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balakotaiah v applied linear analysis chemical engineers 2ed 2025

Type:: E-books
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Size:: 10.4 MB
Uploaded On:: Sept. 1, 2025, 3:12 p.m.
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Info Hash:: FE0072D1DB5064C09C5F1B46AF876530911B3127

Textbook in PDF format 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. Includes 100 illustrative problems in the text. Additional 150 practice problems along with solutions. Use of symbolic manipulators (such as Mathematica) and generation of graphics. Various web based extensions. Matrices and linear algebraic equations Determinants Vectors and vector expansions Solution of linear equations by eigenvector expansions Solution of linear equations containing a square matrix Generalized eigenvectors and canonical forms Quadratic forms, positive definite matrices and other applications Vector space over a field Linear transformations Normed and inner product vector spaces Applications of finite-dimensional linear algebra The linear initial value problem Linear systems with periodic coefficients Analytic solutions, adjoints and integrating factors Introduction to the theory of functions of a complex variable Series solutions and special functions Laplace transforms Two-point boundary value problems The nonhomogeneous BVP and Green’s function Eigenvalue problems for differential operators Sturm–Liouville theory and eigenfunction expansions Introduction to the solution of linear integral equations Finite Fourier Transforms Fourier transforms on infinite intervals Fourier transforms in cylindrical and spherical geometries The classical Graetz–Nusselt problem Friction factors for steady-state laminar flow in ducts Multicomponent diffusion and reaction Packed-bed chromatography Stability of transport and reaction processes

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Balakotaiah V. Applied Linear Analysis for Chemical Engineers...2ed 2025.pdf 10.4 MB

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balakotaiah v applied linear analysis chemical engineers 2ed 2025

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