chapters. Each chapter begins with the fundamentals and explained with different type of solved examples. The book not only covers the entire scope of the subject but explains the philosophy of the mathematical methods, statistical methods, numerical methods, computational methods including Matlab; and makes the understanding of the subject more interesting. Contents: 1. Vector Spaces, 2. Hermite Polynomials, 3. Functions, 4. Solution of Partial Differential Equation, 5. Numerical Solution of Partial Differential Equations, 6. Fourier Transform, 7. The Discrete Fourier Transform, 8. Wavelet and Haar Transform, 9. Theory of Probability, 10. Theoretical Distribution, 11. Sampling Distribution (Large Samples), 12. Theory of Estimation, 13. Theory of Testing a Hypothesis, 14. Markov Analysis, 15. Queuing Theory, 16. Fuzzy Sets, 17. Decision Theory, 18. Calculus of Variation, 19. Theory of Reliability and Fault Tolerant, 20. Goal Programming, 21. MATLAB, 22. Hankel and Mellin Transforms, 23.Integral Equation. About the Author: Prof. R. N. Yadava, 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) & Engineering Mathematics – I. Dr. Anil Goyal, 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 'Engineering Mathematics - I', '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. Dr. Ramakant Bhardwaj, 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) & Engineering Mathematics - I. Dr. Sarvesh Kumar Agrawal, 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) & Engineering Mathematics - I. Presently he is working as an Associate Professor in the Department of Mathematics, Truba College of Science & Technology, Bhopal.