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Mathematics for engineers

Suitable for undergraduate students in the engineering and science disciplines, this book offers specially designed numerical examples and exercises which test the degree of understanding achieved. It covers the complete syllabi of engineering mathematics in various universities.

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Bibliographic Details
Main Author: Dube, Rakesh
Format: Book
Language:English
Published: Oxford, U.K. Alpha Science International 2010.
Subjects:
Engineering mathematics > Textbooks.
Engineering mathematics > Problems, exercises, etc.
Mathematics > Textbooks.
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Table of Contents:
  • 'Preface
  • 1. Algebra of Matrices
  • 2. Rank of a Matrix and Linear Equations
  • 3. Characteristic Roots and Characteristic Vectors of a Matrix
  • 4. Successive Differentiation
  • 5. Expansion of Functions
  • 6. Partial Differentiation
  • 7. Expansion of Functions for Two Variables, Approximation, Maxima and Minima
  • 8. Jacobians
  • 9. Asymptotes
  • 10. Curve Tracing
  • 11. Multiple Integrals
  • 12. Gamma, Beta Functions and Dirichlet's Integrals
  • 13. Applications of Multiple Integrals
  • 14. Differentiation of Vectors
  • 15. Integration of Vectors
  • 16. Differential Operators: Gradient, Divergence and Curl
  • 17. Line, Surface and Volume Integrals
  • 18. Green's, Stoke's and Gauss's Theorems
  • 19. Differential Equations and their Formation
  • 20. Differential Equations of the First Order and First Degree
  • 21. Linear Differential Equations with Constant Coefficients
  • 22. Homogeneous Linear Equations Or Euler-Cauchy's Equations
  • 23. Ordinary Simultaneous Differential Equations
  • 24. Linear Equations of Second Order
  • 25. Applications of Differential Equations
  • 26. Integration in Series
  • 27. Bessel's Equation and its Solutions
  • 28. Legendre's Equation and its Solutions
  • Index
  • 29. The laplace transform
  • 30. The inverse laplace transforms
  • 31. Applications of laplace transforms
  • 32. Fourier series
  • 33. Partial differential equations of the first order
  • 34. Linear partial differential equations
  • 35. Classification of linear partial differential equations
  • 36. Method of separation of variables
  • 37. The fourier transform
  • 38. The Z-transform
  • 39. Analytic functions
  • 40. Complex integrations
  • 41. Power series and expansion in series
  • 42. Singularities
  • 43. Calculus of redidues and evaluation of real definite integrals
  • 44. Conformal mapping
  • 45. Moments, skewness and kurtosis
  • 46. Correlation analysis
  • 47. Regression analysis
  • 48. Probability distributions
  • 49. Theory of equations
  • 50. Method of least squares: curve fitting
  • Index

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