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Basic Mathematics Part 1 (KIIT)

Basic Mathematics Part 1 (KIIT)

Author : H K Dass, Rajnish Verma & Rama Verma

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  • ISBN : 9789358703665
  • Pages : 840
  • Binding : Paperback
  • Language : English
  • Imprint : S Chand Publishing
  • © year : 2024
  • Size : 6.50*9.25

Price : 799.00 639.20

Quantity : - +

Embark on your mathematical journey or refresh your existing knowledge with Basic Mathematics Part I. This comprehensive guide lays a strong foundation in fundamental mathematical concepts and techniques, essential for advancing to higher-level mathematics and its myriad applications.
Unit I delve into Sets and Functions, the bedrock of mathematical reasoning. Explore essential topics such as sets, Cartesian products, relations, functions, measurement of angles and trigonometric functions. These concepts are vital not only in pure mathematics but also across various scientific and engineering disciplines.
Unit II tackles Algebra, where you'll engage with symbols and their manipulation. From mathematical induction and quadratic equations to linear inequalities and arithmetic and geometric progressions, this unit offers a systematic exploration of algebraic structures and operations.
As you progress, subsequent units build on these foundations, introducing advanced topics like coordinate geometry, trigonometric equations, limits, derivatives and more. Clear explanations and illustrative examples ensure you can understand and apply each concept effectively.
Structured to support your learning progression, Basic Mathematics Part I is designed to cater to diverse learning styles. It provides both theoretical explanations and practical problem-solving techniques. Equip yourself with the essential tools to excel in mathematics and beyond.

Unit I: SETS AND FUNCTIONS

1. Sets

2. Cartesian Product of Sets and Relations

3. Functions.

4. Measurement of Angles

5. Trigonometric Functions

6. Trigonometric Ratios of Compound Angles

7. Transformation of Formulae

8. Trigonometric Functions of Multiples and Submultiples of Angles

9. Trigonometric Equations

10. Sine and Cosine Formulae

Unit II: ALGEBRA

11. Mathematical Induction.

12. Complex Numbers

13. Polar form and Square Root of Complex Numbers

14. Quadratic Equations

15. Linear Inequalities

16. Permutations

17. Combinations

18. Binomial Theorem

19. Arithmetic Progression

20. Geometric Progression

Unit III: COORDINATE GEOMETRY

21. Cartesian System of Rectangular Co-ordinates

22. Straight Lines

23. General Equation of Line

24. Circles

25. Parabola

26. Ellipse

27. Hyperbola

28. Introduction to Three-Dimensional Geometry

Unit IV: CALCULUS

29. Limits

30. Derivatives

Unit V: RELATIONS AND FUNCTIONS

31. Relations

32. Functions

33. Binary Operations

34. Inverse Trigonometric Functions

Unit VI: ALGEBRA

35. Determinants

36. Matrices

37. Multiplication of Matrices

38. Solutions of Simultaneous Linear Equations

The book has been designed as a comprehensive guide through essential topics in Calculus, Integration and Vectors for all Engineering students and faculties.

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