Numerical Methods & Analysis6.0

The app is a complete free handbook of Numerical Methods & Analysis which covers important topics, notes, materials & news on the course. Download the App as a reference material & digital book for Mathematics & mechanical engineering programs & degree courses. The study is also used extensively in Artificial intelligence, algorithms, real time systems and machine learning.

This useful App lists 77 topics with detailed notes, diagrams, equations, formulas & course material, the topics are listed in 5 chapters. The app is must have for all the engineering science students & professionals.

The app provides quick revision and reference to the important topics like a detailed flash card notes, it makes it easy & useful for the student or a professional to cover the course syllabus quickly just before an exams or job interviews.

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Some of the topics Covered in this application are:

1. Solution of algebraic and transcendental equations

2. Methods of solving roots of polynomial equations

3. Initial Approximation for an Iterative Procedure

4. Method of False Position

5. Newton-Raphson Method

6. General Iteration Method

7. Convergence of the Iteration Methods

8. Linear system of algebraic equations

9. Direct method for solving linear system

10. Guass elimination method

11. Guass jordan method

12. Iterative Methods

13. Gauss-Jacobi Iteration Method

14. Gauss-Seidel Iteration Method

15. Eigen value problems

16. Power method

17. Interpolation

18. Lagrange Interpolation

19. Linear Interpolation

20. Quadratic interpolation

21. Error of interpolation

22. Divided differences

23. Newton’s Divided Difference Interpolation

24. Interpolation With Evenly Spaced Points

25. Relations between differences and derivatives

26. Newton’s forward difference formula

27. Newton’s Backward Difference Interpolation Formula

28. Spline function

29. Cubic Interpolation

30. Numerical Differentiation

31. Derivatives Using Newton’s Forward Difference Formula

32. Derivatives Using Newton’s Backward difference Formula

33. Derivatives using Divided Difference Formula

34. Numerical Integration and Integration Rules Based on Uniform Mesh Spacing

35. Trapezium Rule

36. Error in Trapezium Rule

37. Composite trapezium rule

38. Simpson’s 1/3 Rule

39. Error in Simpson’s 1/3 Rule

40. Composite Simpson’s 1/3 Rule

41. Simpsom’s 3/8 Rule

42. Romberg Method

43. Romberg method for the trapezium rule

44. Romberg method for the Simpson’s 1/3 Rule

45. Gauss-Legendre Integration Rules

46. Gauss one point rule (Gauss-Legendre one point rule)

47. Gauss Two point rule (Gauss-Legendre Two point rule)

48. Gauss Three point rule (Gauss-Legendre Three point rule)

49. Evaluation of Double Intergral Using Trapezium Rule

50. Evaluation of Double Intergral Using Simpson’s rule

51. Introduction to Initial Value Problem for Ordinary Differential Equations

52. Reduction of second order equation to a first order system

53. Single Step Method

54. Multi step Methods

55. Taylor series Method

56. Modified Euler or Heun’s Methods

57. Runge Kutta Methods

Each topic is complete with diagrams, equations and other forms of graphical representations for better learning and quick understanding.

Numerical Methods & Analysis is part of Mathematics & mechanical engineering education courses and technology degree programs of various universities.