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Comprehensive Applied Mathematics, Vol-I
Comprehensive Applied Mathematics, Vol-I

Tags: Comprehensive Applied Mathematics, arithmetic progression, Sequence and series, Geometric and harmonic progressions, Partial fractions, Permutations and combinations, Binomial theorem, Determinants, Exponential and logarithmic series, Trigonometry, trignometric ratio of multiple, Relation between angles and sides of a triangle, Inverse circular functions, Coordinate Geometry, Limit of a Function, Integration, Statistics, Probability, Applied Mathematics, book on Applied Mathematics, Applied Mathematics book, AICTE, algebra, trigonometry, geometry, Jyoti Kumar Arora, Jyoti Kumar Arora books

Comprehensive Applied Mathematics, Vol-I

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

  • Covered in 18 chapters the book covers diverse topics in algebra, trigonometry, geometry, coordinate geometry, calculus, statistics and probability.
  • Every chapter gives an outline of the theoretical background, results and formulae, followed by illustrative solved examples and exercises.
  • Over 800 solved problems of various grades have been given alongside the topics.
  • Proofs of all important results have been given in steps.
  • Provides answers to all the unsolved problems and exercise which helps students in better assessment.
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