Chapter 1

Mathematical Preliminaries

Mathematics is the backbone of all Sciences, Economics as well as all branches of Engineering.

The main objective of this chapter is to provide a brief and necessary background of the following main topics of mathematics:

  • fundamentals of scalar and vector coordinate systems
  • operations with del
  • determinants and matrices
  • series and identities
  • trigonometric functions
  • differentiation and integration formulae
  • integral theorems and so on
  • points/formulae to remember, solved problems, objective questions and exercise problems.
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The analysis and design of any system or device is impossible without mathematics.

Mathematics is the backbone of science and engineering. For all analytical or computational ...

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