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Modern Engineering Mathematics
Modern Engineering Mathematics

Tags: Modern Engineering Mathematics, GCC, Gulf Cooperation Council, Differential Equations and Their Formation, Differential Equations of First Order, nth Order Differential Equations, Laplace Transforms, Fourier Transform, Riyaz Ahmad Khan, homogenous, linear, nonlinear exact

Modern Engineering Mathematics

This book is meant for the students of Engineering courses, specially of Gulf Cooperation Council (GCC) countries. Necessary theory is employed in outlining definitions, formulae, laws, etc.; however, intention is to introduce the topics through examples, applications and analogies, instead of abstract theoretical arguments. The book explains:

  • basics of differential equations, formation of differential equations, order and degree;
  • solutions of differential equations by variable separable, homogenous, non- homogenous, linear, nonlinear exact, and reducible to exact differential equations;
  • orthogonal trajectories;
  • nth order differential equations, simultaneous differential equations;
  • boundary value problems;
  • Laplace transform;
  • Z-transform; and
  • Fourier transform.

1. Differential Equations and Their Formation
2. Differential Equations of First Order and First Degree
3. Applications of First Order Differential Equations
4. n
th Order Differential Equations
5. Boundary Value Problem
6. Laplace Transforms
7. Partial Differential Equation
8. z-Transform
9. Fourier Transform
References
Index

  • Fundamentals of the topics have been explained with a microanalysis.
  • Solved examples of different kinds of problems have been given to make the reader to understand the skills necessary to solve the problems.
  • Unsolved exercise of different kinds of problems have also been given.
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