MATHEMATICAL METHODS IN CHEMICAL ENGINEERINGThis comprehensive, well organized and easy to read book presents concepts in a unified framework to establish a similarity in the methods of solutions and analysis of such diverse systems as algebraic equations, ordinary differential equations and partial differential equations. The distin-guishing feature of the book is the clear focus on analytical methods of solving equations. The text explains how the methods meant to elucidate linear problems can be extended to analyse nonlinear problems. The book also discusses in detail modern concepts like bifurcation theory and chaos.To attract engineering students to applied mathematics, the author explains the concepts in a clear, concise and straightforward manner, with the help of examples and analysis. The significance of analytical methods and concepts for the engineer/scientist interested in numerical applications is clearly brought out.Intended as a textbook for the postgraduate students in engineering, the book could also be of great help to the research students. |
Contents
| 5 | |
Matrices Operators and Transformations | 45 |
Applications to Chemical Engineering Systems | 66 |
SturmLouiville Theory | 113 |
Separation of Variables and Fourier Transforms | 147 |
Greens Functions | 182 |
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Common terms and phrases
algebraic equations attractor axioms bifurcation theory boundary conditions c₁ c₂ Chapter chemical engineering coefficients complex concepts Consider constant converge coordinates corresponding CSTR defined denoted dependent determined differential operators dimension Dirichlet discussed domain dynamical system eigenfunctions eigenvalue problem eigenvectors elliptic evolution Example finite fixed point Fourier transform geometric Green's function heat Hence independent variable infinite dimensional initial condition integral limit cycle linear algebraic linear combination linear equations linearly independent mathematical matrix maximum principles method metric modelling nonlinear equations nonzero norm obtain one-dimensional ordinary differential equations orthogonal parabolic parameter partial differential equations period-doubling bifurcation reaction reactor representation represents satisfies self-adjoint self-adjoint operator separation of variables sequence shown in Fig solution solving spatial stability Stakgold steady system behaviour t₁ Taking the inner-product temperature Theorem trajectory two-dimensional u₁ unique unstable vector space x₁ yields zero ди