Essentials of engineering mathematics : worked examples and problems /: worked examples and problems. (2004)

• Record Type: Book
• Further Information: Note: Alan Jeffrey.
• Other Names: Jeffrey, Alan
• Contents: Section 1. Real numbers, inequalities and intervals -- Section 2. Function, domain and range -- ch. 3. Basic coordinate geometry -- Section 4. Polar coordinates -- Section 5. Mathematical induction -- Section 6. Binomial theorem -- Section 7. Combination of function -- Section 8. Symmetry in function and graphs -- Section 9. Inverse function -- Section 10. Complex numbers : real and imaginary forms -- Section 11. Geometry of complex numbers -- Section 12. Modulus-argument form of a complex number -- Section 13. Roots of complex numbers -- Section 14. Limits -- Section 15. One-sided limits : continuity -- Section 16. Derivatives -- Section 17. Leibniz's formula -- Section 18. Differentials -- Section 19. Differentiation of inverse trigonometric functions -- Section 20. Implicit differentiation -- Section 21. Parametrically defined curves and parametric differentiation -- Section 22. The exponential function -- Section 23. The logarithmic function -- Section 24. Hyperbolic functions -- Section 25. Inverse hyperbolic functions -- Section 26. Properties and applications of differentiability -- Section 27. Functions of two variables -- Section 28. Limits and continuity of functions of two real variables -- Section 29. Partial differentiation -- Section 30. The total differential -- Section 31. The chain rule -- Section 32. Change of variable in partial differentiation -- Section 33. Antidifferentiation (integration) -- Section 34. Integration by substitution -- Section 35. Some useful standard forms -- Section 36. Integration by parts -- Section 37. Partial fractions and integration of rational functions -- Section 38. The definite integral -- Section 39. The fundamental theorem of integral calculus and the evaluation of definite integrals -- Section 40. Improper integrals -- Section 41. Numerical integration -- Section 42. Geometrical applications of definite integrals -- Section 43. Centre of mass of a plane lamina (centroid) -- Section 44. Applications of integration to he hydrostatic pressure on a plate -- Section 45. Moments of inertia -- Section 46. Sequences -- Section 47. Infinite numerical series -- Section 48. Power series -- Section 49. Taylor and Maclaurin series -- Section 50. Taylor's theorem for functions of two variables : stationary points and their identification -- Section 51. Fourier series -- Section 52. Determinants -- Section 53. Matrices : equality, addition, subtraction, scaling and transposition -- Section 54. Matrix multiplication -- Section 55. The inverse matrix -- Section 56. Solution of a system of linear equations : Gaussian elimination -- Section 57. The Gauss-Seidel iterative method -- Section 58. The algebraic eigenvalue problem -- Section 59. Scalars, vectors and vector addition -- Section 60. Vectors in component form -- Section 61. The straight line -- Section 62. The scalar product (dot product) -- Section 63. The plane -- Section 64. The vector product (cross product) -- Section 65. Applications of the vector product -- Section 66. Differentiation and integration of vectors -- Section 67. Dynamics of a particle and the motion of a particle in a plane -- Section 68. Scalar and vector fields and the gradient of a scalar function -- Section 69. Orginary differential equations : order and degree, initial and boundary conditions -- Section 70. First order differential equations solvable by separation of variables -- Section 71. The method of isoclines and Euler's methods -- Section 72. Homogeneous and near homogeneous equations -- Section 73. Exact differential equations -- Section 74. The first order linear differential equation -- Section 75. The Bernoulli equation -- Section 76. The structure of solutions of linear differential equations of any order -- Section 77. Determining the complementary function for constant coefficient equations -- Section 78. Determining particular integrals of constant coefficient equations -- Section 79. Differential equations describing oscillations -- Section 80. Simultaneous first order linear constant coefficient differential equations -- Section 81. The Laplace transform and transform pairs -- Section 82. The Laplace transform of derivatives -- Section 83. The shift theorems and the Heaviside step function -- Section 84. Solution of initial value problems -- Section 85. The delta function and its use in initial value problems with the Laplace tranform -- Section 86. Enlarging the list of Laplace transform pairs -- Section 87. Symbolic algebraic manipulation by computer software.
• Edition: 2nd ed
• Publisher Details: Boca Raton : Chapman & Hall/CRC Press
• Publication Date: 2004
• Extent: 1 online resource (vii, 882 pages), illustrations
• Subjects: 510.2462 J46; Engineering mathematics -- Problems, exercises, etc; Engineering mathematics; Electronic books; Problems and exercises
• Languages: English
• ISBNs: 9781482286045; 1482286041
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.