## 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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### Contents

Vector and Vector Spaces 2044 | 20 |

Matrices Operators and Transformations 4565 | 45 |

Applications to Chemical Engineering Systems 6693 | 66 |

Partial Differential Equations 94112 | 94 |

SturmLouiville Theory 113146 | 113 |

Separation of Variables and Fourier Transforms 147180 | 147 |

Greens Functions 181213 | 181 |

Uniqueness Conditions for Linear and Nonlinear Systems 214238 | 214 |

Steady State Characteristics of Nonlinear Dynamical Systems 239260 | 239 |

Linear Stability and Limit Cycles 261299 | 261 |

Secondary Bifurcations and Chaos 300323 | 300 |

325 | |

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algebraic equations arise attractor bifurcation diagram bifurcation point bifurcation theory boundary conditions chaotic Chapter characteristic chemical engineering coefficients complex concept Consider constant converge coordinates corresponding CSTR defined denoted dependent determined differential operator dimension discussed domain dynamical system eigenfunctions eigenvalue problem eigenvectors elliptic evolution Example finite fixed point Fourier transform geometric Green's function heat Hence implies independent variable infinite dimensional infinite number initial condition initial guess integral iterate limit cycle linear algebraic linear combination mathematical matrix maximum principles metric modelling nonlinear equations nonzero norm obtain occur one-dimensional ordinary differential equations orthogonal parabolic parameter partial differential equations period-doubling period-doubling bifurcation period-two periodic perturbation phase-plane r-direction reaction reactor representation represents satisfies scalar self-adjoint operator separation of variables sequence shown in Fig solving spatial stability Stakgold steady surface system behaviour Taking the inner-product temperature theorem trajectory two-dimensional unit circle unstable vector space Weinberger yields zero