Research Catalog

Title

Essentials of engineering mathematics / Alan Jeffrey.

Author

Jeffrey, Alan.

Publication

Boca Raton : Chapman & Hall/CRC Press, 2004.

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Holdings

Details

Description

vii, 882 pages : illustrations; 23 cm

Summary

"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 using two of the most prevalent software packages in engineering: Maple and MATLAB." "The author includes all of the topics typically covered in first-year undergraduate engineering mathematics courses, organized into short, easily digestible sections that make it easy to find any subject of interest. Concise, right-to-the-point exposition, a wealth of examples, and extensive problem sets at the end each chapter - with answers at the end of the book - combine to make Essentials of Engineering Mathematics, Second Edition ideal as a supplemental textbook, for self-study, and as a quick guide to fundamental concepts and techniques."--BOOK JACKET.

Subject

• Engineering mathematics > Problems, exercises, etc

Note

• Includes index.

Contents

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

ISBN

1584884894 (alk. paper)

LCCN

2004045581

OCLC

• 54753005
• ocm54753005
• SCSB-5149893

Owning Institutions

Columbia University Libraries