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  • Format: ePub

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…mehr

Produktbeschreibung
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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Autorenporträt


Vemuri Balakotaiah

is a Professor of Chemical and Biomolecular Engineering and holds the Hugh Roy and Lillie Cranz Cullen Distinguished University Chair at the University of Houston.



Ram R. Ratnakar

is a Subject Matter Expert (Thermodynamics/PVT) and a Sr. Researcher in R&D Mathematics & Computation at Shell Int. E&P.