## 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. |

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quite helpful...with lots of cases.

### Contents

5 | |

Vector and Vector Spaces | 21 |

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

adjoint algebraic applications arise assume basis behaviour bifurcation bifurcation theory boundary conditions called Chapter chemical Clearly coefficients complex concepts Consider constant continuous converge coordinates corresponding defined definition denoted dependent derivative determined dimension dimensional direction discussed domain eigenfunctions eigenvalues eigenvectors elements engineering Example finite fixed point flow Fourier given Green's function heat Hence homogeneous implies independent independent variable infinite initial condition inner-product integral interested limit cycle linear mathematical matrix maximum method metric modelling multiple nonhomogeneous nonlinear norm obtain occur operator ordinary differential equations orthogonal parameter partial differential equations periodic physical problem properties reaction reactor relation representation represents satisfies self-adjoint sequence solution solving space stability steady surface symmetric matrix Taking temperature Theorem theory trajectory transform unique unit unstable variables vector vector space yields zero