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
