Description

Book Synopsis

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.

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

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    A Paperback by Vemuri Balakotaiah, Ram R. Ratnakar

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      Book details

      Publisher De Gruyter
      Published 31 December 2022
      ISBN-13 9783110739695
      978-3110739695
      ISBN-10 3110739690
      Also in:
      Mathematics Applied mathematics

      Description

      Book Synopsis

      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.

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