Rakesh Dube | Nimisha | O P Chaudhary | Category: Mathematics

Binding Type: Hard Binding

Book Details

ISBN: 9789384370237

YOP: 2018

Pages: 1590

Order also on

Engineering Mathematics is an interdisciplinary subject taught in every branch of Engineering. The book titled “Higher Mathematics – Science & Engineering” is designed to cover the undergraduate and post graduate courses of Engineering. This book provides detailed explanation and concept of each topic with problem solving techniques and engineering applications. This book may be used as text and or reference book by every Engineering Mathematics learner and expert.

It covers the topics like: Differential Calculus, Integral Calculus, Vector Calculus, Ordinary Differential Equations, Partial Differential Equations, Special Functions, Fourier series, Laplace Transform, Fourier Transform, ZTransform, Linear Algebra, Boolean algebra, Graph Theory, Fuzzy Logic, Complex Variables, Numerical Analysis, Statistics, Reliability, Operation Research.

1. Expansion of Functions

2. Partial Differentiation

3. Maxima and Minima

4. Tangents and Normals

5. Curvature

6. Definite Integral as Limit of a Sum

7. Multiple Integrals

8. Applications of Multiple Integrals

9. Gamma, Beta Functions Dirichlet’s Integrals

10. Differentiation of Vectors

11. Differential Operators: Gradient, Divergence and Curl

12. Integration of Vectors

13. Line, Surface and Volume Integrals

14. Green’s, Stoke’s and Gauss’s Theorems

15. Differential Equations and Their Formation

16. Ordinary Differential Equations of First Order

17. Linear Differential Equations with Constant Coefficients

18. Homogeneous Linear Equations or Euler-Cauchy’s Equations

19. Ordinary Simultaneous Differential Equations

20. Linear Differential Equation of Second Order

21. Solution in Series

22. Bessel’s Equations and Bessel’s Function

23. Lengendre’s Equation and Lengendre’s Polynomials

24. Introduction to Partial Differential Equations

25. Linear Partial Differential Equations with Constant Coefficients

26. Classification of Linear Partial Differential Equations of Second Order

27. Applications of Partial Differential Equation

28. Fourier Series

29. The Laplace Transform

30. The Inverse Laplace Transform

31. Applications of Laplace Transform

32. The Fourier Transform

33. The Z-Transform

34. Algebra of Matrices

35. Rank of a Matrix and Linear Equations

36. Boolean Algebra and Its Applications

37. Graph Theory

38. Algebra of Logic

39. Fuzzy Logic

40. Theory of Equations

41. Analytic Function

42. Complex Integration

43. Power Series and Expansion in Series

44. Singularities

45. Calculus of Residues and Evaluation of Real Definite Integrals

46. Evaluation of Definite Integrals

47. Conformal Representation

48. Differences, Operators, Interpolation with Equal Intervals

49. Approximation

50. Interpolation with Unequal Intervals

51. Central Difference Interpolation Formulae

52. Inverse Interpolation

53. Numerical Differentiation

54. Numerical Integration

55. Solution of Algebraic Transcendental Equations

56. Numerical Solution of Ordinary Differential Equations

57. Numerical Solution to Partial Differential Equations

58. Probability Distribution

59. Method of Least Squares: Curve Fitting

60. Forecasting and Decision Theory

61. Introduction to Reliability

62. Reliability Mathematics

63. Operation Research

Index

Engineering Mathematics is an interdisciplinary subject taught in every branch of Engineering. The book titled “Higher Mathematics – Science & Engineering” is designed to cover the undergraduate and post graduate courses of Engineering. This book provides detailed explanation and concept of each topic with problem solving techniques and engineering applications. This book may be used as text and or reference book by every Engineering Mathematics learner and expert.

It covers the topics like: Differential Calculus, Integral Calculus, Vector Calculus, Ordinary Differential Equations, Partial Differential Equations, Special Functions, Fourier series, Laplace Transform, Fourier Transform, ZTransform, Linear Algebra, Boolean algebra, Graph Theory, Fuzzy Logic, Complex Variables, Numerical Analysis, Statistics, Reliability, Operation Research.

1. Expansion of Functions

2. Partial Differentiation

3. Maxima and Minima

4. Tangents and Normals

5. Curvature

6. Definite Integral as Limit of a Sum

7. Multiple Integrals

8. Applications of Multiple Integrals

9. Gamma, Beta Functions Dirichlet’s Integrals

10. Differentiation of Vectors

11. Differential Operators: Gradient, Divergence and Curl

12. Integration of Vectors

13. Line, Surface and Volume Integrals

14. Green’s, Stoke’s and Gauss’s Theorems

15. Differential Equations and Their Formation

16. Ordinary Differential Equations of First Order

17. Linear Differential Equations with Constant Coefficients

18. Homogeneous Linear Equations or Euler-Cauchy’s Equations

19. Ordinary Simultaneous Differential Equations

20. Linear Differential Equation of Second Order

21. Solution in Series

22. Bessel’s Equations and Bessel’s Function

23. Lengendre’s Equation and Lengendre’s Polynomials

24. Introduction to Partial Differential Equations

25. Linear Partial Differential Equations with Constant Coefficients

26. Classification of Linear Partial Differential Equations of Second Order

27. Applications of Partial Differential Equation

28. Fourier Series

29. The Laplace Transform

30. The Inverse Laplace Transform

31. Applications of Laplace Transform

32. The Fourier Transform

33. The Z-Transform

34. Algebra of Matrices

35. Rank of a Matrix and Linear Equations

36. Boolean Algebra and Its Applications

37. Graph Theory

38. Algebra of Logic

39. Fuzzy Logic

40. Theory of Equations

41. Analytic Function

42. Complex Integration

43. Power Series and Expansion in Series

44. Singularities

45. Calculus of Residues and Evaluation of Real Definite Integrals

46. Evaluation of Definite Integrals

47. Conformal Representation

48. Differences, Operators, Interpolation with Equal Intervals

49. Approximation

50. Interpolation with Unequal Intervals

51. Central Difference Interpolation Formulae

52. Inverse Interpolation

53. Numerical Differentiation

54. Numerical Integration

55. Solution of Algebraic Transcendental Equations

56. Numerical Solution of Ordinary Differential Equations

57. Numerical Solution to Partial Differential Equations

58. Probability Distribution

59. Method of Least Squares: Curve Fitting

60. Forecasting and Decision Theory

61. Introduction to Reliability

62. Reliability Mathematics

63. Operation Research

Index