In the name of Allah the Merciful

Applied Linear Analysis for Chemical Engineers: A Multi-scale Approach with Mathematica®

Vemuri Balakotaiah, Ram R. Ratnakar, 3110739690, 9783110739695, 978-3110739695, 978-3-11-073969-5, 978-3-11-073970-1, 978-3110739701, 9783110739701, 978-3-11-073978-7, 978-3110739787, 9783110739787

English | 2023 | PDF | 38 MB | 784 Pages

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This textbook gives a unified treatment of the solution of various linear equations that arise in science and engineering with examples. It is based on a course taught by the first author for over thirty years. Some unique features include:

  • Use of symbolic software for illustrating and enhancing the impact of physical parameter changes on solutions.
  • Multi-scale analysis of engineering problems with physical interpretation of time and length scales in terms of eigenvalues and eigenvectors/eigenfunctions.
  • Discussion of compartment models for various finite dimensional problems.
  • Evaluation and illustration of functions of matrices (and use of symbolic manipulation) to solve multi-component diffusion-convection-reaction problems.
  • Illustration of the techniques and interpretation of solutions to several classical engineering problems.
  • Emphasis on the connection between discrete (matrix algebra) and continuum.
  • Physical interpretation of adjoint operator and adjoint systems.
  • Use of complex analysis and algebra in the solution of practical engineering problems.