Comprehensive Applied Mathematics Volume-I

Contents: 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. 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. (jacket).…