Essentials Engineering Mathematics
eBook - PDF

Essentials Engineering Mathematics

  1. 896 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Essentials Engineering Mathematics

Book details
Table of contents
Citations

About This Book

First published in 1992, Essentials of Engineering Mathematics is a widely popular reference ideal for self-study, review, and fast answers to specific questions. While retaining the style and content that made the first edition so successful, the second edition provides even more examples, new material, and most importantly, an introduction to usi

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Information

Publisher
Chapman and Hall/CRC
Year
2004
ISBN
9781482286045
Edition
2
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Front Cover
  2. Contents
  3. Preface
  4. Section 1: Real numbers, inequalities and intervals
  5. Section 2: Function, domain and range
  6. Section 3: Basic coordinate geometry
  7. Section 4: Polar coordinates
  8. Section 5: Mathematical induction
  9. Section 6: Binomial theorem
  10. Section 7: Combination of functions
  11. Section 8: Symmetry in functions and graphs
  12. Section 9: Inverse functions
  13. Section 10: Complex numbers: real and imaginary forms
  14. Section 11: Geometry of complex numbers
  15. Section 12: Modulus–argument form of a complex number
  16. Section 13: Roots of complex numbers
  17. Section 14: Limits
  18. Section 15: One- sided limits: continuity
  19. Section 16: Derivatives
  20. Section 17: Leibniz's formula
  21. Section 18: Differentials
  22. Section 19: Differentiation of inverse trigonometric functions
  23. Section 20: Implicit differentiation
  24. Section 21: Parametrically defined curves and parametric differentiation
  25. Section 22: The exponential function
  26. Section 23: The logarithmic function
  27. Section 24: Hyperbolic functions
  28. Section 25: Inverse hyperbolic functions
  29. Section 26: Properties and applications of differentiability
  30. Section 27: Functions of two variables
  31. Section 28: Limits and continuity of functions of two real variables
  32. Section 29: Partial differentiation
  33. Section 30: The total differential
  34. Section 31: The chain rule
  35. Section 32: Change of variable in partial differentiation
  36. Section 33: Antidifferentiation (integration)
  37. Section 34: Integration by substitution
  38. Section 35: Some useful standard forms
  39. Section 36: Integration by parts
  40. Section 37: Partial fractions and integration of rational functions
  41. Section 38: The definite integral
  42. Section 39: The fundamental theorem of integral calculusand the evaluation of definite integrals
  43. Section 40: Improper integrals
  44. Section 41: Numerical integration
  45. Section 42: Geometrical applications of definite integrals
  46. Section 43: Centre of mass of a plane lamina (centroid)
  47. Section 44: Applications of integration to he hydrostatic pressure on a plate
  48. Section 45: Moments of inertia
  49. Section 46: Sequences
  50. Section 47: Infinite numerical series
  51. Section 48: Power series
  52. Section 49: Taylor and Maclaurin series
  53. Section 50: Taylor's theorem for functions of two variables: stationary points and their identification
  54. Section 51: Fourier series
  55. Section 52: Determinants
  56. Section 53: Matrices: equality, addition, subtraction, scaling and transposition
  57. Section 54: Matrix multiplication
  58. Section 55: The inverse matrix
  59. Section 56: Solution of a system of linear equations: Gaussian elimination
  60. Section 57: The Gauss–Seidel iterative method
  61. Section 58: The algebraic eigenvalue problem
  62. Section 59: Scalars, vectors and vector addition
  63. Section 60: Vectors in component form
  64. Section 61: The straight line
  65. Section 62: The scalar product (dot product)
  66. Section 63: The plane
  67. Section 64: The vector product (cross product)
  68. Section 65: Applications of the vector product
  69. Section 66: Differentiation and integration of vectors
  70. Section 67: Dynamics of a particle and the motion of a particle in a plane
  71. Section 68: Scalar and vector fields and the gradient of a scalar function
  72. Section 69: Ordinary differential equations: order and degree, initial and boundary conditions
  73. Section 70: First order differential equations solvable by separation of variables
  74. Section 71: The method of isoclines and Euler’s methods
  75. Section 72: Homogeneous and near homogeneous equations
  76. Section 73: Exact differential equations
  77. Section 74: The first order linear differential equation
  78. Section 75: The Bernoulli equation
  79. Section 76: The structure of solutions of linear differential equations of any order
  80. Section 77: Determining the complementary function for constant coefficient equations
  81. Section 78: Determining particular integrals of constant coefficient equations
  82. Section 79: Differential equations describing oscillations
  83. Section 80: Simultaneous first order linear constant coefficient differential equations
  84. Section 81: The Laplace transform and transform pairs
  85. Section 82: The Laplace transform of derivatives
  86. Section 83: The shift theorems and the Heaviside step function
  87. Section 84: Solution of initial value problems
  88. Section 85: The delta function and its use in initial value problems with the Laplace transform
  89. Section 86: Enlarging the list of Laplace transform pairs
  90. Section 87: Symbolic algebraic manipulation by computer software
  91. Answers
  92. Reference information