The present book is designed for the course in Applied Mathematics to meet the requirements of the first year Diploma courses for all the engineering branches of different Technical Boards of Education in India. The objective of this book is to provide a simple presentation of the concepts, emphasizing understanding without sacrificing mathematical rigour. The book is composed of eighteen chapters. Each chapter presents illustrative solved examples and exercises. The problems given in exercises would develop interest and encourage the students to explore new ideas.The book presents an exhaustive coverage of the theory, formulae and a large number of solved examples to make the underlying principles more comprehensive:
1. Functions 2. Sequence and series: arithmetic progression 3. Geometric and harmonic progressions 4. Partial fractions 5. Permutations and combinations 6. Binomial theorem 7. Determinants 8. Exponential and logarithmic series 9. Trigonometry 10. The trignometric ratio of multiple and submultiple angle 11. Relation between angles and sides of a triangle. 12. Inverse circular functions 13. Coordinate Geometry 14. Circle, Conic section (Parabola, Ellipse, Hyperbola) 15. Limit of a Function 16. Integration 17. Statistics 18. Probability.
Jyoti Kumar Arora :- J K Arora is engaged in teaching Applied Mathematics at Technical College Dayalbagh Educational Institute (Deemed University), Agra. He obtained his Ph.D. in "Mechanics of Bio-fluids' from Dr. B R Ambedkar University, Agra in 1996. He has series of publications in reputed national and international journal s. He is on the editorial boards of International Journal of Mathematics: Trend and Technology and International Journal of computer Science and Business Informatics. Dr. Arora has been invited to speak at prominent conferences and has also contributed towards research in the field of Applied Mathematics at various forum including Imperial College of London, United Kingdom; University of Arizona, United States of America, etc.