Numerical Methods & Analysis




    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.

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